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3 years ago

Solve the inequality: 5 (2h+8) < 60

Mathematics

1 answer:

sashaice [31]3 years ago

5 0

Answer:

5 (2h+8) < 60

10h+40<60

10h<20

h<2

Your Welcome

BIFFY OUT!!!

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A conclusion which is arrived at by Inductive reasoning is called a _____?

Ann [662]

Answer: A conclusion you reach using inductive reasoning is called conjecture.

Step-by-step explanation: Examining several specific situations to arrive at a conjecture is called inductive reasoning.

5 0

3 years ago

the question is in the picture below, if you could show all your work so i can see how to do it, that would be appreciated.

ki77a [65]

m∠R = 27.03°

Solution:

Given In ΔQRP, p = 28 km, q = 17 km, r = 15 km

To find the measure of angle R:

Law of cosine formula for ΔQRP:

$r^{2}=p^{2}+q^{2}-2 pq \cos R$

Substitute the given values in the above formula.

$(15)^{2}=(28)^{2}+(17)^{2}-2 (28)(17) \cos R$

$225=784+289-952 \cos R$

$225=1073-952 \cos R$

Switch the given equation.

$1073-952 \cos R=225$

Subtract 1073 from both side of the equation.

$-952 \cos R=-848$

Divide by –952 on both sides.

$$ \cos R=\frac{106}{119}$

$$ R=\cos^{-1} \left(\frac{106}{119}\right)$

$R=27.03^\circ$

Hence m∠R = 27.03°.

7 0

4 years ago

If a current of 12 amps produces 480 volts across a resistor then how many volts does a 15 amp produce?

LekaFEV [45]

Answer:

600 volts

Step-by-step explanation:

Given =

A = 12 ampere

V = 480 volts

A2 = 15 ampere

Solution =

R = V/I

= 480 / 12

= 40 ohms

R = V / I

V = R x I

= 40 x 15

= 600 volts

7 0

3 years ago

what is the area of the shaded sector of the circle if the radius is 14 ft? leave your answer in terms of pi

Strike441 [17]

Given:

Radius = 14 ft

θ = 45°

To find:

Area of the shaded sector

Solution:

Area of the sector formula:

$$\text { area of sector }=\frac{\theta}{360^{\circ}} \times \pi r^{2}$

$$=\frac{45^\circ}{360^{\circ}} \times \pi \times 14^{2}$

$$=\frac{1}{8} \times \pi \times 196$

$=24.5\pi$ ft²

The area of the shaded sector of a circle is 24.5π ft².

3 0

4 years ago

ILL MARK U BRAINLIEST

alex41 [277]

Answer: the answer is

this would be c 12 because it is the proper proportionality that relates to the number of cupcakes

plz brainiest

5 0

3 years ago