Sarah biked 13 miles south from her house to the library. Then she turned and biked 10 miles
east to the grocery store. Finally, she returned home using a straight path. What was the total
distance she traveled?

Answer:

n = 2

Step-by-step explanation:

sin 30° = ½

tan 45° = 1

then

sin 30° : tan 45° = 1 : n

½ : 1 = 1 : n

n = 2

The value of n for the trigonometric expression will be n = 2

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the ratio sin 30°: tan 45º can be written in form 1: n. The value of n will be calculated as:-

sin 30° = ½

tan 45° = 1

Then,

sin 30° : tan 45° = 1 : n

½ : 1 = 1 : n

n = 2

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Answer: B

The diameter is 3, so you have to divide by 2 to get the raduis. After that just plug in the height and radius and that's your answer!

Hope this helped you!

Answer:

Lateral surface area = 280 square inches

Step-by-step explanation:

Lateral surface area of a prism = (Perimeter of the base) × height of the prism

Perimeter of the base = 8 + 15 + 17

                                     = 40"

Height of the prism = 7"

Therefore, Lateral surface area of the prism = 40 × 7

                                                                         = 280 square inches

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x3x4= [tex]60{m3}[/tex]

Answer:

a. 3 5/6

b. 5 1/7

Step-by-step explanation:

Answer:

5.83333333333
5.14285714286

Step-by-step explanation:

Answer:p=12

Step-by-step explanation:

(9p)+(p+21)+(p+27)=180

9*12=108

12+21=33

12+27=39

108+33+39=180

so p=12

Answer:

$2.54

Step-by-step explanation:

You divide 28 by 11 and you get 2.54545454545, which you can just sum down to 2.54 (I think thats right)

Answer:

The slope of a line parallel to the given line = 5

The slope of a line perpendicular to the given line = - 1/5

Step-by-step explanation:

Answer:

1.The formula to convert Celsius to Fahrenheit is:

F = 1.8 C + 32

Multiply the Celsius temperature by 1.8.

Add 32 to this number.

Report the answer in degrees Fahrenheit.

Example: Convert 20°C to Fahrenheit.

F = 1.8 C + 32

F = 1.8 (20) + 32

1.8 x 20 = 36 so F = 36 + 32

36 + 32 = 68 so F = 68°F

20°C = 68°F

2.9.92

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

In the 52-card pack, 13 cards are diamond cards.  Thus, the probability of drawing a diamond card is 13/52, or 0.25.

Answer:

uhm. picture?

Step-by-step explanation:

Answer:

u didnt add it

Step-by-step explanation:

Answer:

y = -35

Step-by-step explanation:

y=7 * -5

7 *-5 = -35

y = -35

Answer:

-8≤k≤1

Step-by-step explanation:

k²+7k-8≤0

(k+8)x(k-1)≤0

k1= -8

k2= 1

-8≤k≤1

Answer:

a) 412.5g

b)23m²

Step-by-step explanation:

a)18m²=675g

11m²=x

by cross multiplication,

18x=11×675

18x=7425

x=7425/18

x=412.5g

b)18m²=675g

y=862.5g

18×862.5=675y

15525=675y

15525/675=y

y=23m²

Answer:

Step-by-step explanation:

This is a rate problem so using ratios is a good way to calculate the answer for different areas or amounts

     675 g per 18 m²       675/18     g/m²

a)  How many grams for 11m²

     675/18  g/m²   =   ??? / 11 m²            i cross multiply 675 times 11 divide by 18

                                                         or more simply multiply both side by 11

                                                         solving for the ???

            (675)(11) g m² / 18 m²  =  ??? g    =  412.5 grams    ( the m²/m² cancel)

b)  what area can be fertilised with 862.5 g?         again applying ratio

      this time we know the g and want to calculate an unknown area

      675 / 18  = 862.5  / ???        this will take one more step since the ??? is

                                                    in the denominator

      18 / 675  =  ??? / 862.5       I just inverted both sides

      18m² / 675g = ??? / 862.5g      again simply multiply both sides by 862.5g

     (18m²)(862.5g) / (675g) = ???          this time the grams cancel leaving m²

                                 ???   =   23 m²

Answer:

The answer is: 15

Step-by-step explanation:

......

Answer:

13/24 or 54%

Step-by-step explanation:

There are 24 students in total. Total will also be the denominator. Add 6 + 7 to find the amount that play the sports. Insert the number (13) as the numerator. Divide 13 by 24 if you need to find the percent!

Answer: 11/24

Step-by-step explanation:

2+5+4 =11

Expect the 13 person/students didn't play

Total people 24

24-13=11

11/24

Answer:

Step-by-step explanation:

Triangles EFG and FGH are similar.

x/15 = 36/39

x/15 = 12/13

x = 15*12/13 = 180/13 ≈ 13.8 units

The required measure of x is given as 5.8 in the given triangle.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.

Similar triangles are triangle that has a relationship as of some scale factor.

here,
From the figure,
From triangle GHF and triangle EGF
x / 15 = 15 / 39
x = 225 / 39
x = 5.8

Thus, the required measure of x is given as 5.8 in the given triangle.

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Answer:

the discount is 43.35 or the final price $7.65

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 51 × 85/100

Discount = 51 x 0.85

You save = $43.35

Final Price = Original Price - Discount

Final Price = 51 - 43.35

Final Price = $7.65

Answer:

y=3x-1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y=3x-1

have a nice day ! :)

Answer:

Step-by-step explanation:

[tex]sin\theta =\frac{opposite\ side}{hypotenuse}\\ \\ sin37^o=\frac{6}{10}[/tex]

Answer:

1st most = 8.43 inches

2nd most = 5,426 Seconds

3rd most = 1580 meters

4th most = 1500 grams

Step-by-step explanation:

8.43 inches = 0.7025 feet is most precise as it rounded to 0.7 feet it wouldn't be precise enough.

5,426 Seconds =  01:30:26. hrs mins sec can be converted.

1580 meters = 1.58 km = 158000cm  hasn't been properly converted as zeros get lost.

1500 grams = 1.5kg hasn't been precisely converted as zeros get lost.

Answer:

10

Step-by-step explanation:

from -5 to 5 is a complete period. So the period is 10.

Answer:

Well, -1-126 (-12b - 6 + 9b - 18) equals 378b + 2023.

Step-by-step explanation:

Subtract numbers:

−1−126 (−12−6+9−18)

−1−126 (−12−24+9)

Combine like terms:

−1−126 (−12−24+9)

−1−126 (−3−24)

Then you'll have to distribute:

−1−126 (−3−24)

−1+378 + 3024

Hope this helps        :)

Answer:

9(6+7)

Step-by-step explanation:

Answer:

61.928 is angle C

Step-by-step explanation:

hope this helps

Answer:

Use the law of cosines.

Example:

c^2 = a^2 + b^2 - 2ab cosc

Answer:

The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y.

Answer:

4h+3

Step-by-step explanation:

3h+h+3

4h+3