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snow_tiger [21]
2 years ago
12

Can someone help me asap please

Mathematics
1 answer:
Gekata [30.6K]2 years ago
6 0

Answer:

The first one is D

The second one is A

hope this helps :/

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Craign has a building block in the shape of a rectangular pyramid .A net of which is shown below.If a measures 12 cm b measures
svetoff [14.1K]

Answer:

<h3>Option  D) 294 sq cm is correct</h3><h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3>

Step-by-step explanation:

First we have to split the net into 4 triangles and 1 rectangle

Given a = 12 cm ,b =  6 cm and d = 13 cm

<h3>To find the surface area of the rectangular pyramid:</h3>

Now find the area of the rectangle base

Rectangle base area=b\times a

= 6\times 12

= 72 sq. cm

<h3>∴ Rectangle base area=72 sq cm</h3>

Now to find the area of the triangle on the left

Left triangle=\frac{1}{2}(b)(d)

=\frac{1}{2}(6)(13)

= 39 sq cm

<h3>∴ Left triangle=39 sq cm</h3>

Since all the triangles are congruent , you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left and right triangles= 2(39)

=78 sq cm

<h3>∴ Area of left and right triangles=78 sq cm</h3>

Find the area of the triangle on the bottom

Bottom triangle area=\frac{1}{2}(a)(a)

=\frac{1}{2}(12)(12)

= 72 sq cm

<h3>∴ Bottom triangle area=72 sq cm</h3>

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles=2 (72)

= 144 sq cm

<h3>∴ Area of top & bottom triangles= 144 sq cm</h3>

Finally add the area of the 4 triangles to the area of the rectangular base we get

=72 + 78 + 144

= 294 sq cm

<h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3><h3>∴ option D) 294 sq cm is correct.</h3>
7 0
3 years ago
At the beginning of the day, Meredith has 85.4 pounds of apple to sell at the farmers market. The table shows the change in the
fredd [130]

the answer is I think -10.2

6 0
3 years ago
The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi
Andru [333]

we can use formula

\theta=tan^{-1}(\frac{a_y}{a_x})

(a)

we are given

a_x=12,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{12})

\theta=tan^{-1}(1)

\theta=\frac{\pi}{4}rad

(b)

we are given

a_x=20,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{20})

\theta=tan^{-1}(\frac{3}{5})

\theta=30.96^{\circ \:}

(c)

we are given

a_x=12,a_y=20

now, we can plug values

\theta=tan^{-1}(\frac{20}{12})

\theta=tan^{-1}(\frac{5}{3})

\theta=59.03^{\circ \:}


6 0
2 years ago
5. Ana's age is twice the age of Lorna. If the sum of their ages is no more than 72, find the age of
ExtremeBDS [4]

Answer:

Ana:48

Lorna:24

Together they are a total of 72 yrs old

4 0
3 years ago
Read 2 more answers
What is 5/16 expressed as a percent? Enter your answer in the box.
Paraphin [41]

5/16 as a decimals.  Divide 5 by 16 = 0.3125 times 100 = 31.25%


8 0
3 years ago
Read 2 more answers
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