Answer:
9 - 166.42m²
10 - 308.8cm²
Step-by-step explanation:
The first figure shown is a triangular prism
We can find the surface area using this formula
[tex]SA=bh+L(S_1+S_2+h)[/tex]
where
B = base length
H = height
L = length
S1 = base length
S2 = slant height ( base's hypotenuse )
The triangular prism has the following dimensions
Base Length = 4m
Height = 5.7m
Length = 8.6m
S1 = 4m
S2 = 7m
Having found the needed dimensions we plug them into the formula
SA = ( 4 * 5.7 ) + 8.6 ( 4 + 7 + 5.7 )
4 * 5.7 = 22.8
4 + 7 + 5.7 = 16.7
8.6 * 16.7 = 143.62
22.8 + 143.62 = 166.42
Hence the surface area of the triangular prism is 166.42m²
The second figure shown is a pyramid
The surface area of a pyramid can be found using this formula
[tex]SA = A+\frac{1}{2} ps[/tex]
Where
A = Area of base
p = perimeter of base
s = slant height
The base of the pyramid is a square so we can easily find the area of the base by multiplying the base length by itself
So A = 8 * 8
8 * 8 = 64
So the area of the base (A) is equal to 64 cm^2
The perimeter of the base can easily be found by multiplying the base length by 4
So p = 4 * 8
4 * 8 = 32 so p = 32
The slant height is already given (15.3 cm)
Now that we have found everything needed we plug in the values into the formula
SA = 64 + 1/2 32 * 15.3
1/2 * 32 = 16
16 * 15.3 = 244.8
244.8 + 64 = 308.8
Hence the surface area of the pyramid is 308.8cm²
Solve each equation mentally
Please help me I will mark...BRAINLIEST
I need volume and surface area
Answer:
1. V=60m³ SA=94m²
2. V=32m³ SA=88m²
3. V=2000mm³ SA=1000mm²
4. SA=376.8cm² V=552.64cm³
5. SA=1130.4cm² V=1356.48mm³
Step-by-step explanation:
1. Volume=5*4*3=60m³
Surface Area=2*(3*4)+2*(5*3)+2*(4*5)=24+30+40=94m²
2. Volume=8*4*1=32cm³
Surface Area=2*(8*1)+2*(8*4)+2*(4*1)=16+64+8=88cm²
3. Volume=10*10*20=2000mm³
Surface Area=2*(10*10)+2*(20*10)+2*(20*10)=200+400+400=1000mm²
4. SA of the cylinder=(2πr*h)+(2*πr²)=(2*(3.14)*4*11)+(2*3.14*16)
=(276.32)+(100.48)=376.8cm²
Volume=hπr²=11*(3.14)*16=552.64cm³
5. SA of cylinder=(2πr*h)+(2*πr²)=(2*(3.14)*12*3)+(2*3.14*144)
=(904.32)+(226.08)=1130.4mm²
Volume=hπr²=3*(3.14)*144=1356.48mm³
I NEED HELP ASAP!!!!!!
Answer:
I give bases example the triangle pyramid
Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?
Answer:
Step-by-step explanation:
Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?
please help me...please from the bottom of my heart
Answer:
I think No c
if wrong correct me pls
have a nice day
#Captainpower
Write a function for the graph.
Answer:
(x-4)^2 -4 = y
Step-by-step explanation:
The graph is translated 4 to the right and 4 downwards.
According to the latest real estate report from a suburban town, the mean number of home purchases during last quarter was 175 homes with a population standard deviation of 6 homes. A real estate agent believes that the recent increase of mortgage interest rates is causing a decline in home purchases. To test this, the real estate agent randomly selects 60 recent home purchases. What is the probability that the mean of this sample of home purchases is between 173 and 174 homes
Answer:
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(173≤X≤174) = 0.0936
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 175
Given that the standard deviation of the Population = 6
Let 'x⁻' be the mean of the random sample
Given that x₁⁻ = 173
[tex]Z_{1} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{173-175}{\frac{6}{\sqrt{60} } } =-2.58[/tex]
Given that x₂⁻ = 174
[tex]Z_{2} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{174-175}{\frac{6}{\sqrt{60} } } = -1.29[/tex]
Step(ii):-
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(X₁≤X≤X₂) = P(Z₁≤Z≤Z₂)
= P(Z≤Z₂) - P(Z≤Z₂) ( both values 'Z' values are negative)
= 0.5 -A(Z₁) - (0.5 -A(Z₂))
= |A(Z₂) -A(Z₁)|
P(173≤X≤174) = | A(2.58)-A(1.29)|
= 0.4951 - 0.4015 (∵ from normal table)
= 0.0936
Final answer:-
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(173≤X≤174) = 0.0936
Which expression is equivalent to 16 + 2 * 36?
Answer: F 2^4+2^3 .3^2
Step-by-step explanation:
16+2*36
2^4+72
2^4+2^3 .3^2
here 2^3=8
and 3^2=9
so 8*9=72
i need the prosces plis is for tomorrow
Answer:
p) = 17/30 or 0.56
q) = 191/60 or 3 11/60
Abir walks four twelfths of a mile to school. Nadia walks two twelfths of a mile to school. How much farther does Abir walk than Nadia?
Answer:
SHe has walked 2 more miles more than the other person
Step-by-step explanation:
Round to the nearest tenth
8.94427191
Answer:
8.9
Step-by-step explanation:
8.94427191
Answer:
8.9
Step-by-step explanation:
8.94427191 the number 1 spot to the right of the decimal point is tenths. the number is 9 the number to the right of that is 4. unless that number 2 digits to the right of the decimal point is 5 or over the 9 stays the same
GIVING BRAINLIEST PLEASE DUE TODAY
A. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour.
Write an equation for the cost, C, after h hours of babysitting.
B. How much money will she make if she babysits for 5 hours?
C. If Nicole earned $48.00, how many hours did she babysit?
Este año en la escuela de inglés, el numero de usuarios de intagram ha alcanzado la cifra de 2604 alumnos, lo que supone un aumento del 24% respecto del año pasado. ¿ cuantos usuarios habia el año pasado?
Answer:
the number of users in the last year is 2,100
Step-by-step explanation:
The computation of the number of users in the last year is shown below:
Given that
The users are 2604 that are increased to 24% as compared with the last year
So, the users in the last year is
= 2604 ×100 ÷ 124
= 2,100
Hence, the number of users in the last year is 2,100
Answer:
688
Step-by-step explanation:
ithink
Can you give me the answer to this
Answer:
C. a translation of 1 unit right and 2 units up, followed by a dilation by a factor of 3
Step-by-step explanation:
Question: The mean birth weight of male babies born to 121 mothers taking a vitamin supplement is 3.67 kilograms (based on New York department of health data). The national average birth weight of male babies 3.39 kilograms.
Discuss the significance of the sample observation given that the probability of observing such a .sample estimated to be 0.0015
Answer:
The significance of the sample is that at it is statistically significant at 0.01 level ( i.e. of observing the sample < 0.01 )
Step-by-step explanation:
The sample observation which is 121 mothers that take vitamin supplements have male babies with mean weight of : 3.67 kg
while the National average birth weight = 3.39 kg
probability of observing such a sample = 0.0015
Hence the significance of the sample is that at it is statistically significant at 0.01 level ( i.e. of observing the sample < 0.01 )
I need the answer quickly!
Please and Thank you!
Answer:
Option A
Step-by-step explanation:
Given expression = [tex] \frac{ - 1}{2} [/tex]
Lets multiply both numerator and denominator by -1.
[tex] = > \frac{ - 1 \times - 1}{2 \times - 1} [/tex]
[tex] = > \frac{1}{ - 2} [/tex]
Hence , Option A is the correct answer.
HELP ASAP!!! find the lines of symmetry. Select all that apply
Answer:
B. and D.
Step-by-step explanation:
If you folded that shape along the lines o and m, it would match up.
There are two lines of symmetry m and o. Options B and D are correct.
From the given figure we have to determine the axes of symmetries.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
As of the given figure,
There are 2 axes of symmetry first line m and the other is line o.
Line l and line n are not symmetrical lines because the reflection of one portion will not be superimposed with the other.
Thus, there are two lines of symmetry m and o. Options B and D are correct.
learn more about lines here:
brainly.com/question/2696693
#SPJ2
What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
O (4.18)
O (0,-2)
O (-8,-2)
0 (4-18)
Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) = [tex]ax^{2} +bx +c[/tex]
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) = [tex]x^{2} +8x - 2[/tex] a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = ([tex]-4^{2}[/tex]) + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases
Answer:
Option D, (-4,-18)
Step-by-step explanation:
got it right on edge
How do you expand (4x+2)2
Answer:
=8x+4
Step-by-step explanation:
=2(4x+2)
a=2,b=4x,c=2
=2 x 4x + 2 x 2
Simplify- 2 x 4x + 2 x 2: 8x + 4
Use the box method to distribute and simplify (2 + 1)(2x - 3). Drag and drop the
terms to the correct locations of the table.
Answer:
2x^2-x-3
(2x)(-3)
(x)
(1)
Step-by-step explanation:
Distribute
(2x^2) (-3x)
(2x) (-3)
The following chart shows a store?s records of sales of stuffed toys for two months. 2 circle graphs. A circle graph titled September. Teddy bears is 346, rabbits is 297, cats is 199, horses is 245, other is 225. A circle graph titled October. Teddy bears is 308, rabbits is 260, cats is 285, horses is 186, 275 is other. Which of the following are accurate assessments of trends displayed in this graph? I. Sales of teddy bears decreased by about 2.9% between September and October. II. The change in sales of rabbits is roughly equal to the change in sales of all toys. III. Roughly 24.1% fewer horses were sold in October than in September. a. I and II b. II only c. I and III d. III only
Answer:
d
Step-by-step explanation:
..........
Answer:
d
Step-by-step explanation:
e d g e
A sphere has a radius of 9 feet. A second sphere has a radius of 6 feet. What is the difference of the volumes of the spheres? The volume of the larger sphere is π cubic feet greater than the volume of the smaller sphere.
Answer:
684 π
Step-by-step explanation:
volume of a sphere = (4/3) x (n) x (r^3)
n = 22/7
r = radius
volume of larger sphere
4/3 x n x 9³ = 972 n
4/3 x n x 6³ =288n
972n - 288n = 684n
Find the slope of the line:
6) The cost of a computer system increases with increased processor speeds. The cost C
of a system as a function of processor speed is estimated as C = 1234 - 35 + 1900,
where S is the processor speed in MHz. Find the processor speed for which cost is at a
minimum. [4 marks]
Answer:
The speed is: 0.0142MHz
Step-by-step explanation:
Given
[tex]C(s) = 1234s^2 - 35s + 1900[/tex]
Required
The processor speed when the cost is at minimum
First, differentiate C(s) with respect to s
[tex]C(s) = 1234s^2 - 35s + 1900[/tex]
[tex]C'(s) = 2468s - 35[/tex]
The cost is at minimum when [tex]C'(s) = 0[/tex]
So, we have:
[tex]C' = 2468s - 35 = 0[/tex]
[tex]2468s - 35 = 0[/tex]
Solve for s
[tex]2468s = 35[/tex]
[tex]s=\frac{35}{2468}[/tex]
[tex]s\approx0.0142[/tex]
Can somebody plz help answer these questions correctly (only if u know how to do them) thx sm! :3
WILL MARK BRAINLIEST WHOEVER ANASWERS FIRST :DDDD
Answer:
s= 100
r= 130
x= 38
y= 30
Step-by-step explanation:
HELP
4(x-2+y)=???????
Answer:
4+4−8
Step-by-step explanation:
How do you find the value of x while working with adjacent and vertical angles? The angle is adjacent btw if that helps... I am in 7th grade and need help with this topic
Answer:
The angles are adjacent because they have a common side and vertex. Basically, they are both right next to each other.
x = 28
Step-by-step explanation:
When (x + 6)° and 56° are added together, they need to equal 90° since they are both parts of a right angle.
(x + 6) + 56 = 90
x + 62 = 90
x = 28
Which is the correct equation for x:y=8:1
See picture attached.
Answer:
Step-by-step explanation:
Means of means = means of extremes 8y = x
x = 8y
Option B is the correct answer
Solve: x - (-6) = -2
Answer: = -8
Step-by-step explanation: Your welcome!
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag.
How many desired outcomes should Denato use in his probability calculation?
Answer: its 22
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
The number of desired outcomes is the total number of blue pens in the bag. There are seven outcomes that can be blue.