The width of a rectangle is the length minus 2 units. The area of the rectangle is 63

Hector is competing in a 42-mile bicycle race. He has

m_a_m_a [10]

Answer:

Let x = the hours needed for Wanda to catch up to Hector.

Hector has already completed 18 miles. Hector travels at 12 miles per hour.

After x more hours, Hector will travel

18 + 12x miles

Wanda travels at 16 miles per hour. In x hours, she travels

16x miles

If Wanda catches up to Hector, then

16x = 18 + 12x

4x = 18

x = 4.5 hours

Answer: 4 hours, 30 minutes (or 4.5 hours)

Step-by-step explanation:

7 0

3 years ago

HELP! i’ll mark you as brainliest

Nadya [2.5K]

Answer:

m<F = 79 degrees

Step-by-step explanation:

As per the given information;

m<E = 22, the triangle EDF (the one that is given in the picture) is isosceles (meaning that the sides are congruent).

In an isosceles triangle, (a triangle where the sides are congruent) the base angles (the angles opposite to the two congruent sides) are also congruent. One should also know, that in an isosceles triangle, like in any triangle, the sum of the measures of the angles equals 180 degrees.

Using this we can say that

m<D = m<F

To keep it simple while solving the problem, let's say that they have a value of x degrees.

So,

m<E + m<D + m<F =180

Subsitute

22 + x + x = 180

Simplify and inverse operations

22 + x + x = 180

-22 -22

2x = 158

/2 /2

x = 79

So the measure of <D and <F is 79 degrees.

7 0

3 years ago

Read 2 more answers

Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail inste

Volgvan

Answer:

a) The calculated value t = 5.903 > 2.572 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is a true mean value is less than 10

b) p - value 0.00001

The p - value 0.00001 < 0.01

The result is significant at p<0.01

Step-by-step explanation:

Step(i):-

Given mean of the population = 10

Sample size 'n'= 35

Mean of the sample x⁻ = 14.44

Standard deviation of the sample 's' = 4.45

Level of significance ∝ = 0.01

Step(ii):-

Null Hypothesis H₀ : μ >10

Alternative Hypothesis : H₁ : μ < 10

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{14.44-10}{\frac{4.45}{\sqrt{35} } }$

t = 5.903

Degrees of freedom = n-1 = 35-1 = 34

tabulated value t₀.₀₁,₃₄ = 2.572

The calculated value t = 5.903 > 2.572 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is a true mean value is less than 10

p- value :

p - value 0.00001

The p - value 0.00001 < 0.01

The result is significant at p<0.01

8 0

3 years ago

250 divided by 10 squared equals?

navik [9.2K]

250 divided by 10 squared is 2.5

4 0

3 years ago

Read 2 more answers

An airplane is traveling at an altitude of 30,000 feet

Murljashka [212]

Answer:

10 minutes

Step-by-step explanation:

First, find how much higher the airplane has to travel:

35,000 - 30,000

= 5,000

To fine how long it will take, divide 5000 by 500

5000/500

= 10

So, it will take 10 minutes to get above 35,000 feet

5 0

3 years ago