The beginning and ending readings on an odometer were 75,312.8 and 76,002.6. If the trip took 10-1/2 hours, what was the rate of the car in miles per hour to the nearest tenth?

Answer:

y=-3x

Step-by-step explanation:

The y intercept is zero because it goes through (0,0)

The slope is -3 because the line goes through -3 at 1, so it goes down 3 on the y axis for every 1 right on the x axis.

Answer:

[tex]circumference = 2\pi \: r \\ = 2 \times \pi \times 22 \\ = 44\pi \: inches[/tex]

Answer:

The circumference is 44 pi.

Step-by-step explanation:

You have to use the formula, C=2 Pi R but since it's in terms of pi, we can not include pi in the equation. 2 times r (radius) is 44, therefor the answer is 44 pi.

I hope this is help full to you

Answer:

3

Step-by-step explanation:

because this is the formula of Pythagorean theorem a^2 + b^2 = c^2 so all I did was 5^2 = 25 - 4^2 = 25-16 = 9 and square root of 9 = 3 i hope this helps. :D please give brainliest

Answer:

40°

Step-by-step explanation:

because angle In an isosceles triangle base angles are same and angle in a triangle add up to 180° and angle on a straight line add up to 180°

hope this helps:)

9514 1404 393

Answer:

  24.3 ft

Step-by-step explanation:

If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...

  h² +6² = 25²

  h² = 625 -36 = 589

  h = √589 ≈ 24.3

The ladder reaches about 24.3 feet up the tree.

Answer:

The total pay would be $50, But there would also be tax to consider in this situation.

Answer:

x=28

Step-by-step explanation:

Step 1, comparing triangles:

Let us look at [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex].

Therefore, because of AAA (Angle Angle Angle), [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex] are similar.

Step 2:

Because the two triangles are similar, their sides should be proportional. Notice that [tex]\overline{AB}[/tex] and [tex]\overline {AD}[/tex] should be proportional.

Therefore, [tex]\overline{AB}[/tex]: [tex]\overline {AD}[/tex] =

[tex]12:30+12=\\12:42=\\2:7[/tex]

(Note, [tex]\overline {AD}[/tex] =  [tex]\overline{AB}[/tex]+ [tex]\overline{BD}[/tex]=12+30)

Step 3:

We figured out that  [tex]\triangle ABC[/tex]  and  [tex]\triangle ADE[/tex] have proportional sides of 2:7. Therefore,  [tex]\overline{BC}[/tex] and [tex]\overline{DE}[/tex] should also have a ratio of 2:7.

[tex]8: \overline{DE}=2:7\\8:\overline{DE}=8:28\\\overline{DE}=\fbox{28}[/tex]

x=28

I hope this helps! Let me know if you have any questions :)

Answer:

x = 20

Step-by-step explanation:

If we look at the given diagram, we will see that ΔABC and ΔADE are similar. Because they a similar we know that corresponding sides are in proportion. In order to solve this question, we need to know what the coefficient of similarity is.

AB and AD are corresponding sides, in order to get from 12 to 30 we need to multiple 12 by 2.5. That means that the coefficient of similarity between the two triangles is 2.5. To get x (length of DE) we need to multiply the length of BC by the coefficient of similarity. And so we get...

x = 2.5(BC)

x = 2.5(8)

x = 20

Answer:

d

Step-by-step explanation:

180-149= 31.

31+ 122= 153

180-153= 27

a= 27

Answer:

there are approximately 5.035 months when there is less than 9 million square meters of sea ice around the North Pole in a year.

Step-by-step explanation:

Given the data in the question;

Let S(t) represent the amount sea ice around the North Pole in millions of square meters at a given time t,

t is the number of months since January.

Now, we use a cosine curve to model this scenario

Vertical shift will be;

D = ( 6 + 14 ) / 2 = 20 / 2

D = 10

Next is the Amplitude;

|A| = ( 6 - 14 ) / 2

|A| = 4

Now, the horizontal stretch factor will be;

B = 2π / 12

B = π/6

Hence;

S(t) = 4cos( π/6 × t ) + 10 ----------- let this be equation 1

Now we find when there will be less than 9 million square meters of sea ice;

S(t) = 9

so we have

9 = 4cos( π/6 × (t-2) ) + 10

9 - 10 = 4cos( π/6 × (t-2) )

-1 = 4cos( π/6 × (t-2) )

-1/4 = cos( π/6 × (t-2) )

so we have;

cos⁻¹( -1/4 ) = π/6 × (t₁-2)  -------- let this be equation 2

2π - cos⁻¹( -1/4 ) = π/6 × (t₂-2)  -------- let this be equation 3

so we solve equation 2 and 3

we have'

t₁ - t₂ = 6/π × ( 2π - cos⁻¹( -1/4 ) - cos⁻¹( -1/4 ) )

t₁ - t₂ = 6/π × ( 2π - 2cos⁻¹( -1/4 )  

t₁ - t₂ = 6/π × ( π - cos⁻¹( -1/4 )  

t₁ - t₂ = 6/π × ( π - 104.4775 )

t₁ - t₂ = 6/π × ( π - 104.4775 )  

t₁ - t₂ = 5.035

therefore, there are approximately 5.035 months when there is less than 9 million square meters of sea ice around the North Pole in a year.

Answer:

Average rate of change = 5

Step-by-step explanation:

Average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Using this rule for the average rate of change of the function (defined by the table) over the interval 4 ≤ x ≤ 5,

Average rate of change = [tex]\frac{f(5)-f(4)}{5-4}[/tex]

From the table,

f(5) = 10

f(4) = 5

Therefore, average rate of change of the function = [tex]\frac{10-5}{5-4}[/tex]

                                                                                    = 5

Answer:

=5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Did you manage to solve it?

Step-by-step explanation:

the scale factor k = 5/12

The scale factor k = 5/12 is required to dilate triangle ABC thus, its image, ABC is congruent to triangle EFD.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

From the figure attached, we are given that Triangle ABC is similar to triangle EFD.

Therefore,

BC/ FD = AC/ ED

These corresponding sides are proportional.

Scale factor;

EF / AB = 5/12

Then Angle between this sides is also equal.

The SAS rule of similarity of triangles states that two triangles will be similar if their corresponding two sides are proportional and the angle between these two sides is equal.

The scale factor k = 5/12 is required to dilate triangle ABC thus, its image, ABC is congruent to triangle EFD.

Learn more about scale factors here:

https://brainly.com/question/11178083

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Answer:

-8

Step-by-step explanation:

g(4)=8

8÷4=2

g=2

g(-4)=2(-4)

=(-8)

holp it can help you.

Answer:

160

Step-by-step explanation:

96 / (100%-40%) = 96/ (60%)

= 96/0.6 = 160

Q) 96/(100% - 40%)

→ 96/ 60%

→ 96/ 0.6

→ 160 is the number.

Answer: True

Step-by-step explanation:

The subjects of an experiment should be selected at random so that they

represent the population is true.

Once the sample size has been decided, a sample should be taken from the sample size which will represent the population. This gives everyone an equal chance of being selected as there's no bias.

Answer:

I think no B

if wrong correct me pls

I HOPE IT HELPS

HAVE A GREAT DAY

[tex]#Liliflim[/tex]

Answer:

B

Step-by-step explanation:

C=7s

Step-by-step explanation:

[(1/6 × 3/4) + (3/4) + 1] n = 51.75 -3

(⅛ + ¾ +1)n = 48.75

15/8 n = 48.75

1.875 n = 48.75

n = 48.75/1.875

n = 26

so, the cost of :

the brush = ⅛×26 = $ 3.25

the sketchbook = ¾×26 = $ 19.5

the pain set = $ 26

Step-by-step explanation:

jajajsjhshhsejjddjidndjdjdjxndjdkhsjdjddjdkd

The probability is 1/3 that the number on the counter is not a multiple of three.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have to determine the probability that the number on the counter is not a multiple of three.

There are nine counters in a bag numbered from one to nine.

If a counter is drawn at random from the bag.

One to nine, there are three numbers are multiple of three that is (3, 6, 9)

Here favorable outcomes = 3

So the probability that the number on the counter is not a multiple of three as

⇒ 3/9

⇒ 1/3

Therefore, the probability is 1/3 that the number on the counter is not a multiple of three.

Learn more about the probability here:

brainly.com/question/11234923

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Answer:

7

Step-by-step explanation:

To find the number, first multiply 8 by 3, since that is how you find the mean.

8 x 3 = 24 (total)

x + 6 + 11 = 24

x = 24 - 6 - 11

x = 7

Inverse:

7 + 6 + 11 = 24

Mean = 24/3 = 8

Hope this helps!

Answer:

v

Step-by-step explanation:

Answer:

The one you selected is correct! You can check it by using the four values of m and w given.

Answer:

Convenience sampling

Step-by-step explanation:

When sampling is done based in degree of ease or samples picked from observations that are easily accessible rather than prioritizing randomness or selection which will most be representative of the population, then such sampling is called convenience sampling. In some texts, it is also referred to as grab sampling as researchers choose from close, easy to reach samples. In the scenario above, the quality control takes the easy procedure of checking the first and last 10 motorcycles as this is easier than having to take samples at random tune intervals which will be a better representation of the entire motorcycles.

Answer: How are we going to point it?

Step-by-step explanation:

Answer:

173 cm

105 kg

Step-by-step explanation:

Given :

BSA= √wh /3600

where w = weight in kg and h = height in cm.

A.)

w = 75 kg ; BSA = 1.9 ; h =?

BSA= √wh /3600

1.9 = √75h /3600

Take the square of both sides

1.9² = 75h /3600

1.9² * 3600 = 75h

12996 = 75h

h = 12996 / 75

h = 173.28 cm

h = 173 cm

B.)

h = 166 ; BSA = 2.2

BSA= √wh /3600

2.2 = √w166 /3600

Take the square of both sides

2.2² = 166w /3600

2.2² * 3600 = 166w

17424 = 166w

w = 17424 / 166

w = 104.96 kg

w = 105 kg

Using the model given, we have that:

a) h = 173 cm.

b) w = 105 kg.

The BSA, for a person of weight w and height h, is given by:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

Item a:

[tex]BSA = 1.9, w = 75[/tex], hence:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

[tex]1.9 = \sqrt{\frac{75h}{3600}}[/tex]

[tex]\left(\sqrt{\frac{75h}{3600}}\right)^2 = 1.9^2[/tex]

[tex]\frac{75h}{3600} = 3.61[/tex]

[tex]h = \frac{3600(3.61)}{75}[/tex]

[tex]h = 173[/tex]

Hence:

h = 173 cm.

Item b:

[tex]BSA = 2.2, h = 166[/tex], hence:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

[tex]2.2 = \sqrt{\frac{166w}{3600}}[/tex]

[tex]\left(\sqrt{\frac{166w}{3600}}\right)^2 = 2.2^2[/tex]

[tex]\frac{166w}{3600} = 4.84[/tex]

[tex]w = \frac{3600(4.84)}{166}[/tex]

[tex]w = 105[/tex]

Hence:

w = 105 kg.

A similar problem, in which there is also an application of a formula, is given at https://brainly.com/question/24348510