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3 years ago

It took the race car 22 minutes to travel 144.4 kilometers at which rate did the car travel

Mathematics

1 answer:

Feliz [49]3 years ago

6 0

144.4/22 = 6.56 kilometers per min

6.56 * 60 = 393.82 kilometers per hour

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HELPPP ME ASAPPPP PLEASEEE!!

kaheart [24]

y = 90°

Solution:

The reference image for the answer is attached below.

The sum of opposite interior angles is equal to the exterior angles.

m∠BAC + m∠ACB = 110°

m∠BAC + 70° = 110°

m∠BAC = 110° – 70°

m∠BAC = 40°

m∠BAD + m∠DAC = 40°

x + x = 40°

2x = 40°

Divide by 2 on both sides of the equation.

x = 20°

In triangle DAC,

Sum of all the angles of a triangle = 180°

m∠DAC + m∠ACD + m∠CDA = 180°

20° + 70° + m∠CDA = 180°

90° + m∠CDA = 180°

m∠CDA = 180° – 90°

m∠CDA = 90°

∠CDA and y lies on the straight line. So they form a linear pair.

y + m∠CDA = 180°

y + 90° = 180°

y = 180° – 90°

y = 90°

The value of y is 90°.

7 0

3 years ago

Please help I will give brainiest

vovikov84 [41]

Answer:

Step-by-step explanation:

The constant of proportionality is what determines the relationship between y and x. If t is the constant of proportionality then an example is y = tx .

So 4 is the constant of proportionality

7 0

3 years ago

Read 2 more answers

What is the solution for x in the equation? 16x − 4 + 5x = -67

Luden [163]

Answer:

x = -3

Step-by-step explanation:

16x − 4 + 5x = -67

Combine like terms

21x -4 = -67

Add 4 to each side

21x-4+4 = -67+4

21x = -63

Divide each side by 21

21x/21 = -63/21

x = -3

3 0

3 years ago

Read 2 more answers

Assume $20,000 is deposited into a savings account. Bedford Bank offers an annual rate of 1% simple interest for five years. Sli

lozanna [386]

Using a savings interest calculator, I found that either way your savings grow by exactly $1,020.20, so they share the same interest.

7 0

3 years ago

A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.

f) $f(t)=16.2−0.062t =12$

$0.062t = 16.2-12 = 4.2$

$t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7$ years to 1 decimal place.

8 0

3 years ago