What is the measure of ZABC?
А
D
75
O A. 75°
45
B
E
m
B. 60°
с
O C. 45°
O D. 120°

Answer:

y= -60x+ 200

Step-by-step explanation:

Given: Initial distance from Kingston = 200 miles

Distance from Kingston after 2 hours= 80 miles

Step 1:

The general model for linear equations is given as:

y= ax+ b

where

a= slope

b= y-intercept

Step 2:

The y-intercept represents the initial value: 200 miles from the Kingston

b= 200

Therefore,

y= ax+ 200

Step 3:

As the car gets closer to Kingston, the distance keeps decreasing.

The car having covered 80miles need to cover another 120 miles after 2 hours

Hence, the slope would be negative

Slope:

a= -120 miles/2 hours

a=-60

The model therefore is:

y= -60x+ 200

Final answer: Option (D)

The model is : y= -60x+ 200

Answer:

24

Step-by-step explanation:

4x=12

x=12/4

x=3

8×=?

8(3)=24

therefore, 8 pieces will cost 24.

another way is:

since 8 is 4×2

you could double the amount of money

12x2

which would also give you $24

If charged per cut, it will cost 24 dollar to cut a log into eight pieces if cutting it into four pieces costs $12

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that to cut a log into eight pieces if cutting it into four pieces costs $12.

Thus,

4x=12

x=12/4

x=3

Hence, for 8 pieces

8(3)=24

therefore, 8 pieces will cost 24.

If charged per cut, it will cost 24 dollar to cut a log into eight pieces if cutting it into four pieces costs $12

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.

13^2 + b^2 = 17^2

169 + b^2 = 289

b^2 = 120

b = 11.0 cm

The length of the other leg of the triangle is 11.0 cm (rounded).

Hope this helps!

The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

[tex]a^2 + b^2 = c^2[/tex]

Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.

To find the lengths of a right triangle, we can use Pythagorean Theorem:

[tex]a^2 + b^2 = c^2[/tex],

where; a and b are the legs of the triangle and c is the hypotenuse.

[tex]13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120[/tex]

b = 11.0 cm

Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

Answer:

13

Step-by-step explanation:

to round to nearest whole number if its .5 or above you go up 1. If it's .4 or below you go down 1.

2.414=2

8.160=8

2.621=3

add

2+8+3=13

if you just added the decimals you would get: 13.195. (This shows you have a good estimate.)

Answer:

14.5 hours

Step-by-step explanation:

Take the return trip situation.

From town to village

That is equal to the sum of t, the time taken from the village to the city and 30 minutes.

⇒ t + 30 minutes = 15 hours

⇒ t + 0.5 hours = 15 hours

⇒ t = 14.5 hours

Answer:

less

Step-by-step explanation:

3 km is 1.864 miles therefore, less than 5,000 m

Answer:

850m^2

Step-by-step explanation:

Look at the formula SA=L*W*H. And plug in the numbers pertaining the question! hints on to what to add is stuff like "long" for length, "wide" for width, and "high" for height! And use a calculator, or scetch it out to find your total answer!

Hope this helps!

Answer: x=4. PS=QR=15

Step-by-step explanation:

Considering the confidence interval, the interpretation regarding wheter 60% of Skyline College students say math is their favorite subject is:

A. No, 0. 60 is not contained in the interval.

B. Yes, all the interval values are greater than 0.60.

C. No, all the interval values are greater than 0.60.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

In this problem, the confidence interval for the proportion of students who say math is their favorite subject is (0.6358, 0.7532).

Since the entire interval is above 0.6, and it does not contain 0.6, the correct answer for each question is given as follows:

A. No, 0. 60 is not contained in the interval.

B. Yes, all the interval values are greater than 0.60.

C. No, all the interval values are greater than 0.60.

More can be learned about confidence intervals at https://brainly.com/question/25890103

Step-by-step explanation:

From how Bert, his sister and older brother are standing, they form a triangle. Since we are not told anything else we can assume they form a right angled triangle. Use theorem of pythagoras to get the missing side.

Bert and his sister are 4 meters apart.

Answer:

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Answer:

x=13.9

Step-by-step explanation:

To find x we need an angle other than the right angle to use a trigonometric function. To do this we could either use Sine = Opposite/Hypotenuse or Cosine = Adjacent/Hypotenuse.

In this case i'll be using sine.

To find the angle that is above the right angle we need to use the inverse of Sine. Set up the equation

[tex] \sin^{ - 1} = \frac{22}{26} [/tex]

The answer to this is about 57.8. So now we have an angle to use to solve for x.

So now we set up the proportion

[tex] \frac{ \cos(57.8) }{1} = \frac{x}{26} [/tex]

Cross multiply.

x = 26×cos(57.8)

Put this in a calculator and x is about 13.9

x y

1 16

2 12

3 8

5 0

Step-by-step explanation:

you have to substitute ever number on the X side in the equation to get the Y

for example 1 is under x so you will take

y=20-4(1)

y=20-4

y=16

Answer:

18

Step-by-step explanation:

no. of boys=2x

no.of girls=x

total no. of pupils=2x+x

27=3x

27/3=x

x=no.of girls=9

no.of boys =2x=2*9=18

Answer: 18 Boys

Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice

Answer:

d is about 8.6 feet.

Step-by-step explanation:

We have similar triangles, so we can set up and then solve this proportion:

[tex] \frac{d}{10} = \frac{6}{7} [/tex]

[tex]7d = 60[/tex]

[tex]d = 8.6[/tex]

[tex] \huge\fbox\green{ANSWER} [/tex]

Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2

[tex] \mathsf \blue{83.25 {cm}^{2} }[/tex]

Answer:

B

Step-by-step explanation:

First, we find the equivalent decimal numbers:

-1.75 = -1.75

-7/10 = -0.7

-1 5/7 = -1.7142...

-0.07 = -0.07

Descending order of the equivalent decimal numbers:

-0.07, -0.7, -1.7142..., -1.75

Now we replace the equivalent decimal numbers with the original numbers.

-0.07, -7/10, -1 5/7, - 1.75

Answer: B

Answer:

Point C

Step-by-step explanation:

because the number is 0.3 you need to start at zero on the number line and go forward 3 marks. That will lead you to your answer of 0.3

Answer: it’s C because it’s the one that’s closer to 3 if u need help just ask

Step-by-step explanation:

Hope this helps

-3

HCF for both I believe!

Answer: 64x + 30

Step-by-step explanation:

         Since this is an expression, we will simplify. Let � be x.

    Given:

32 + 4 * (16 * x) -2

    Simplify:

32 + 4(16x) -2

    Distribute / multiply:

32 + 64x - 2

    Combine like terms

64x + 30

Answer:

7.62

Step-by-step explanation:

To calculate the distance we can set up a right triangle and use the pythagorean theorem to calculate the distance.

A^2 + B^2 = C^2

Keep in mind that the A and B in this theorem (and my proceeding work) does not correlate to the labels for the points in the problem and are the standard variables used in the theorem.

First lets find the lengths of the sides A and B of our triangle by determing the distance on each axis that seperates the points.

On the x-axis we have

A = 5 - 2

A = 3

The y-axis has

B = 4 - (-3)

B = 7

Plugging these values into the equation from earlier we get:

3^2 + 7^2 = C^2
Where C is the hypotenuse of the right triangle we have created, and the distance between the two points.

9+49 = C^2

sqrt(58) = C

7.615773106 = C

Rounded the the nearest hundredth:

C = 7.62

Answer:

a) Class D - lowest variability/range

b) Class C - highest average/mean

Hope this helps!

Answer:

9 in × 5 in

Step-by-step explanation:

the area of a rectangle :

length × width

and this is 45 in² in our case.

the perimeter of a rectangle is

2×length + 2×width

and this is 28 in in our case.

l×w = 45

l = 45/w

2×l + 2×w = 2×(45/w) + 2w = 28

45/w + w = 14

45 + w² = 14w

w² - 14w + 45 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 1

b = -14

c = 45

w = (14 ± sqrt((-14)² - 4×1×45))/(2×1) r

= (14 ± sqrt(196 - 180))/2 = (14 ± sqrt(16))/2 =

= (14 ± 4)/2 = 7 ± 2

w1 = 7 + 2 = 9 in

w2 = 7 - 2 = 5 in

l1 = 45/w1 = 45/9 = 5 in

l2 = 45/w2 = 45/5 = 9 in.

so, we see, length and width are interchangeable. it is only important to make one 9 in and the other 5 in.

Step-by-step explanation:

it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.

and then I see

7 × 2 = 14

14 × 2 = 28

28 × 2 = 56

ok, so the sequence is created by always multiplying by 2.

a1 = 7

a2 = a1 × 2 = 7 × 2 = 14

a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28

an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)

a14 = 7 × 2¹³ = 7 × 8192 = 57,344

Answer:

10 is the answer for this

please mark me as brilliant

Answer:

X= -27

Step-by-step explanation:

X+12= -15

X= -15 -12

X= -27

Answer:

It will gain $120, making it $620 in all.

Step-by-step explanation:

A = 500(1 + (0.06 × 4)) = 620