4. A carpenter is building a unique jewelry box in the shape of a triangular prism. How much wood will it take to complete the project? 9.5 m 10m 16 m 6 m​

Answer:

26.5

Step-by-step explanation:

The table shows that 1/2 of all the students surveyed have one pet.

[tex]53 \times \frac{1}{2} = 26.5[/tex]

Answer:

y=4x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-2)/(1-0)

m=4/1

m=4

y-y1=m(x-x1)

y-2=4(x-0)

y-2=4x

y=4x+2

Answer:

118 cm

Step-by-step explanation:

13 x 11 = 143

5 x 5 = 25

143 - 25 = 118

Answer:

The expansion of a metre stick (also known as meter stick) in the Sun will affect the meters stick accuracy by reducing the values of the actual length of the dimensions measured with the meter stick

The linear expansion, ΔL, of the meter stick is given according to the following formula;

ΔL = ∝·L₀·ΔT

Where;

ΔL = The expansion (change in length) of the meter stick

∝ =  The coefficient of linear expansion for the meter stick

L₀ = The initial length of the meter stick = 1 meter

ΔT = The temperature change of the meter stick

Due to the small value of ∝ for a meter stick, the change in length of the meter stick is small but the difference will affect the accuracy of the measurements made by the meter stick and the length of an item with actual length of 1 meter can be given by the expanded meter stick as 99 cm  

Step-by-step explanation:

Answer:

[tex] \huge \boxed{ \boxed{ \red{x = - 7}}}[/tex]

Step-by-step explanation:

Step-by-step explanation:

Solution given;

[tex] \frac{3}{4} (x + 21) = 10 \frac{1}{2 } \\ 3x + 63 = \frac{21}{2} \times 4 \\ 3x = 42 - 63 \\ x = \frac{ - 21}{3} \\ x = - 7[/tex]

:.x=-7 is your answer.

Answer:

44.9

Step-by-step explanation:

Step-by-step explanation:

We are given this function:

y=8700* (1.04)^{4}y=8700∗(1.04)

4

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4%

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

1.04^{4} = 1,169858561.04

4

=1,16985856

1,16985856 * 100% ≈ 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%

We are given this function:

y=8700* (1.04)^{4}y=8700∗(1.04)

4

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

1.04^{4} = 1,169858561.04

4

=1,16985856

1,16985856 * 100% ≈ 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%

Answer:

a

Step-by-step explanation: I am 99% sure

Answer:

25

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

The little square at the bottom of the figure means that that angle is a right angle, or 90°. Knowing that it's a 90° angle and that one section of the adjacent angle is 63°, we just calculate 90-63 to get 27, the value of x.

Answer:

its either a or b not entirely sure on which

Step-by-step explanation:

the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps

Answer:

236.5

Step-by-step explanation:

Sorry if it looks messy, I messed up in the middle!

Answer:

total pay in 4 weeks is $ 1960.00

$ 12.25 per hour

Step-by-step explanation:

5 x 165= $ 825

6 x 110= $ 660

5 x 95= $ 475

____________

           $ 1960.00 dollars divided by 160 = 12.25

1960/ 160= 12.25

Answer:

0.1-0.2 is a change of 100% as it is doubled.

Answer:

45 ways

Step-by-step explanation:

The number of ways the committee of 2 can be selected from  a group of 10 may be found using the combination theory.

10 C 2

Recall that n C r = n!/(n-r)!r!

Hence

10 C 2 = 10!/(10 -2)!2!

= 10!/8!*2!

= 10 *9 *8!/8!* 2!

= 10 *9/2 * 1

= 90/2

= 45

Answer:

45

Step-by-step explanation:

got it right on test

Answer:

x = 2

Step-by-step explanation:

x * 3 = 6 → is your equation to solve for x

x = [tex]\frac{6}{3}[/tex]

x = 2

Answer:

22

Step-by-step explanation:

Hey There!

So if you didn't know angle H is a right angle. So we are given two angles and they want us to find the missing angle

Remember all of the angles of a triangle add up to equal 180

so we subtract the given angles from 180 to find the missing angle

180-90-68=22

so we can conclude that angle G = 22

Answer:

Step-by-step explanation:

Because a and b are both opposite 45 degree angles, a=b. Using the Pythagorean Theorem we can say.

[tex]2a^2=28^2\\ \\ 2a^2=784\\ \\ a^2=\frac{784}{2}\\ \\ a=\sqrt{\frac{784}{2}}\\ \\ a=\frac{28}{\sqrt{2}}[/tex]

9514 1404 393

Answer:

  a = b = 28/√2

Step-by-step explanation:

The ratios of side lengths in an isosceles right triangle are ...

  1 : 1 : √2 = a : b : 28

If we multiply the first ratio numbers by 28/√2, we get ...

  1 : 1 : √2 = (28/√2) : (28/√2) : 28

That is, ...

  a = b = 28/√2

_____

Alternate solution

Once you realize the triangle is isosceles, so that a=b, then you can use the Pythagorean theorem.

  a^2 + a^2 = 28^2

  2a^2 = 28^2 . . . . . . simplify

  a√2 = 28 . . . . .  take the positive square root

  a = b = 28/√2

Answer:

Step-by-step explanation:

5m - 2n = 4

 m - 4n = -1     add 4n to both sides   m - 4n + 4n = 4n - 1  

 m = 4n - 1      now substitute for m into the first equation

5(4n -1) - 2n = 4

20n - 5 - 2n = 4           combine the n coeffients  and add 5 to both sides

18n - 5  = 4 + 5

18n  = 9      solve for n      by dividing 18 by both sides

 18 n/18   =  9 /18

      n   =    1/2      now find for m using  m = 4n - 1    m = 4(1/2) - 1   m = 2 -1  = 1

      m  =   1          (1, 1/2)  solves the two equations

3x + 5y = 11      equation 1    

2x - y = 3​          multiply both sides by 5 so when you add the two equation

                         the y term is eliminated  (becomes zero)

5(2x-y) = 5(3)

10x - 5y = 15    equation 2      add equation 1 and equation 2

3x + 5y = 11     add the like terms

10x - 5y = 15    add the like terms

(3x + 10x) + (5y - 5y) = (11 + 15)

   13x        +     0       =    26               the y tern is gone   now solve for x      

   13x = 26

    13x/13  = 26/13

     x = 2                        now find y    using  2x - y = 3

   2x - y = 3         add y and subtract 3 from both sides

   2x - y + (y - 3)  =  3 + (y - 3)

   2x - 3 = y         we already know x = 2

   2(2) - 3 = y

     4 - 3 = y

        1  = y           answer (2,1)   solves the two equaitons

Answer:

x = 2/3

Step-by-step explanation:

I could not type the answer out but I took a picture of it.

Hope this helps you!

-15<3n<-6 ÷3 → -5<n<-2

n = -4 , -3

Answer:

x= 0, 2, -1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Hey There!

When it ask for the scale factor its asking for what did you have to multiply the side length by of figure a to get the similar side length of figure b

for example in figure A the base length is 7

to get the the base length of figure B (14) they multiplied the base length of figure A by 2

7x2=14

therefore the scale factor is 2

Answer:

25 + 11 hope this helps

Step-by-step explanation:

answer is the third one