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kirza4 [7]
3 years ago
13

The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the neares

t inch. Enter your answer in the box.
Mathematics
1 answer:
patriot [66]3 years ago
6 0
Hyp^2 = 8^2 + 9^2
hyp^2 = 64 + 81
hyp^2 = 145
hot = 12 inch
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andrew11 [14]

Answer:

(i) The name of the part of the circle, OQ is a radius

(ii) The radius of the sector QOR is 21 cm

Step-by-step explanation:

The given figure is a sector of the circle O

∵ Any sector of a circle formed from 2 radii and an arc

∴ OQ is a radius

(i) The name of the part of the circle, OQ is a radius

The rule of the length of an arc of a circle is L = \frac{\alpha }{360} × 2 π r, where

  • α is the angle of the sector
  • r is the radius of the circle

∵ The length of the arc QR is 22 cm

∴ L = 22

∵ The measure of the angle of the arc is 60°

∴ α = 60°

∵ π = \frac{22}{7}

→ Substitute them in the rule above

∵ 22 = \frac{60}{360} × 2 × \frac{22}{7} × r

∴ 22 = \frac{22}{21} r

→ Divide both sides by  \frac{22}{21}

∴ 21 = r

(ii) The radius of the sector QOR is 21 cm

5 0
3 years ago
Nga
andrezito [222]

Answer:

Step-by-step explanation:

5 0
2 years ago
Luigi uses 39 cups of flour for every 6 pizzas he makes.Complete the table using equivalent ratios. Pizzas
zlopas [31]

Answer:

Part 1) The number of cups of flour needed to make 4 pizzas is 26

Part 2) The number of pizzas Luigi can make with 13 cups of flour is 2

Step-by-step explanation:

we know that

Luigi uses 39 cups of flour for every 6 pizzas he makes

Let

y ----> the number of cups of flour used

x ---> the number of pizzas he makes

In this problem

The relationship between the variables x, and y, represent a proportional variation

we have the ordered pair (6,39)

so

\frac{y}{x}=\frac{39}{6}

Part 1) Find out the number of cups of flour needed to make 4 pizzas

using a proportion

\frac{y}{4}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}

Solve for y

y=\frac{39}{6}(4)

y=26\ cups\ of\ flour

Part 2) Find out the number of pizzas Luigi can make with 13 cups of flour

using a proportion

\frac{13}{x}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}

Solve for x

x=13(6)/39

x=2\ pizzas

6 0
3 years ago
Read 2 more answers
14x2 - 8x+ 3<br> - 6x2 + 7x-11
Firlakuza [10]

Answer:

28-8x+3

-12+7x-11

16-x-8

x=16+8

x= 24

4 0
3 years ago
***URGENT*** PLEASE HELP ME ASAP, ITS DUE TODAY!!!
vladimir2022 [97]

Answer:

Construct MN.

Since M is the midpoint of OA, OM = MA

Similarly, N is the midpoint of OB.

Thus, ON = NB.

Now, in Δs OMN and OAB,

∠MON = ∠AOB (common angle)

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∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)

Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)

But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)

Thus, AB || MN (QED)

8 0
2 years ago
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