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3 years ago

Can someone help me with the First question ?

Mathematics

2 answers:

miskamm [114]3 years ago

5 0

Answer:

Step-by-step explanation:

#1.

228 ÷ 6 = 38 in

#2.

186 ÷ 3 = 62 ft

#3.

360 ÷ 8 = 45 yd

#4.

119 ÷ 7 = 17 ft

I hope I helped you.

ki77a [65]3 years ago

5 0

Answer:

Perimeter is the total outside dimension.

To find the length of one side, divide the total perimeter by the number of sides.

1. 228 / 6 = 38 inches.

2. 186 / 3 = 62 feet.

3. 360 / 8 = 45 yards

4. 119 / 7 = 17 feet.

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Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths

AnnZ [28]

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

<h3>How to find Scale Factor?</h3>

Scale factor = dimension of new figure / dimension of original figure

The polygons given are shown in the diagram attached below.

Figure A is the original figure

Figure B is the new figure.

x, y, and z has been used to mark the missing sides of figure B.

One dimension of original figure = 15

Corresponding dimension of the new figure = 3

Scale factor = new/original = 3/15

Scale factor = 1/5

To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:

x = 12 × 1/5 = 2.4

y = 18 × 1/5 = 3.6

z = 20 × 1/5 = 4

In summary:

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

Learn more about scale factor on:

brainly.com/question/2826496

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2 years ago

Cassie has 1/2 pound of sugar in her cabinet.Her cake recipe calls

BigorU [14]

Answer:

2 cakes with the sugar she has and there will still be some sugar left.

Step-by-step explanation:

Amount of sugar in the cabinet of Cassie = 1/2 pound

Amount of sugar required by Cassie to make her cake recipe = 2/10 pound

= 1/5 pounds

Then

The number of cakes that Cassie can make = (1/2)/(1/5)

= 5/2

= 2 1/2

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3 years ago

Noah is ordering a taxi from an online taxi service. The taxi charges $2.50 just for the pickup and then an additional $2 per mi

d1i1m1o1n [39]

Answer:

$10.50

Step-by-step explanation:

We can make an equation

2.50+2x=?

x=4 because we are riding 4 miles.

so it's 2.5+2*4=?

let's solve

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3 years ago

Use the NET as an aid to compute the surface area.

MrRa [10]

I don’t know but if I did I’m sur it would be helpful sorry though

5 0

2 years ago

Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩

NISA [10]

Answer:

$\theta = 108.29$

Step-by-step explanation:

Given

$u =$

$v =$

Required:

Calculate the angle between u and v

The angle $\theta$ is calculated as thus:

$cos\theta = \frac{u.v}{|u|.|v|}$

For a vector

$A =$

$A = a * b$

$cos\theta = \frac{u.v}{|u|.|v|}$ becomes

$cos\theta = \frac{.}{|u|.|v|}$

$cos\theta = \frac{2*6+4*-7}{|u|.|v|}$

$cos\theta = \frac{12-28}{|u|.|v|}$

$cos\theta = \frac{-16}{|u|.|v|}$

For a vector

$A =$

$|A| = \sqrt{a^2 + b^2}$

So;

$|u| = \sqrt{2^2 + 6^2}$

$|u| = \sqrt{4 + 36}$

$|u| = \sqrt{40}$

$|v| = \sqrt{4^2+(-7)^2}$

$|v| = \sqrt{16+49}$

$|v| = \sqrt{65}$

So:

$cos\theta = \frac{-16}{|u|.|v|}$

$cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}$

$cos\theta = \frac{-16}{\sqrt{2600}}$

$cos\theta = \frac{-16}{\sqrt{100*26}}$

$cos\theta = \frac{-16}{10\sqrt{26}}$

$cos\theta = \frac{-8}{5\sqrt{26}}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})$

$\theta = cos^{-1}(\frac{-8}{5 * 5.0990})$

$\theta = cos^{-1}(\frac{-8}{25.495})$

$\theta = cos^{-1}(-0.31378701706)$

$\theta = 108.288386087$

<em></em> $\theta = 108.29$ <em> (approximated)</em>

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2 years ago