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2 years ago

Can someone help me with this

Mathematics

1 answer:

STatiana [176]2 years ago

3 0

Answer:

Step-by-step explanation:

Plot the center point, C.

angle APC = 68/2 = 34°

angle ACP = 90°-34° = 56°

Arc AB subtends a central angle of 2×56° = 112°

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Someone help!!!!! ASAP

Mumz [18]

Answer: 31.25 cm^2

Step by Step Explination: I just went onto Google and typed in "surface area of a pyramid formula," and then entered the given values, and the given length and width are equal.

Hope this helps!

5 0

3 years ago

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving th

BaLLatris [955]

For this case, what we must do is find the distance between each ordered pair.
For this, we use the formula of distance between points.
We have then:
$d = \sqrt{(x2-x1)^2+(y2-y1)^2}$

For (0, 0) and (0, 7):
$d1=\sqrt{(0-0)^2+(7-0)^2}$
$d1=\sqrt{(0)^2+(7)^2}$
$d1=\sqrt{0+49}$
$d1=\sqrt{49}$
$d1=7$

For (0, 7) and (5, 7):
$d2=\sqrt{(5-0)^2+(7-7)^2}$
$d2=\sqrt{(5)^2+(0)^2}$
$d2=\sqrt{25+0}$
$d2=\sqrt{25}$
$d2=5$

For (5, 7) and (5, 0):
$d3=\sqrt{(5-5)^2+(7-0)^2}$
$d3=\sqrt{(0)^2+(7)^2}$
$d3=\sqrt{0+49}$
$d3=\sqrt{49}$
$d3=7$

before returning home the total distance is:
$d1 + d2 + d3 = 7 + 5 + 7

d1 + d2 + d3 = 19$

Answer:
before returning home Tommy walks about 19 blocks

5 0

3 years ago

Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape

jenyasd209 [6]

Answer:

C. About 75 in²; Aubrey found the surface area of the cone and included the base.

Step-by-step explanation:

In the questions above we were given the following:

Cone with

Diameter(D) = 6 inches

Slant height (l) = 8 inches.

Aubrey made an error in her calculation.

She found the Total Surface area of the cone using the formula:

Total Surface Area of a cone = πrl + πr²

= πr(l + r)

The Total surface area of a cone is the calculated as Sum of the curved surface area of a cone and the base of the cone.

Where:

Curved surface area of the cone is calculated as = πrl

Base of a cone is calculated as = πr²

Where r = radius of the cone

l = slant height of the cone

In the question, we were given

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Surface area = 3.14 × 3(8+3)

= 9.42 × 11

Surface area = 103.62 in²

Approximately to the nearest inch = 104 in² or 104 square inches.

But this answer is WRONG.

The RIGHT FORMULA Aubrey should have used is

Curved Surface Area or the Lateral Area of a Cone = πrL

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Curved Surface Area of a Cone = πrL

= 3.14 × 3 inches × 8 inches

= 75.36 square inches or 75.36in²

Approximately to the nearest inch = 75 square inches or 75 in².

This is the correct answer.

The error Aubrey made was she calculated the Total surface area of the cone which includes the base of the cone instead of calculating the curved surface area of the cone only.

Hence, from the above calculation , we can see that Option C "About 75 in²; Aubrey found the surface area of the cone and included the base" is the correct option.

5 0

2 years ago

Helppppp thanksssssssss

klemol [59]

The 3rd or 1st one I'm not sure which one but u have an idea of what it might be

4 0

3 years ago

Need to find the direction angle for each vector. #10 and #12 please!

crimeas [40]

Answer:

10) - 45 degrees

12) 0 degrees

Step-by-step explanation:

10)

Find the x and y components that define the vector that joins C with D:

x-component: -4 - (-8) = - 4 + 8 = 4

y-component: 4 - 8 = -4

use the tangent function to find the angle $\theta$ :

$tan(\theta)=\frac{y-comp}{x-comp}=\frac{-4}{4} = -1\\\theta = -45^o$

12)

Find the x and y components that define the vector that joins A with B:

x-component: 7 - 4 = 3

y-component: - 1 - (-1) = -1 + 1 = 0

use the tangent function to find the angle $\theta$ :

$tan(\theta)=\frac{y-comp}{x-comp}=\frac{0}{3} = 0\\\theta = 0^o$

5 0

3 years ago