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leva [86]
3 years ago
10

Which of the following is the shape of a cross-section of the figure shown below?

Mathematics
1 answer:
postnew [5]3 years ago
3 0

Answer:

B. Pentagon

Step-by-step explanation:

A cross-section is basically the 2D figure created by slicing through a 3D shape.

Take a look at this figure: it's a pentagonal prism. One note to remember is that for all prisms, their cross-sectional shapes are the same shapes as the shape of their bases.

Here, the two bases are pentagons, so we know the cross-section will be a pentagon.

Thus, the answer is B.

<em>~ an aesthetics lover</em>

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Sean earns $4.50 per hour more than his trainee, Tyrone. During one 8 hour day, they earn a total of $284. How much does Tyrone
LenKa [72]
I think it is 36 well to what ik :)
7 0
3 years ago
Read 2 more answers
7x + 2y = 7<br> -14x + 2y = -11<br> Solve by substitution
kvasek [131]

Answer:

x = 6/7, y = 1/2

Step-by-step explanation:

7x + 2y = 7

-14x + 2y = -11

1) 7x + 2y = 7

2y = 7 - 7x

2) -14x + 2y = -11

-14x + 7 - 7x = -11

- 21x = -11-7

- 21x = - 18

x = 18/21 = 6/7

3) 2y = 7 - 7x = 7 - 7*(6/7) = 7 - 6 = 1

2y = 1

y = 1/2

7 0
3 years ago
Dana’s parents add $2 to her savings account for every $20 she puts in the account.
a_sh-v [17]

Answer:

A) p = \frac{1}{10} d

Step-by-step explanation:

20(which is d) x \frac{1}{10} = 2 (which is p)

cross checking always helps!

7 0
2 years ago
Read 2 more answers
A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0
3 years ago
One of the factors of the polynomial x3 + 5x2 + 6x is (x2 + 3x). What is the other factor?
butalik [34]

Answer:

x+2

Step-by-step explanation:

Dividing the poly by the known factor:

x3+5x2+6x    <u>| x2+3x</u>

-x3-3x2             x + 2  <- the answer is here

      2x2+6x

      -2x2-6x

To prove that, let's multiply the two factors and find the pylonomial back on:

(x2+3x).(x+2) = x3 + 2x2 + 3x2 + 6x = x3 + 5x2 + 6x

Tks your attention!

8 0
3 years ago
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