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2 years ago

Can someone please explain how I apply SOHCAHTOA properly to this?

Mathematics

2 answers:

saul85 [17]2 years ago

7 0

It is e I am pretty sure

liq [111]2 years ago

4 0

Answer:

Step-by-step explanation:

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Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

Name a diameter for the circle.<br> •DG<br> •EF<br> •DH<br> •FH

Sonbull [250]

It would be FH
A diameter is basically the length of the line through the centre that touches 2 points on a circles edges

4 0

3 years ago

During an outbreak of the flu, a hospital recorded 24 cases the first week, 84 cases the second week, and 294 cases the third we

Ksenya-84 [330]

Take the # in the last week and times it by 3.5 than you should get the next week. ex: if you wanted to find the 9th week you could do 84 times 3.5 8 times

8 0

3 years ago

Read 2 more answers

A building casts a shadow 48 feet long . At the same time a 40 foot tall flag pole casts a shadow 9.6 feet long . What is the fi

tankabanditka [31]

Ratio of height of the flag pole to the length of its shadow = 40:9.6 = 25:6
Ratio of height of the building to the length of its shadow = x:48 = 25:6
x/48 = 25/6
x = (48 x 25)/6 = 1200/6 = 200

Therefore, the height of the building is 200 feet.

6 0

3 years ago

Draw a model of square root of 12 using perfect squares

Shkiper50 [21]

Answer:

The answer is " $\sqrt{12}$ is not a perfect square".

Step-by-step explanation:

12 is not a perfect square because it is the natural number, and no other natural number would square the number 12, that's why it is not a perfect square.

If we calculate the square root of $\sqrt{12}$ . so, it is will give $2\sqrt{3}$ that is not a perfect square root which can be described as follows:

$\Rightarrow \sqrt{12}= \sqrt{2\times 2\times 3}$

$= \sqrt{2^2\times 3}\\\\= 2\sqrt{3}\\\\$

$\bold{\sqrt{12}}$ is not a perfect square root.

7 0

3 years ago

Read 2 more answers