To find the surface area, Brad splits the figure into two pieces, the rectangular prism and
the triangular prism.
He finds the total surface area of the rectangular prism by finding the area of each face
to get 1,104 cm
He then finds the total surface area of the triangular prism by finding the area of each
face to get 1,008 cm
Finally, he adds the surface areas together to get 2,112 cm.
Is Brad's solution correct? Why or why not?
Select the option that correctly answers both questions.
No, he did not find the correct total surface area for the triangular prism.
O No, he did not find the correct total surface area for the rectangular prism.
No, he needs to subtract the areas of the faces where the two prisms are
attached
Yes, he correctly found the sum of the surface areas for each prism.

Answer:

28.3

Step-by-step explanation:

tan = opposite/adjacent

tan (58) = 1,600335

opposite = tan * adjacent  

opposite = 1,600335 * 15 = 24,005018

For the Pytagorean theorem

x = √24,005018^2 + 15^2 = 28,306199 = 28.3

Answer:

10 men

Step-by-step explanation:

This is because men are inversly proportionate to days.

The more the days the lesser the men and bise versa.

This means 180 men can do a painting in one day and 10 men can do the painting in 18 days.

Answer:  D) 8

Work Shown:

32/24 = 2x/12

32*12 = 24*2x

384 = 48x

48x = 384

x = 384/48

x = 8

The correct option is Option D: the value of x is 8

The triangles whose corresponding angles are equal and the corresponding sides are in equal proportiion are called similar triangles.

If two triangles are similar

then a₁/a₂=b₁/b₂=c₁/c₂

where a₁, b₁, and c₁ are the sides of one triangle

a₂, b₂, and c₂ are the sides of another triangle

Here it is given that

triangles ΔJLK and ΔRJS are similar.

so by the property of similar triangles,

JR/JL = JS/JK = RS/KL

Given that JR=24

JL=32

JS=12

JK=2x

By using the property

JR/JL = JS/JK

⇒ 24/32 = 12/2x

⇒2x= 12*32/24

⇒2x=16

⇒x=16/2

⇒x=8

Therefore the value of x is 8.

Learn more about similar triangles

here: https://brainly.com/question/14285697

#SPJ2

question 3

Step-by-step explanation:

i only able to show you the step of question 3..so sorry

Answer:

the answer is 3.81

but rounding it it will be 3.8 meters

Step-by-step explanation:

Pythagorean theorem says

a²+b²=c²

so,

take take the Lowest measurement as a² which will be 7 and take 8 as the hypotenuse or the longest side which is c²

then put it all together you get

7²+x²=8²

we made b as x because we will be finding b

then substitute the values

x²=8²-7²

x²=64-49

x²=15

to remove that square from the x you then put square root in both

✓x²=✓15

press in the calculator, root of 15 will be about 3.81

now we got

x=3.81

x is the missing measurement

Step-by-step explanation:

the number which has the highest value as8 is

6586.34

Answer:

I doubt it is not going to be a great

Step-by-step explanation:

the same time as a child support of the year old girl I don't know what you think about it is not going to

Answer:

yes I think 6 is correct.

Answer:

x = 105.41

Step-by-step explanation:

24•log(3x) = 60

Divide by 24

log (3x) = 60/24

log (3x) = 5/2

Raise each side to the power of 10

10 ^ log (3x) = 10^5/2

3x= 10 ^5/2

Divide by 3

3x/3 = 1/3   * 10 ^ 5/2

x = 1/3 (100 sqrt(10))

x=105.40925

To two decimal places

x = 105.41

Answer:

339 units

Step-by-step explanation:

You simply multiply the perimeter of the original rectangle by three to get the perimeter of the new rectangle.

Answer:

98

Step-by-step explanation:

Simon

C = 4n + 1

Shania

C = 3n + 4 + n -3

C = 4n + 1

Tate

C = (6n + 1) + (-2n)

C = 6n + 1 - 2n

C = 4n + 1

Navdeep

C = 2(2n + 3) -5

C = 4n + 6 - 5

C = 4n + 1

Therefore all of them are equivalent.

Answered by Gauthmath must click thanks and mark brainliest

Answer:

ES LA NUME  C                                        R

Step-by-step explanation:

Answer:

Let x= the ones digit

Then x+5=the tens digit

Hence the equation is: 10(x+5)+x=x+5+x+63

10(x+5)+x=x+5+x+63

10x+50+x=2x+68

11x+50=2x+68

-2x-50  -2x-50

---------------------

       9x=18  Divide both sides of the equation by 9

         x=2

Hence the number is 10(2+5)+2=10(7)+2=70+2=72.

a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many pupils does the school have ?

Let the number of boys be x

Data :

Total pupils = 2500

Absent no. of boys and girls = 52 and 1/9

Now,

Remaining no of pupils = 2500 - 52 ➝ 2448

Hence, the no. of girls absent = 1/9 of 2448 ➝ 272

Therefore,

Total no. of pupils absent = 52 + 272 ➝ 324

No. of pupils present = 2500 - 324 ➝ 2176

Henceforth, 2176 pupils are present

Answer:

-4x^3 - 4y^2

Step-by-step explanation:

-5y^2 + 5 - 4 - 4y^2 + 5y^2 - 4x^3 - 1

= -4x^3 -4y^2

Answer:

Cos A = Adjacent / hypochondrium

Cos A= 9/ 41

Answer:

36

Step-by-step explanation:

pi (3) x 1^2 x 12 = 3 x 12 = 36

Answer:

(55/38,-16/19)

Step-by-step explanation:

4x -5y = 10

2x + 7y = -3

4x -5y = 10

-4x -14y = 6

-19y = 16

y = -16/19

2x  -112/19 = -57/19

x = 55/38

Answer:

-5.82

Possible by long devison and the rule that if there is one negitive then the answer is negitive

Answer:

y intercept ( 0, 0.4)

x intercept ( 0.3, 0)

Step-by-step explanation:

The y intercept is where is crosses the y axis and the x value is zero

(0, 0.4)

The x intercept is where is crosses the x axis and the y value is zero

(0.3,0)

Answer:

s(2) = 17 cm

Step-by-step explanation:

We are told that the velocity function is;

v(t) = 6t² + 4t − 5 cm/sec

Integral of velocity gives distance.

Thus;

s(t) = ∫v(t) = ∫6t² + 4t − 5

s(t) = 2t³ + 2t² - 5t + c

We are told that s(0)=3 cm

Thus;

s(0) = 2(0)³ + 2(0)² - 5(0) + c = 3

Thus; c = 3

Thus;

s(t) = 2t³ + 2t² - 5t + 3

At t = 2 secs

s(2) = 2(2)³ + 2(2)² - 5(2) + 3

s(2) = 17 cm

Answer:

x = -3/2 or x= sqareroot41/2

Step-by-step explanation:

Answer:

C. Eating bagels instead of eating doughnuts provides no real health benefits.

Step-by-step explanation:

There is no such difference in health benefit due to eating bagels or doughnuts. The bagel eaters are not necessarily doughnut eaters. The calories in bagels is 500 cal per bagel while the calories in doughnuts is 680cal for every 4 doughnuts intake.

Answer: [tex]\Large \boldsymbol{} (x-y-z+1)(x+y-z-1)[/tex]

Step-by-step explanation:

[tex]\Large \boldsymbol{} 1) \ {(a-b)^2=a^2+2ab+b^2 } \\\\2) \ {a^2-b^2=(a-b)(a+b)} \\\\\\ x^2-y^2+z^2-2xz+2y-1= \\\\\underbrace{x^2-2xz+z^2}_{(x-z)^2} -\underbrace{(y^2-2y+1)}_{(y-1)^2}= \\\\\\ (x-z)^2-(y-1)^2 =(x-y-z+1)(x+y-z-1)[/tex]

Answer:

The slope is (1/4)

Step-by-step explanation:

Slope is calculated for the points (5,6) and (1,5). Slope is (6-5)/(5-1)=1/4

Answer: m = 10/3

Step-by-step explanation:

(0.3, 1) (0.6, 2)

(2-1)/(0.6-0.3)=

1/0.3 = 10/3

Answer:

i think yes!!!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes, you did this correctly.

By subtracting the volume of the cylinder from the volume of the rectangular solid, you accurately acquired the volume of the remaining figure.

And yes, your calculations are correct.

Answer:

[tex]\frac{9+5\sqrt6}{23}[/tex]

Step-by-step explanation:

We can rewrite the fraction as

[tex]\frac{2\sqrt{3}+3\sqrt{2}}{4\sqrt{3}+\sqrt{2}}[/tex]

In order to rationalize the denominator of such a complex fraction, we must multiply the fraction by the conjugate of the denominator. In this case, the conjugate of the denominator would be [tex]4\sqrt{3}-\sqrt{2}[/tex]. Multiplying both sides of the fraction by the conjugate of the denominator would result in the fraction:

[tex]\frac{9+5\sqrt6}{23}[/tex]

Answer:

<1 = 64

Step-by-step explanation:

The exterior angle is equal to the sum of  the opposite interior angles for triangles

40  +<1 = 104

Subtract 40 from each side

<1 = 104 -40

<1 = 64