The right answer is √74 units.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 71 B 72 C 73
Answer:
A and B
Step-by-step explanation:
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21
When simplifying an algebraic expression, the following steps are needed to be taken.
Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.
Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.
A) 126/2
Applying the division rule give:
126/2 = 63
B) 23 × 3
Applying multiplication rule gives:
23 × 3 = 69
C) 3 × 21
Applying multiplication rule gives:
3 × 21 = 63
Both the results of expression A and expression B are simplified to the same result
RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2). The distance between the x-coordinates of R and T is . The distance between the y-coordinates of R and T is . R' is from T, so the coordinates of R' are .
Answer:the distance between the x coordinates of R and T is 3.
The distance between the y coordinates of R and T is 6
R’ is 1 unit left, 2 units up from T, so the coordinates of R’ are (2,0)
Answer:
The answer above is correct!
First Box: 3
Second Box: 6
Third Box: 1 unit left, 2 units up
Fourth Box: (2,0)
Step-by-step explanation:
I attached a screenshot below for proof ;)
Hope this helps :D
Find the 19th term of this Geometric Sequence: 3, 6, 12, 24, 48, 96, ........ *
Answer:
786432
Step-by-step explanation:keep multipying it by 2 stupid
The 19th term of the given geometric sequence is 786432.
Important information:
Geometric Sequence: 3, 6, 12, 24, 48, 96, .... .Geometric Sequence:The nth term of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex] ...(i)
Where a is the first term and r is the common ratio.
In the given geometric sequence, [tex]a=3[/tex] and [tex]r=\frac{6}{3}=2[/tex].
Substitute [tex]a=3,r=2,n=19[/tex] in (i) to find the 19th term.
[tex]a_{19}=3(2)^{19-1}[/tex]
[tex]a_{19}=3(2)^{18}[/tex]
[tex]a_{19}=3(262144)[/tex]
[tex]a_{19}=786432[/tex]
Therefore, the 19th term of the given geometric sequence is 786432.
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This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 4 portions. Recipe: Serves 5 250 g oats 1.2 l milk 90 g sugar
Answer: 200 grams of oats, 0.96 liters of milk, 72 grams of sugar
Step-by-step explanation: 5 / 4 = 4/5. 4 is four-fifths of 5. So multiply everything by 4/5
250 * 4/5 = 200 grams
1.2* 4/5 = 0.96 liters
90* 4/5 = 72 grams
not sure on this one
Answer:
3.5
Step-by-step explanation:
LJ/sin 23° = 9/sin 89°
LJ/0.39 = 9/0,99
LJ = (9*0.39)/0.99 = 3.517
LJ ≈ 3.5
Answer:
3.5
Step-by-step explanation:
∠K is about 3 times less than ∠J
so opposite sides have roughly same ratio
Only the last option, 3.5 is close to the length 3 times less than 9
The height of the tower is five times the height of the building. If the tower is 52 meter taller than the building.then find the height of the tower
Answer:
Let, height of the Building = x
Height of the Tower = y
Height of the tower is 5 times from height of the building = y = 5x
Height of the tower is 52 meter taller than the building = y-x = 52
put 5x instead of y in the equation y-x=52
5x-x=52
4x=52
x=52/4
x=13 meter
y=5x
y=5(13)
y=65 meter
Need help with this
Pls!! Show work
Answer:
a) S_tot 320 cm² (cube), 282.743339 cm² (cylinder) thus the cube is a greater surface area.
b) V = 300 cm³ (cube) V = 314.159265 cm³ (cylinder) thus the cylinder has a greater volume.
Step-by-step explanation:
First solve for the cube:
length l = 10 cm
width w = 10 cm
height h = 3 cm
diagonal d = 14.4568323 cm
total surface area Stot = 320 cm²
lateral surface area S_lat = 120 cm²
top surface area S_top = 100 cm²
bottom surface area S_bot = 100 cm²
volume V = 300 cm³
Agenda: l = length
w = width
h = height
d = diagonal
S_tot = total surface area
S_lat = lateral surface area
S_top = top surface area
S_bot = bottom surface area
V = volume
Formulas for a rectangular prism or cube:
Volume of Rectangular Prism:
V = lwh
Surface Area of Rectangular Prism:
S = 2(lw + lh + wh)
Space Diagonal of Rectangular Prism:
d = √(l² + w² + h²)
_______________________________
Second we solve for the cylinder
radius r = 5 cm d/2 = 10/2 = 5 cm
height h = 4 cm
volume V = 314.159265 cm³
lateral surface area L = 125.663706 cm²
top surface area T = 78.5398163 cm²
base surface area B = 78.5398163 cm²
total surface area A = 282.743339 cm²
In Terms of Pi π
volume V = 100 π cm³
lateral surface area L = 40 π cm²
top surface area T = 25 π cm²
base surface area B = 25 π cm²
total surface area A = 90 π cm³
Agenda:
Agenda: l = length
w = width
h = height
d = diagonal
S_tot = total surface area
S_lat = lateral surface area
S_top = top surface area
S_bot = bottom surface area
V = volume
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder:
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
A bag contains 5 blue marbles, 6 red marbles, and 4 green marbles. You select one marble at random from the bag. What is P(blue)?
Answer:
P(blue) = 1/3 (Answer)
Step-by-step explanation:
Probability for any event A is given by
p(A) = no of times of happening of event A/ total no of occurrence of all the event given under the situation.
____________________________________
A bag contains 5 blue marbles, 6 red marbles, and 4 green marbles
So, total no of occurrence of all the event given under the situation
one can either pick blue , red or 4 green marbles
Total no. of occurrence of all the event = 5 + 6 + 4 = 15
Now , no of occurrence of selecting blue.
since there are 5 blue marbles, there is chance of selecting blue is 5.
no of occurrence of selecting blue = 5
Therefore,
P(blue) = no of occurrence of selecting blue /total no of occurrence of picking any color ball
P(blue) = 5/15 = 1/3 (Answer)
The value of b when solving the equation 2 (6 + 12) = 16 is:
Answer:
Step-by-step explanation:
2(6+12)=16
2 X 6 + 2 X 12
12 + 24
26 = 16
HOPE U GE5T IT
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!
How do I solve this problem???
Answer:
[tex]25.1cm^3[/tex]
Step-by-step explanation:
[tex]V=\pi r^2h=\pi *2^2*2=25.13274\\=25.1cm^3[/tex]
what is an inverse statement
Answer:
1 | noun | a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc
2 | noun | a fact or assertion offered as evidence that something is true
3 | noun | (music) the presentation of a musical theme
4 | noun | a nonverbal message
5 | noun | the act of affirming or asserting or stating something
6 | noun | (computer science) a line of code written as part of a computer program
7 | noun | a document showing credits and debits
(7 meanings)
Write the equation for a line that passes through the point (2,5) and a slope of m =10 in point slope form
Answer:
y=10x-15
Step-by-step explanation:
with the points given you know x=2 and y=5
make a new point called (x,y)
now use the formula (y-5)/(x-2)=10 (10 being the gradient)
y-5 = 10(x-2)
y-5=10x-20
add 5 to both sides
y-5+5=10x-20+5
y=10x-15
Since we're given a point and a slope, we can write
the equation of this line using the point-slope formula.
The point-slope formula is shown at the top of the image below.
The given point, (2,5), represents (x1,y1).
Now plug in the information to get the equation below.
Now you can distribute the 10.
Then add 5 to both sides.
You will end up with the equation y = 10x - 15 as your answer.
Can someone please help me
Answer:
SSS
Step-by-step explanation:
3 sides are similar, so the triangles are similar.
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
Its A
Thats because if you draw it then you will find that the vertex is 8, -8
A,
(8, -8)
THANKS FOR GIVING BRAINLIEST
how would i solve this?
Answer: C
Step-by-step explanation:
The enequality includes x values equal to or greater than -2 and less than(but not equal to) 1.
so the possible integers would be -2 -1 0.
Identifying the Independent and Dependent Variable
The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c.
in dollars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.
The
v is the independent variable.
The
is the dependent variable.
Answer:
The number of miles traveled is the independent variable.
The amount of money spent is the dependent variable.
Step-by-step explanation:
They keyword here is "per". You are spending .6 dollars for every mile traveled
Answer:
C = dependent
M = independent
Step-by-step explanation:
Hopefully this helps you :)
pls mark brainlest. ;)
It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)
Answer:
$4.76
Step-by-step explanation:
It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.
We have to find 170% of the cost of making each sandwich ($2.80):
170/100 * 2.80 = $4.76
The sandwich sells for $4.76
Answer:
ben
Step-by-step explanation:
What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units
Complete Question:
The perimeter of triangle XYZ is 24 units. Triangle X Y Z is shown. The length of X Y is 3 and the length of Y Z is 11. Angle Y X Z is 102 degrees What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units
Answer:
14.7 square units
Step-by-step Explanation:
Given the triangle shown in the figure attached below, having the following measures:
<YXZ = 102°
Length of XY = z = 3
Length of YZ = x = 11
Length of XZ = y = ?
Perimeter of ∆XYZ = x+y+z = 24 units
Length XZ = y, would be 11+y+3 = 24
14+y = 24
y = 24 - 14
Therefore, y = 10
==>Required:
Area of ∆XYZ to the nearest tenth of a square unit
==>Solution:
Using the Trigonometric area formula, area of ∆XYZ = ½(yz)sin X
Plug in values for x, y, and sin X:
Area of ∆ XYZ = ½×10×3×sin 102
= ½×30×0.9782
= 15 × 0.9782
= 14.673
Area of triangle XYZ approximated to the nearest tenth = 14.7 square units
If the function f(x) = |x + 5| is transformed to g(x) = –|x + 5|, which type of transformation is seen in the graph?
Answer:
You would see the graph reflected over the x axis
Step-by-step explanation:
when there is a negative in front of the equation and not in the absolute value bars then it is a reflection over the x-axis...If there is a negative in front of the x in the absolute value bars then it is a reflection over the y-axis
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
I need assistance :D, Instructions: Using the image, find the distance between the points given on the graph.
Answer:
Step-by-step explanation:
You have to use the distance formula to find that distance. The formula is:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Let's call the first point x1, y1 (4, -1) and the second point x2, y2 (0, -2). Plugging into our formula then gives us this:
[tex]d=\sqrt{ (0-4)^2+(-2-(-1))^2}[/tex]
which simplifies to
[tex]d=\sqrt{(-4)^2+(-1)^2}[/tex] which is
[tex]d=\sqrt{17}[/tex] ≈ 4.123 units
The line AB had midpoint (2, 5).
A has coordinates (1, 2).
Find the coordinates of B.
Answer:
The line AB, with A(Ax, Ay), B(Bx, By) and midpoint M(Mx, My) satisfying:
Ax + Bx = 2Mx
Ay + By = 2My
=>
2 + Bx = 2*1
5 + By = 2*2
=> Bx = 0
=> By = -1
=> B(0, -1)
Hope this helps!
:)
Answer:
B(3, 8 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
let the coordinates of B = (x, y ), then
[tex]\frac{1}{2}[/tex](1 + x) = 2 ( multiply both sides by 2 )
1 + x = 4 ( subtract 1 from both sides )
x = 3
and
[tex]\frac{1}{2}[/tex] (2 + y) = 5 ( multiply both sides by 2 )
2 + y = 10 ( subtract 2 from both sides )
y = 8
Thus
coordinates of B = (3, 8 )
Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters. In parallelogram PQSR, what is PQ
Answer:
9 cm
Step-by-step explanation:
Since PQ and RS are opposite each other, then in a parallelogram, the lengths will be congruent.
Therefore 2x+5=4x+1
2x=4
x=2
If you plug x=2 into the the original equation, you get 9 cm.
The measure of PQ is 9 centimeters.
Important information:
In parallelogram [tex]PQSR, PQ=(2x+5),RS=(4x+1)[/tex]Parallelogram:The oppositie sides of a parallelogram are equal.
[tex]PQ=RS[/tex]
[tex]2x+5=4x+1[/tex]
[tex]5-1=4x-2x[/tex]
[tex]4=2x[/tex]
Divide both sides by 2.
[tex]2=x[/tex]
Now, find the measure of PQ.
[tex]PQ=2x+5[/tex]
[tex]PQ=2(2)+5[/tex]
[tex]PQ=4+5[/tex]
[tex]PQ=9[/tex]
Therefore, the measure of PQ is 9 centimeters.
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One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.
Answer:
5198.4 grams of sand
Step-by-step explanation:
The bottom cube:
12*12*13= 144*13= 1872
The top pyramid:
144*6= 864
1872+864= 2736 cubic cm
THEN
2736*1.9= 5198.4 g of sand!
Brainliest plsss
Answer:
5.586 kg
Step-by-step explanation:
2940 ×1.9= 5586 kg or 5586 g
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the mean of the points Javier scored? *
Answer:
13+20+13+15+24/5
85/5
=17
Answer:
17 points
Step-by-step explanation:
Mean = total scores/number of games
Mean = (13 + 20 + 13 + 15 + 24) / 5
Mean = 85 / 5
Mean = 17 points
What is the nth term rule of the quadratic sequence below?
6, 20, 40, 66, 98, 136,...
BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!
Answer:
B
Step-by-step explanation:
Descending order means that the exponents are in decreasing order and the polynomial ends with the constants. Therefore the answer is B.
Answer:
B.
Step-by-step explanation:
Arranged from largest to smallest
What is the value of cos(150°)?
OF
22
-
V3
2.
1500
30
-
Answer:
[tex]cos(150^o)=-\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Recall that the value of the cosine of an angle in the unit circle is the horizontal value (x-coordinate) read-out for the point on the circle's circumference that represents the given angle.
in this case, notice that [tex]150^o[/tex] corresponds to an angle in the second quadrant, and the actual coordinate values for it are given to you. therefore, use the value you read for the x-coordinate: [tex]-\frac{\sqrt{3} }{2}[/tex]
What is one value that is a solution t
o 4x+ .8>3.2 b
ut not -6 <-5x - 1
Answer:
x = 0.8
Step-by-step explanation:
What this question asks us is that what value of x solves the first inequality but does not work for the second
Let’s solve the first inequality;
4x > 3.2-0.8
4x > 2.4
x > 2.4/4
x > 0.6
Now all values of x which is greater than 0.6 is a solution to the first inequality
Now to the second, we have;
-6 > -5x -1
Using the range of values from the first inequality;
if we say x = 0.8
Then
-6 > -5(0.8) -1
-6 > -4-1
-6 > -5
But this is not right in the real sense as actually
-5 > -6
So we can confirm that 0.8 is a solution that works for the first inequality but doesn’t work for the second