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2 years ago

The area of triangle scarf is 21 square inches.

Mathematics

1 answer:

Scrat [10]2 years ago

5 0

the base of the scarf is 7

Step-by-step explanation:

B=2(A/H)

B=2×21÷6=7

2×21=42

42÷6=7

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In the figure, ΔABC ∼ ΔDEF. Solve for x. (5 points)

frosja888 [35]

6 : 24 x : 20 Cross multiply.

3 0

2 years ago

A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is

kirza4 [7]

Answer:

The answer is b. 343,480.8ft

Step-by-step explanation:

I thought it was c at first because I forgot to add the volume of the cone.

The equation for the volume of a cylinder is V=π×r²×h

The solution would look like V=π40²×65=326725.8

The equation for the volume of a cone is V=1/3πr²×h

The solution would look like V=1/3π×40²×10=16755

Adding the two volumes would equal 326725.8±16755= 343480.8

5 0

2 years ago

Please answer this question

zimovet [89]

Answer:

The answer is 030

Step-by-step explanation:

I am unable to transmit my working but don't forget to write the bearing as 030 not 30

6 0

2 years ago

Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation

Vaselesa [24]

Answer:

$\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}$

Step-by-step explanation:

The circumference of a circle with radius $r$ is given by $C=2\pi r$ . The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle $\theta^{\circ}$ is equal to $2\pi r\cdot \frac{\theta}{360}$ .

Formulas at a glance:

Circumference of a circle with radius $r$ : $C=2\pi r$
Length of an arc with central angle $\theta^{\circ}$ : $\ell_{arc}=2\pi r\cdot \frac{\theta}{360}$

Question 1:

The radius of the circle is 12 m. Therefore, the circumference is:

$C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}$

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

$\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}$

Question 2:

In the circle shown, the radius is marked as 2 miles. Substituting $r=2$ into our circumference formula, we get:

$C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}$

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

$\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}$

8 0

2 years ago

Point P'P

Snowcat [4.5K]

Given:

The point P' is the image of the point P under the translation $(x,y) \implies (x-6, y-1)$

The coordinates of the point P are (6,0)

We need to determine the coordinates of the point P'

Coordinates of the point P':

The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.

Thus, substituting the coordinates, we have;

$(6,0)\implies (6-6,0-1)$

Simplifying the coordinates, we get;

$(6,0)\implies (0,-1)$

Thus, the coordinates of the point P' is (0,-1)

5 0

3 years ago