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3 years ago

A car travels at the rate of 350km in 5 hours.

Mathematics

1 answer:

leva [86]3 years ago

3 0

Answer:

a.) 70 km per hour

b.) 245 km

Step-by-step explanation:

a.) Find how far the car can travel per hour by dividing:

$\frac{350}{5}= 70$

The car travels at a rate of 70 km per hour.

b.) Make an equation with h as hours and d as the distance the car can travel:

$d=70h$

Insert the hours:

$d=70(3.5)$

Simplify:

$d=70*3.5\\d=245$

At a rate of 70 km per hour, in 3.5 hours, the car can travel a total of 245 km.

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miss Akunina [59]

Answer:

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Step-by-step explanation:

A supplementary angle is a 180° angle formed by two angles. ∠3 and ∠2 form a straight line / 180° angle.

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3 years ago

A rectangle has a length of 3.6 in, and a perimeter of 16.8 in.

zhannawk [14.2K]

Answer:

Width = 4.8 inches

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

$P=2l+2w$

Where

P is perimeter

l is length

w is width

Given length = 3.6 and perimeter = 16.8, we plug them in into the formula and figure out the width, w. Process shown below:

$P=2l+2w\\16.8=2(3.6)+2w\\16.8=7.2+2w\\16.8-7.2=2w\\9.6=2w\\w=\frac{9.6}{2}\\w=4.8$

Hence, the width is 4.8 inches

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3 years ago

WHO DOESN'T LOVE MAX POINTS. MAX POINT QUESTION PLS ANSWER THIS TRIGONOMETRY QUESTION

mezya [45]

Answer:

Solution given:

opposite:9

adjacent: 12

$\theta=?$

Relationship between opposite and adjacent is given by tan angle

$Tan \theta=\frac{opposite} {adjacent}=\frac{9}{12}$

$Tan \theta=\frac{3}{4}$

$\theta=Tan^{-1}\frac{3}{4}$

$\bold{\theta=36.8°}$

#11.

hypotenuse[h]=11cm

opposite/perpendicular[P]=b cm

adjacent/base[b]=a cm

now

$\theta=62°$

Relationship between height and hypotenuse is given by Sin angle

Sin 62°= $\frac{opposite}{hypotenuse}=\frac{b}{11}$

doing crisscrossed multiplication

b=Sin 62°*11

:.b=9.71 cm

a) At 9.71 cm height does the ladder touch the building.

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Relationship between base and hypotenuse is given by Cos angle

:.Cos 62°= $\frac{base}{hypotenuse}=\frac{a}{11}$

doing crisscrossed multiplication

a=Cos 62°×11

a=5.16cm

b) the distance between the foot of the ladder and the building is 5.16cm.

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2 years ago

Two numbers add to 151 and the second is 21 bigger than the first. What are the two numbers?

IRISSAK [1]

96 plus 75 I think that is the answer

4 0

3 years ago

Read 2 more answers

Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea

asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let $\mu$ = average ounces of ice cream consumed by American per month

So, Null Hypothesis, $H_0$ : $\mu \leq$ 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, $H_A$ : $\mu$ > 17 ounces {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average = 19 ounces

s = sample standard deviation = 5 ounces

n = sample of Americans = 25

So, test statistics = $\frac{19-17}{\frac{5}{\sqrt{25} } }$ ~ $t_2_4$

= 2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

8 0

3 years ago