Answer:
256 ft^250 ft^225 ft^2281 ft^2Step-by-step explanation:
Prism Area
The total surface area of a rectangular prism is given by ...
SA = 2(LW +H(L +W))
For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...
SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))
= 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1
__
Pyramid Lateral Area
The lateral area of the pyramid is 4 times the area of one triangular face:
LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2
__
Pyramid Base Area
The area of the square base of the pyramid is the square of the length of one edge:
B = (5 ft)^2 = 25 ft^2 . . . blank 3
__
Total Exposed Area
The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.
total exposed area = (exposed prism area) + (pyramid lateral area)
= (prism area) - (pyramid base area) + (pyramid lateral area)
= 256 ft^2 - 25 ft^2 + 50 ft^2
total exposed area = 281 ft^2 . . . blank 4
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!
The population of a country has been increasing for several decades. In 1990, the population was about 233 million people. In 2014, the population was about 291 million people. Determine the percent increase in the country's population during this time period.
Answer:
the answer for this question is increase 24.89%
Step-by-step explanation:
100%= 233 million
? = 291 million
100%/(233×10^6) : x/(291×10^6)
x=[100%×(291×10^6)]/(233×10^6)
x=124.8927039
x=124.89
124.89%-100%=24.89%
Are these functions??!!
I need this for today if you do all of it i’ll fr cashapp you money for it wassupp?
Answer:
Going from left to right:
1.) Yes
2.) No
3.) Yes
4.) No
5.) No
6.) Yes
7.) No
8.) No
9.) Yes
10.) No
11.) Yes
12.) Yes
13.) No
14.) Yes
15.) Yes
16.) No
Step-by-step explanation:
Functions cannot have any repeating x-coordinates.
1.) Yes
2.) No
3.) Yes
4.) No
5.) No
6.) Yes
7.) No
8.) No
9.) Yes
10.) No
11.) Yes
12.) Yes
13.) No
14.) Yes
15.) Yes
16.) No
CD and EF are parallel lines. AB is a straight line
Answer:
x =42
q = 135°
p + q + r = 225°
Step-by-step explanation:
a)
Since, AB and BC are perpendicular lines.
[tex] m\angle ABC = 90\degree \\
\therefore 24\degree + x\degree + 24\degree = 90\degree \\
\therefore x\degree + 48\degree = 90\degree \\
\therefore x\degree = 90\degree - 48\degree \\
\huge \red {\boxed {\therefore x = 42}} \\[/tex]
b) (i)
Since, CD and EF are parallel lines and AB is a straight line.
[tex] \therefore q = 135\degree... (vertical \: \angle 's) \\\\
p + 135\degree = 180°..(straight\: line \: \angle' s) \\
p = 180\degree - 135\degree \\
\huge \purple {\boxed {p = 45\degree}} \\
\because r = p ... (vertical \: \angle 's) \\
\huge \purple {\boxed {r = 45\degree}} \\
p + q + r = 45\degree + 135\degree + 45\degree \\
\huge \purple {\boxed {p + q + r = 225\degree }}\\[/tex]
I will mark it as brainliest whoever has the clearest explanation
Answer:
44 cm
Please see the attached picture for full solution
Hope it helps....
Good luck on your assignment
Help me please please
Answer:
1/2 = 2^-1 = 1/2
Step-by-step explanation:
The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...
[tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]
__
Additional comment
It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.
The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.
Which of the following are linear measurements?
A) Length and width
B) Depth and height
C) Diameters, clearance, end play, and thickness
D) All of the above
Answer:
a. length and width
Step-by-step explanation:
option a is correct answer
Which expression has a positive value?
Negative 4 + (negative 5) (negative 6) divided by (negative 3)
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
3 (negative 64 divided by 8) + 25
Negative 2 (negative 5) (negative 3) divided by 10
Answer:
3 (negative 64 divided by 8) + 25 = 1
Step-by-step explanation:
Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20
3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1
Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3
The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25
Answer:
C
Step-by-step explanation:
i took the test
Solve for x in the diagram below.
200
(3x + 10°
Answer:
x = 20°
Step-by-step explanation:
4x + 10 = 90
4x = 80
x = 20
Answer:
[tex] \boxed{x\degree = 20\degree} [/tex]
Step-by-step explanation:
Two Angles are Complementary when they add up to 90° (a Right Angle).
[tex] = > x\degree + (3x + 10)\degree = 90\degree \\ \\ = > x\degree + 3x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree = 90\degree - 10\degree \\ \\ = > 4x\degree = 80\degree \\ \\ = > x\degree = \frac{80}{4} \degree \\ \\ = > x\degree = 20\degree [/tex]
In your own words what is a polygon
Answer:
A polygon is a plane figure with at least three straight sides and angles, and typically five or more.
Step-by-step explanation:
What is the solution to log (10x-1)= logs(9x+ 7)?
6
O X=
6
19
O X=
19
X= 7
X= 8
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]\log _{10}\left(10x-1\right)=\log _{10}\left(9x+7\right)\\\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)\\10x-1=9x+7\\\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\10x-1+1=9x+7+1\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\10x-9x=9x+8-9x\\\mathrm{Simplify}\\x=8\\[/tex]
The solution of the equation ㏒₅(10x - 1) = ㏒₅(9x + 7) is x = 8.
What are Logarithms?A logarithm is simply the opposite function of the exponentiation.
It is the exponent to which a number or value is raised to get some other number.
That is, if c = aˣ, then we can write it as x =logₐ c.
Given that,
㏒₅(10x - 1) = ㏒₅(9x + 7)
Let the value of both be n.
So, ㏒₅(10x - 1) = n and ㏒₅(9x + 7) = n
By the definition of logarithms,
10x - 1 = 5ⁿ and 9x + 7 = 5ⁿ
So,
10x - 1 = 9x + 7
10x - 9x = 7 + 1
x = 8
Hence the value of x is 8.
Learn more about Logarithms here :
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find the smallest nom which is divisible by 4 7 8 16
Answer:
112
Step-by-step explanation:
find LCM
4,7,8,16=112
Question
At a grocery store, bulk almonds sell for $3.80 per pound. The cost, y, in dollars, of x pounds of almonds is shown in the
table.
x (pounds)
y ($)
1.90
0.5
1
3.80
Hola
1.5
5.70
2
7.60
Select the correct answer from each drop-down menu.
The relation described in the table is
The domain of the relation is
The range of the relation is
Submit
INTL
Answer:
The domain is {0.5, 1, 1.5, 2}
The range is {1.9, 3.8, 5.7, 7.6}
Step-by-step explanation:
The cost, y is in dollars, and x in pounds of almonds is shown in the table.
x (pounds) y ($)
0.5 1.9
1 3.80
1.5 5.70
2 7.60
The grocery store sells almond at $3.80 per pound, the relation between y and x is given by the function:
y = 3.8x
The x values are the independent variables and they serve as the input of the function while the y values are the dependent variables (dependent on x) and the serve as the output of the function.
The domain consist of input values which is the x values. The domain is {0.5, 1, 1.5, 2}
The range consists of all output values i.e the y values. The range is {1.9, 3.8, 5.7, 7.6}
Any number of pounds of almonds can be purchased, including partial amounts, so the relation described in the table is continuous.
Because x can be any positive number of pounds, the domain of the relation is x ≥ 0, or x-values greater than or equal to 0.
Because y can be any positive dollar amount, the range of the relation is y ≥ 0, or y-values greater than or equal to 0.
If you solve this, you are a critical thinker:
Mr. Smith had 4 daughters. Each daughter had 4 brothers. How many kids does Mr. Smith have?
Let's organize what the problem gives us:
Mr. Smith had 4 daughters.Each daughter had 4 brothers.We want to find how many kids Mr. Smith has.Step 2: WorkWe can already tell that the initial amount of kids Mr. Smith has before we factor in the brother count is equal to 4, for the 4 daughters that were stated as a given in the problem.
Now, the tricky part comes in the form of "each daughter had 4 brothers." Remember that within a family, everyone has the same siblings. It doesn't matter which family member's perspective you are looking from, but your siblings will always stay the same. We can show this with an example:
Suppose I had a family of 4 kids total. I had 2 daughters and 2 sons. Their names were Rose, Sakura, David, and Andrew. Rose would then have 3 siblings: Sakura, David, and Andrew. Sakura would also have 3 siblings: Rose, David, and Andrew, so on and so forth.
Applying this example and knowledge to our current problem, if Mr. Smith's daughters each had 4 brothers, then the total number of kids Mr. Smith has is 8 total kids (4 daughters + 4 sons) since each daughter's brother would be the same sibling.
This would be called double-counting if you counted that each daughter would have 4 different siblings, resulting in a false answer of 16 kids (4 daughters multiplied by 4 brothers for each daughter).
Answer∴ Mr. Smith has 8 kids.
___
Topic: Math
Unit: ?
I will give you brainliest!!!!! Use the substitution method to solve for the system of equations. x+2y=6 y=x-3
Answer:x=4 y =1
Step-by-step explanation:
your welcome
Answer:
x = 4, y = 1
Step-by-step explanation:
Substitute the y in the first equation for x-3
X + 2(x-3) = 6
3x -6 = 6
3x = 12
x = 4
Plugging 4 into the second equation
y = 4-3
y = 1
which best decribes how to slove the equation below 26x=74
The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8? PLEASE HELP
Answer:
y= -4
Step-by-step explanation:
x+y=42. We know that x plus y equals 42.
x=2y . We also know that x equals twice y.
2y+y=42. Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.
y=14. 3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)
x+14=42. Now that we know what y equals, let's replace y with 14 from the original equation.
x=28. Now that we know that x=28 and y=14, we know that y is always x/2.
When x=-8, we divide it by 2 and get, -4.
Not absolutely positive as this was all mental math, but hope this helps! :)
The value of the variable y at x = -8, will be negative 49.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The numbers x and y are inversely proportional. Then we have
y ∝ 1/x
y = k/x ...1
When the sum of x and y is 42. Then the equation will be
x + y = 42 ...2
x is twice y. Then the equation will be
x = 2y ...3
From equations 2 and 3, we have
2y + y = 42
3y = 42
y = 14
Then the value of x will be
x = 2(14)
x = 28
Then the value of k will be
14 = k / 28
k = 392
Then the equation will be
y = 392 / x
Then the value of the variable y at x = -8, will be
y = 392 / (-8)
y = -49
Thus, the value of the variable y at x = -8, will be negative 49.
More about the ratio and the proportion link is given below.
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What is the quotient?
StartFraction (negative 3) Superscript 0 Over (negative 3) squared EndFraction
Answer:
1/9
Step-by-step explanation:
Where my coins at bruh and yo number jhit
The value of the expression {(-3)⁰}/{(-3)²} is 1/9.
What is an exponent?Exponentiation is one of the mathematics operations.
Let mᵃ, where m and a are the real numbers.
And m is multiplied by a times to itself.
So, a is the exponent of m.
Given:
Start Fraction (negative 3) Superscript 0 Over (negative 3) squared End Fraction
In numerator form:
{(-3)⁰}/{(-3)²}
= 1/9
Therefore, 1/9 is the value.
To learn more about the exponents;
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Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. Percent increase ≈ %
Answer:
The percentage increase in volume of the prism is impossible to find. This is because the current dimension or the diagram from which the dimension of the prism could be determined is not given.
However I will explain the methods to follow in finding this percentage increase, assuming that the current dimension of the prism is given.
Step-by-step explanation:
Assuming the volume the of prism is x ft³. After adding 1 ft to each dimension, the volume becomes y ft³.
The percentage increase = (y/x) × 100
= z%
That is,
Percentage increase = [(New volume) ÷ (Old volume)] × 100
The resulting value, z% is the percentage increase.
2. What is the distance between the points M(-8,11) and N(3,7)?
a) 11.7
b) 10.2
c) 18.7
d) 19.4
Answer:
I'm not sure I feel like it's A
Step-by-step explanation:
-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.
If I were you I would not trust my answer
The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The two points are:
M(-8,11) and N(3,7)
From the distance formula, we can find the distance between these two points:
Applying the distance formula:
[tex]\rm d=\sqrt{(3-(-8))^2+(7-11)^2}[/tex]
d = √137
d = 11.7 units
Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
Learn more about the distance formula here:
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What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 7
Hey there! :)
Answer:
(2, 3) and (-2, 11).
Step-by-step explanation:
To solve this system of equations, we can set both equations equal to each other:
x² -2x + 3 = -2x + 7
Combine like terms:
x² -4 = 0
Factor using difference of squares:
(x - 2)(x + 2) = 0
Therefore, x = 2 and -2. Plug both of these into an equation to solve for the 'y' value:
f(x) = -2(2) + 7
f(x) = -4 + 7
f(x) = 3
------------------
f(x) = -2(-2) + 7
f(x) = 4 + 7
f(x) = 11
Therefore, the two ordered pairs are (2, 3) and (-2, 11).
Ayuuuuuuddddaaaaaa!!!
Answer:
Los triangulos son iguales porque tienen dos lados y el angulo comprendido respectivamente iguales, por tanto
[tex]3x = x+8\\2x=8\\x=4\\[/tex]
possible answer
5
-5
2.8
-2.8
The Griffins bought a new car for $23,865. The total price was $26,959 which included $1,589 for tax and license, $742 for shipping, and payment for accessories. How much were the accessories?
Find the volume of the sphere. Use 3.14 for Pi. Round your answer to the nearest thousandth. A sphere with diameter 10 inches. a. 4186.667 cu. in. b. 523.333 cu. in. c. 104.667 cu. in. d. 294.375 cu. in. Please select the best answer from the choices
Volume of a Sphere Formula:
[tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
Diameter/Radius Relationship:
[tex]\displaystyle r = \frac{d}{2}[/tex]
ApplicationStep 1: Define
Let us clearly sort out what information this specific problem gives us:
We are given that the shape is a sphere.We are also given that the diameter of the sphere is equal to 10 inches.Finally, we are asked to find the volume of the sphere.We can consolidate this into mathematical symbols:
[tex]\displaystyle d = 10 \ \text{in}[/tex][tex]\displaystyle V_{\text{Sphere}} = \ ?[/tex]Step 2: WorkGiven what we know, we now need to find the volume of the sphere. With knowledge implied, found under the General Formulas and Concepts section above, we can first solve for the radius [tex]\displaystyle r[/tex]:
[tex]\displaystyle\begin{aligned}r & = \frac{d}{2} \\& = \frac{10 \ \text{in}}{2} \\& = \boxed{5 \ \text{in}} \\\end{aligned}[/tex]
∴ the radius of the sphere is equal to 5 inches.
Now that we have our radius, we can substitute this value into our volume of a sphere formula and evaluate:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \boxed{ \frac{500}{3} \pi \ \text{in}^3 } \\\end{aligned}[/tex]
∴ the volume of the sphere is equal to [tex]\boxed{ \frac{500}{3} \pi \ \text{in}^3 }[/tex].
To estimate our answer, we can simply substitute the value of [tex]\displaystyle \pi[/tex] for 3.14, as defined by the problem, and evaluate once more:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \frac{500}{3} \pi \ \text{in}^3 \\& = \frac{500}{3} (3.14) \ \text{in}^3 \\& \approx \boxed{ 523.333 \ \text{in}^3 }\end{aligned}[/tex]
∴ the volume of the sphere is approximately equal to [tex]\displaystyle \boxed{ 523.333 \ \text{in}^3 }[/tex].
Answer∴ the best answer choice that corresponds to our gathered result is answer choice b. 523.333 cu. in.
___
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___
Topic: Geometry
Unit: Volume
A circle , with centre O , radius 6cm has chords AB and CD which intersects at x . Find OX , if AX = 3cm and XB = 2cm
Answer:
OX = 5.4772 cm
Step-by-step explanation:
Please check image attached for the drawing of the circle with the chords and points.
From the theorem of intersecting chords, we have:
AE * EB = EF * EG
With AE = AX - EX, EB = BX + EX, EF = 6 - EO and EG = 6 + EO, we have:
(AX - EX) * (BX + EX) = (6 - EO) * (6 + EO)
(3 - EX) * (2 + EX) = 36 - EO^2
6 + EX - EX^2 = 36 - EO^2
EO^2 - EX^2 + EX = 30 (eq1)
From the triangle AEO, we have:
AE^2 + EO^2 = OA^2
(AX - EX)^2 + EO^2 = 6^2
(3 - EX)^2 + EO^2 = 36
9 - 6*EX + EX^2 + EO^2 = 36
EX^2 - 6*EX + EO^2 = 27 (eq2)
If we do (eq1) - (eq2), we have:
-2*EX^2 + 7*EX = 3
2*EX^2 - 7*EX + 3 = 0
Solving this quadratic equation, we have EX = 3 cm or EX = 0.5 cm
EX cannot be 3 cm, because AE would be 0 cm, so EX = 0.5 cm
Calculating EO, we have:
EO^2 - 0.5^2 + 0.5 = 30
EO^2 = 29.75
EO = 5.4544 cm
Now, using Pythagoras in the triangle EOX, we have:
EO^2 + EX^2 = OX^2
29.75 + 0.25 = OX^2
OX^2 = 30
OX = 5.4772 cm
There are 48 cans of soup on a crate. A supermarket has a delivery of 110 crates for £1980 and sells a can for 41p. How much profit does the supermarket make on the delivery?
Answer:
I would love to help but i dont know pounds so i will try to help in dollars then convert into pounds
lol :) just wait
Step-by-step explanation:
someone please help me, I’m struggling :(
Answer:
constant because it isn't going up or down, just moving straight
Step-by-step explanation:
Answer:
constant
Step-by-step explanation:
Since this is a horizontal line the slope is zero
This means the graph is constant
Find the
a
circle
circumference of
whose
area is 616 cm
Answer: 88 cm
Step-by-step explanation:
The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,
616=πr²
196=r²
r=14
Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.
C=2π(14)
C=28π
C=88 cm
Answer: 87.96 cm
Step-by-step explanation:
Radius = √a/π
=√616 / π = 14 cm
Circumference = 2πr
= 2 x π x 14
= 87.96 cm
Please help someone……………………
Answer:
I think it's number one
Step-by-step explanation: