In Springfield, the library is 24 kilometers due south of the courthouse and 32 kilometers due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool?

Answer:

Sam and his friend will each get 7/16 of a pound of coffee

Step-by-step explanation:

7/8 × 1/2 = 7/16

Answer:

m∠A = 120°

m∠C = 45°

Step-by-step explanation:

all triangle angles add up to 180

(12x + 12) + 15 + (3x +18) = 180

15x + 45 = 180

15x = 135

x = 9

m∠A = (12x + 12) = 12(9) + 12 = 120

m∠C = (3x +18) = 3(9) + 18 = 45

Answer:

It would be D

Step-by-step explanation:

Answer:

X=-2

Step-by-step explanation:

4x-4=-12

Add 4 on both sides

+4 +4

4x=-8

Divide by 4 on both sides

÷4 ÷4

X=-2

Answer:

-2

Step-by-step explanation:

4x-4=-12

4x=-12+4

4x=-8

x=-8/4

x=-2

Answer:

The first one

Step-by-step explanation:

3/5 and 9/25

Answer:

[tex] \frac{9}{\pi} = 4 \times \pi \times {r}^{2} \\ {r}^{2} = \frac{9}{4 {\pi}^{2} } \\ r = \frac{3}{2\pi} \\ volume = \frac{4}{3} \times \pi \times {r}^{3} \\ v = \frac{4}{3} \times \pi \times \frac{27}{8 {\pi}^{3} } \\ v = \frac{9}{2 {\pi}^{2} } [/tex]

Answer:

the answer is 1188

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

Answer:

no, it is not

if it were a right triangle, 10² + 17² = 18²

but this is not the case

Step-by-step explanation:

we would use Pythagoras theorem to determine if it is a right angle

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 17² =

100 + 289 = 389

square root of 389 is 19.72 and not 18. thus, it is not a right triangle

Answer:

B) 13

Step-by-step explanation:

Average age means to calculate mean:

Mean = (Sum of all numbers)/(Number of numbers)

Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8

Mean = (104)/8

Mean = 13

Answer:

B. 100 pi units squared

Step-by-step explanation:

Find the surface area of a sphere with radius 5 using the formula SA=4pir²

Leave answer in terms of π = pi

From the question

The formula for the Surface Area if a square = 4 × pi × r²

r = 5

Hence,

Surface Area of a Sphere = 4 × pi × 5²

= 100 pi units squared

Option B is the correct option

The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.

In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.

Answer:

Kindly check explanation

Step-by-step explanation:

Firstly, we need to write out values if the dataset :

Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.

For the stem plot attached :

Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The mean :

Σx / n

n = sample size = 10

= 225 / 10

= 22.5

Arranging data on ascending order :

08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The median :

1/2(n+1)th term

1/2(11)th term = 5.5 th term = (5+6)th term / 2

Median = (19+22)/2 = 20.5

Mode = all dataset (since they all occur once).

Range = (maximum - minimum) = 40 - 8 = 32

Interquartile range : (Q3 - Q1)

Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term

Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33

Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term

Q1 = (12+17)/2 = 14.5

Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5

Answer:

Median: 11

Mode: 3

Range: 30

Step-by-step explanation:

Just took the test :D

if u know what the sqare root which is 3.32 than it will lie between 2 and 4

The value of x in the triangle is approximately 7.2 to the nearest tenth.

To determine the value of x in the triangle, we can use the trigonometric ratio of tangent (tan).

We are Given that one angle of the triangle is 46 degrees and the adjacent side to this angle is 7, we need to find the length of the opposite side (x).

The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

tan(46°) = x/7

Take the tangent of both sides of the equation:

tan(46°) = x/7

Multiply both sides by 7 to isolate x:

7 x tan(46°) = x

Use a calculator to find the tangent of 46 degrees:

tan(46°) ≈ 1.0355

Multiply 7 by the approximate value of the tangent:

7 x 1.0355 ≈ 7.249

Rounding the value of x to the nearest tenth, we find that x ≈ 7.2.

Therefore, to the nearest tenth, the value of x in the triangle is approximately 7.2.

Learn more about trigonometric;

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The value of x to the nearest tenth is approximately 5.0.

To find the value of x, we can use the trigonometric relationship of the sine function in a right triangle. In this case, we have an angle of 46 degrees and the opposite side x.

The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. However, in this case, we don't know the length of the hypotenuse, but we can still find the value of x using the adjacent side.

Let's label the angle of 46 degrees as A, the adjacent side as B, and the opposite side as C.

sin(A) = C / B

sin(46°) = x / 7

To find the value of x, we can rearrange the equation:

x = 7 * sin(46°)

Using a calculator, we can evaluate sin(46°) and calculate the value of x:

x ≈ 7 * 0.7193

x ≈ 5.0351

for such more question on right triangle

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- 8 + 6 = - 2

Step-by-step explanation:

-2 = [-8] + 6

-TheUnknownScientist

Answer:

33°

Step-by-step explanation:

cos(x) = 21/25

[tex]cos^{-1}(21/25)[/tex] ≈ 32.86°

to the nearest whole number, that would be ≈ 33°

Answer:

Step-by-step explanation:

Equation for this relationship:

Number of views in 5 weeks:

Answer:

10.0 centimeters

Step-by-step explanation:

I took the test

Answer:

23s-7

Step-by-step explanation:

17s-10+3(2s+1)

17s-10+6s+3

23s-7

Step-by-step explanation:

4. E=-6

-9

multiply both sides by the LCM=-9

-9 × (e) = -6×-9

-9

therefore the LCM will cancel I out the denominator

e = -6×-9

e= -54

5. K =2

12

multiply through by the LCM=12

12×(k)=2×12

12

cross out

k=24

6. m=-10

6

multiply through by the LCM=6

6×m=-10×60

6

cross out

m=-60

So follow suit

Step-by-step explanation:

1. Oblicz:

a) Liczbę o 15% mniejszą od 60

b) Liczbę, której 15% stanowi 60

c) Jakim procentem 60 jest 15

d) O ile %większa jest 60 od 15

2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?

3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?

4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?

Answer:

Use Pythagoras Theorem

Answer:

3.4%

Step-by-step explanation:

Find the percent increase by dividing the difference in the temperatures by the original temperature, then multiplying it by 100:

((362 - 350) / 350) x 100

(12 / 350) x 100

= approximately 3.4

So, the percent increase in temperature was approximately 3.4%

Answer:

10

Step-by-step explanation:

Because x=4 you have to plug it into the equation

3(4)-2=

12-2=

=10

Answer:

y = 2x - 3

Step-by-step explanation:

Since the line is going 2 down and 1 left. The slope is 2.

The line crosses the y-intercept at -3.

y = 2x - 3

Answer:

m = 2

Step-by-step explanation:

You have to use the slope formula and insert your points into the formula. Your formula should have turned into 0 - (-3)/1.5 - 0. If you simplfy your equation your get m(slope)=2.

Hope this helps! :D

-Luna

Answer:

sector GPH = 16π yd²

Step-by-step explanation:

area of full circle = πr² = (π)(12²) = 144π yd²

area of 40° segment = (40/360)(144π) = 16π yd²

Answer:

it is 8

Step-by-step explanation:

Answer:I just got 8 and 64 thats all I got not sure if its gonna be correct for the 64 but for 8 I'm positive about it.

Step-by-step explanation: