Someone please help me. ASAP

Answer:

[tex]y-3=\frac{1}{5} (x-2)[/tex]

Step-by-step explanation:

First you need to find the slope by using this formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{(4)-(3)}{(7)-(2)}\\m=\frac{1}{5}[/tex]

Now you can put it in point slope form which is: [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=\frac{1}{5} (x-2)[/tex] is your answer.

Answer:

3:5

Step-by-step explanation:

all figures can be divided by 8, so

swimming- 40/8= 5

arts 16/8= 2

music 24/8= 3

therefore, the ratio would be 3:5

Answer:

3/5

Step-by-step explanation:

I took it but got it wrong so i did the math problem and got this 3/5

Answer:

$165

Step-by-step explanation:

Answer:

156$

Step-by-step explanation:

The fire is a distance of 9.33 miles from Station A and 4.67 miles from Station B.

Let's denote the distance of the fire from station A as "x" and the distance of the fire from station B as "y".

From station A, the bearing of the fire is N 35° E. This means that if we draw a line connecting station A and the fire, the angle between this line and the north direction is 35°.

Similarly, from station B, the bearing of the fire is N 30° W. This means that the angle between the line connecting station B and the fire and the north direction is 30°.

Now, let's construct a triangle with vertices at Station A, station B, and the fire. The line connecting station A and station B represents the base of the triangle, and the lines connecting station A and the fire and station B and the fire represent the two sides of the triangle.

Since the triangle is isosceles (both sides are equal), the angles opposite the two sides will also be equal.

Let's denote the angle opposite side x as α and the angle opposite side y as β.

From the given bearings, we can determine the values of α and β:

α = 180° - 35° = 145°

β = 180° - 30° = 150°

Now, using the Law of Sines, we can set up the following ratios:

sin(α) / x = sin(β) / y

Solving for y, we get:

y = (sin(β) / sin(α)) * x

Substituting the known values, we have:

y = (sin(150°) / sin(145°)) * x

Using a calculator, we can evaluate the sin(150°) and sin(145°) to get:

y = (0.5 / 0.996) * x

y = 0.501 * x

Since the two stations are 14 miles apart, we know that x + y = 14.

Substituting the value of y from the previous equation, we have:

x + 0.501 * x = 14

1.501 * x = 14

x = 14 / 1.501

x ≈ 9.33

Now, to find the value of y, we can substitute the value of x into the equation:

y = 0.501 * x

y = 0.501 * 9.33

y ≈ 4.67

Therefore, the fire is 9.33 miles from Station A and 4.67 miles from Station B.

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The fire is approximately 38.7 miles away from station A and 38.4 miles away from station B.

To solve this problem, we can use trigonometry and create a diagram to visualize the situation.

Now, let's label the diagram. We'll use the following labels:

A: Fire-lookout station A

B: Fire-lookout station B

F: Fire's location

Next, we need to determine the angles and distances involved. From the problem statement, we know the bearing of the fire from station A is N 35° E, and the bearing of the fire from station B is N 30° W. Let's mark these angles on the diagram.

To find the distance of the fire from each station, we can consider the angles formed between the stations and the fire. The sum of these angles should be 180° since we have a straight line. Let's find the missing angles by subtracting the given angles from 180°.

For station A:

Angle A = 180° - 35° = 145°

For station B:

Angle B = 180° - 30° = 150°

Now, let's draw lines from each station to the fire, and label the distances as dA and dB.

We can use trigonometry (specifically, the tangent function) to find the distances dA and dB. Tangent of an angle is equal to the opposite side divided by the adjacent side.

For station A:

tan(145°) = opposite side (dA) / adjacent side (14 miles)

dA = 14 * tan(145°)

For station B:

tan(150°) = opposite side (dB) / adjacent side (14 miles)

dB = 14 * tan(150°)

Now, let's calculate these distances using a calculator.

dA = 14 * tan(145°) ≈ 38.7 miles

dB = 14 * tan(150°) ≈ 38.4 miles

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Answer:

Step-by-step explanation:

Mean income of 99 people = $ 400

Sum of income of 99 people = 400 * 99 = $ 39600

Income of a woman = $ 1500

Income of 100 people = 39600 + 1500 = $41100

Mean of 100 people = 41100/100 = $411

411 - 400 = $11

Mean income increases by $11

Answer: the answer is in the steps.

Step-by-step explanation:

6.25h ≤ 125.00

Answer:

option 2

452.16

You would need to use this equation...

V=πr²h

3.14 * (4)² * 9

= 452.16 cm³

Answer:

y

Step-by-step explanation:

y\

Answer: 6.53 on khan academy

Step-by-step explanation:

x + y = 198

y = 1.20 x

x + 1.2 x = 198

2.2x = 198

x = 198/2.2 = 90

y = 198 - 90 = 108

Answer: 90 and 108

Answer:

108 and 90

Step-by-step explanation:

let the two numbers be x and y

from the question let y be the greater number

therefore, y = 20%x +x

y=20/100x + x

y=(20x+100x)/100

y=120x/100

y=1.2x

from the question

x+y=198______(1)

x+1.2x=198

2.2x=198

x=198/2.2

x=90

from (1)

x+y=198

90+y=198

y=108

x=90 y=108

Answer:

Isosceles

Step-by-step explanation:

Two sides are equal to each other and not the same length as the other side, so it'd be an isosceles triangle.

Answer:

y/x = 1

Step-by-step explanation:

sin 45 = cos 45 = y /1 = x/1

so y = x

or y/x =1

Answer:

0.20035667433

Step-by-step explanation:

Answer:

0.20035667433 , is the answer.

Step-by-step explanation:

Honestly whenever it comes to pi in maths , you can usually always use a calculator so on a calculator write in 'pi (5.6) *squared* x 2'

Answer:

LM = 36

Step-by-step explanation:

A quadrilateral is a shape with 4sides. There are different type of quadrilateral such as square, rectangle, trapezium, parallelogram, kite and rhombus.

Perimeter of a quadrilateral is the addition of all 4 sides.

Since the shape is not specified neither is there a diagram, let's assume the quadrilateral is a square.

See attachment for diagram used in solving the question.

Perimeter of square = length+ length+ length+ length

= 4× length

Perimeter of quadrilateral ABCD:

640 = 4×length

Length = 640/4

Length = 160

Perimeter of quadrilateral LMNO:

144 = addition of all 4 lengths

144 = LM + MN + NO +OL

Since we are considering a square all the sides are equal.

LM = MN = NO = OL

144 = 4×LM

LM = 144/4

LM = 36

Answer:

The z-score of a 65-mph speed limit is -0.75

Step-by-step explanation:

Here, we want to calculate the z-score

To calculate the z-score, we make use of the z-score formula

Mathematically;

z-score =(x-mean)/SD

from the question we identify the values as x = 65 mph, mean = 71 mph, Standard deviation(SD) = 8 mph

Plugging these values into the equation above, we have

z-score = (65-71)/8 = -6/8 = -0.75

Answer:

she is expected to hit 18 out of the 30 pitches

Step-by-step explanation:

In this question, we are required to use experimental probability to make a prediction.

From the hits she has today, we can estimate the number of hits she might be getting tomorrow.

Since she made 12 hits out of 20 today, the probability that she has a hit will be 12/20 = 3/5

Now if she is having 30 pitches tomorrow, the expected number of hits would be the probability of getting a hit multiplied by the total number of pitches.

That would be 3/5 * 30 = 18 pitches

Answer:

She earns £11 per hour

Step-by-step explanation:

You divide £440 with 5 days of the week and then you get how much she earns in a day. And then you devide with 8 and u get £11.

Caroline will earn £11 for working per hour.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that caroline works 8 hours a day 5 days a week she earns £440 each week.

The earnings for an hour will be calculated as,

Total hours = 8 x 5 = 40 hours

Earning per hour = £440 / 40

Earning per hour =  £11

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Answer:

12,852

Step-by-step explanation:

V= l*w*h

V=17*18*42

V= 12,852

just add.................

197 + 27 = 224

hope this helps

Answer:x^2=2^2+4^2. x=4.47

Step-by-step explanation:

Opposite=m=2

Adjacent=n=4

Hypotenuse=x

x^2=m^2+n^2

x^2=2^2+4^2

x^2=4+16

x^2=20

x=√20

x=4.47

Answer:

[tex]20943.96 ft^3[/tex]

Step-by-step explanation:

The silo is shaped as a cylinder with a hemisphere on top of it.

We need to find the volume of the shape.

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius

h = height

The volume of a hemisphere is given as:

[tex]V = \frac{2}{3} \pi r^3[/tex]

where r = radius

Therefore, the joint volume of both shapes is:

[tex]V = \pi r^2h + \frac{2}{3} \pi r^3[/tex]

The height of the silo is 60 and the diameter is 20.

This means that the radius is 10.

The cylindrical part of the silo and the hemispherical part have the same radius, 10.

The volume of the silo is:

[tex]V = \pi * 10^2 * 60 + \frac{2}{3} * \pi * 10^3\\ \\V = 18849.56 + 2094.40\\\\V = 20943.96 ft^3[/tex]

The volume of the silo is [tex]20943.96 ft^3[/tex]

Domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

9*70

Step-by-step explanation:

It is not 9+70 or 9+60 because for this problem multiplication is required.

This problem seems to want you to round to the nearest ten's place.  Because the one's place in 68 is above 5, the number will round up.

This means that the answer will be 9*70

Answer:

9*70

Step-by-step explanation:

Answer:

wholesome!!! brainliest pls :)

Answer:

wholesome

Step-by-step explanation:

you take away the first word which is whole

and u still have the word some left over

hope this helped if this isnt what ur looking for plz tell me

Answer:

No

Step-by-step explanation:

If segment AB is tangent to the circle, then angle CBA will be a right angle, making triangle ABC a right triangle. If triangle ABC is a right triangle, it's sides will fit the Pythagorean theorem...

(leg)^2 + (leg)^2 = (hypotenuse)^2

Does 8^2 + 16^2 = 19^2 ?

64 + 256 does not equal 361!

Triangle ABC is NOT a right triangle, so segment AB is not tangent to the circle.

Answer:

55°

Step-by-step explanation:

Using cosine law

67² = 74² + 14² - 2(74)(14)cos(L)

cos(L) = 169/396

L =55.18378419

The measure of angle L to the nearest degree is 55°.

Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,

a² = b² + c² - 2bc cos(A)

Given, for a triangle JKL,

j = 74 inches, k = 14 inches and l = 67 inches.

We can use law of cosines to find the measure of angle L.

Using the law of cosines,

l² = j² + k² - 2jk cos(L)

67² = 74² + 14² - (2×74×14) cos(L)

4489 = 5476 + 196 - 2072 cos(L)

4489 = 5672 - 2072 cos(L)

-1183 = - 2072 cos(L)

cos (L) = 0.5709

L = 55.18° ≈ 55°

Hence the measure of angle L is 55°.

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Answer:

six

Step-by-step explanation:

3x6=18 and 3+3+6+6= 18.

Answer:

Step-by-step explanation:

The ratio between the volume of the small cone to that of the frustum is 1:1.

Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.

Answer:

[tex]8\frac{1}{2}[/tex] cups

Step-by-step explanation:

To determine the quantity of snack mix Jared guest ate, we multiply the quantity of snack mix the guest ate by the quantity of snack mix Jared made. i.e we determine [tex]\frac{2}{3}of12\frac{3}{4}[/tex] by multiplying both fractions together

quantity of snack mix Jared guest ate = [tex]\frac{2}{3}of12\frac{3}{4}=\frac{2}{3}*12\frac{3}{4}=\frac{2}{3}*\frac{51}{4}=\frac{17}{2} =8\frac{1}{2}[/tex]