The longer leg of a right triangle has a length of 15. One angle in the triangle is 60 degrees. What is the length of the shortest leg?

Answers

Answer 1

The shortest side of a right triangle with a hypotenuse of 15 and one angle of 60° is 7.5

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given that the longer leg of a right triangle has a length of 15, hence hypotenuse = 15. One angle in the triangle is 60°. Let x represent the shortest side.

The shortest side is adjacent to the 60° angle, hence:

cos(60) = x / 15

x = 7.5

The shortest side of a right triangle with a hypotenuse of 15 and one angle of 60° is 7.5

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Answer 2

Answer:

Step-by-step explanation: Took the practice test

The Longer Leg Of A Right Triangle Has A Length Of 15. One Angle In The Triangle Is 60 Degrees. What

Related Questions

A mountain climber records her altitude and the surrounding temperature at various points as she ascends a mountain. She then plots the points on a scatter plot and draws a line of best fit. The equation of the line is y=−3.6x+59 , where x is the altitude in thousands of feet and y is the temperature in degrees Fahrenheit (°F). What does the slope of the equation represent in this scenario?

Answers

Answer:

-3.6

Step-by-step explanation:

The general equation of a straight line formula is represented as y = mx + c, where m is the gradient or slope of the line and c is called the intercept on the y-axis.

The equation of the line in the question above is y= −3.6x + 59 ,

Therefore comparing both equations together,

y = mx + c = y = −3.6x + 59

m = -3.6

Therefore, the slope of the equation represent in this scenario is -3.6

Help plssss I’ll give BRAINLIEST

Answers

Answer:

(D) Side-Angle-Side, SAS

Step-by-step explanation:

Merry Christmas to everyone who sees this! I hope that everyone is doing well at this time. It may be rough, but know that we can get through this together!!✨❤️

Answers

Answer:

:)))))

Step-by-step explanation:

╰(*°▽°*)╯༼ つ ◕_◕ ༽つ^3^:-3(✿◡‿◡)(*^-^*)(´▽`ʃ♡ƪ)(●ˇ∀ˇ●)(❁´◡`❁)♪(^∇^*)( *︾▽︾)o((>ω< ))o

PLEASE HELP ASAP WILL GIVE BRAINLIST

Answers

iffx=3x−4findf1x0

Step 1: Add -3x to both sides.

f2ix+−3x=−4df2in+3x+−3x

f2ix−3x=−4df2in

Step 2: Factor out variable x.

x(f2i−3)=−4df2in

Step 3: Divide both sides by f^2i-3.

x(f2i−3)

f2i−3

=

−4df2in

f2i−3

x=

−4df2in

f2i−3

Answer:

x=

−4df2in

f2i−3

Marcus needs to bike at least 80 miles this week for his training.If he has already biked 25 miles this week ,then how many miles should he bike on each of the 5 remaining days this week?

Answers

Answer:

11

Step-by-step explanation:

So if he already biked 25 miles we can subtract 80 and 25 which will get a total of 55. if we divided 55 miles to the rest of the 5 days he will have to bike 11 miles each day

Where is -1 3/8 on a number line?

Answers

Answer:

1.4

Step-by-step explanation:

Determine the intercepts of the line.
-5x-4y=10−5x−4y=10

Answers

Answer:

x=4y/5-2

Step-by-step explanation:

Add 4y to both sides.

−5x=10+4y

The equation is in standard form.

−5x=4y+10

Divide both sides by −5.

−5

−5x

=

−5

4y+10

Dividing by −5 undoes the multiplication by −5.

x= −5

4y+10

Divide 10+4y by −5.

x=− 5/4y

−2

The required intercepts of the given equation is x = -2 and y = -2.5.

What is the intercept?

Distance from the origin to points where a line crosses an axis is known as the x-intercept and the y-intercept, respectively.

Here,
Given the equation of the line,
-5x-4y=10

Now, in order to determine the intercepts of the equation put x = 0 and y = 0 individually,

So,
x = 0
-4y = 10
y = -2.5

Now, put y = 0
-5x = 10
x = -2

Thus, the required intercepts of the given equation is x = -2 and y = -2.5.

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The mean number of independent-reading books read by the 4 eighth-grade students shown in the scatterplot is the same as the mean number of independent-reading books read by all 62 eighth-grade students in the school last year. In total, how many independent-reading books were read by all eighth-grade students at Wilson School during the last school year? A) 992 C) 1240 B) 1116 D) 1271​

Answers

Answer:

it is c

Step-by-step explanation:

A magician's assistant makes $10.60 an hour. If he has already saved $53.70, how many hours must he work in order to save at least $165?

Answers

Answer: According to my calculations the answer is 10.5 hours

Step-by-step explanation:

please mark me brainliest

Find the slope and constant of

y=2x-5

Answers

Answer:

Slope: 2

Step-by-step explanation:

Solve by completing the square: x^2+3x-9=0

Answers

Step-by-step explanation:

x=-4.854 or x=1.854

hope this helps

Answer:

C edge 2020

Step-by-step explanation:

i got it right on the practice.

Sarah buys a package of 500 jewelry to decorate for different pairs of jeans she uses the same number of Jewelry each pair of jeans how many jewelry well she use for each pair of jeans

Answers

When Sarah buys a package of 500 jewelry to decorate four different pairs of jeans, the number of jewelry fur each pair is 125 jewelries.

How to illustrate the information?

It should be noted that Sarah buys a package of 500 jewelry to decorate 4 different pairs of jeans and it was stated that she uses the same number of Jewelry each pair of jeans.

Therefore, it should be noted that the number of jewelry that she will use for each pair of jeans will be:

= Number of jewelry / Number of jeans

= 500 / 4.

= 125

Therefore, when Sarah buys a package of 500 jewelry to decorate four different pairs of jeans, the number of jewelry fur each pair is 125 jewelries.

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Sarah buys a package of 500 jewelry to decorate 4 different pairs of jeans she uses the same number of Jewelry each pair of jeans how many jewelry well she use for each pair of jeans

Simplify 5c-6d+4c+3d

Answers

Answer:

9c - 3d

Step-by-step explanation:

5c-6d+4c+3d

Gather the like terms,

5c + 4c - 6d + 3d

9c - 3d

Hope it helps!<3

Simplifying

5c + -6d + 4c + 3d = 0

Reorder the terms:

5c + 4c + -6d + 3d = 0

Combine like terms: 5c + 4c = 9c

9c + -6d + 3d = 0

Combine like terms: -6d + 3d = -3d

9c + -3d = 0

Solving

9c + -3d = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '3d' to each side of the equation.

9c + -3d + 3d = 0 + 3d

Combine like terms: -3d + 3d = 0

9c + 0 = 0 + 3d

9c = 0 + 3d

Remove the zero:

9c = 3d

Your answer: 9c=3d

What is the slope of the line that passes through the points (6, 7) and (4, 1)?

Answers

Answer:

The answer is 3 Hope this help :)

Step-by-step explanation:(6,7) (4,1)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{1-7}{4-6}[/tex]

[tex]\frac{-6}{-2}[/tex]

x=3

5m-4 if m=6
Evaluate

Answers

Answer:

When m = 6, 5m - 4 = 26.

Step-by-step explanation:

[tex]f(x)=5m-4[/tex]

Substitute:

[tex]f(6)=5(6)-4[/tex]

Multiply:

[tex]f(6)= 30-4[/tex]

Subtract:

[tex]f(6)= 26[/tex]

When m = 6, 5m - 4 = 26.

Answer:

Today: Monday, 14 December 2020

Hour: 9.20 PM

____________________________

[tex] \tt \: 5m \: - 4 \\ \tt \: \: \: = 5(6) - 4 \\ \tt = 30 - 4 \\ \tt \: = 26[/tex]

[tex]{\pink{\boxed{\orange{\boxed{\blue{i \: hope \: this \: help}}}}}}[/tex]

What is the estimate sum of 208

Answers

Answer:

210

Step-by-step explanation:

Round the 208. 8 is closer to 10. so, it would ultimately round up to 210

Find the unknown number in the equation 13 x 4 = n x 26. (4 points)
2
4
16
20


Will be marked as brainlist!

Answers

Answer:

2

Step-by-step explanation:

13 × 4 = 52

52 ÷ 26 = 2

13 × 4 = 2 × 26

n = 2

4cm
4cm
area -
9cm
acm
12cm
12cm
6cm
\ 14cm​

Answers

Answer:

162

Step-by-step explanation:

I started with the left I did it like a rectangle 4×12=48

because both sides are like that 48×2=96 for the middle 12-9=3 I did that because I needed to know the sides of this new rectangle so now 3×6=18 now we need to add them together to get the area 48+96+18=162

It's been a while, since I've done this, I'm not completely sure

will list u brainlest if you answer A.S.A.P

Answers

Answer:

1 and 1/8

Use common denominators:

5/8 - 4/8

so the answer is the 4th one

Answer:1 1/8

Step-by-step explanation:

if Lakeisha has 3 5/8 yards of fabric and she needs just 2 1/2 yards for the dress we will subtract 3 5/8 - 2 1/2=

29/8 = 3 5/8                2 1/2=5/2 which can be written as 20/8 (we need to have common denominator)

29/8- 20/8=9/8 = 1 1/8

Determine the range of the following graph

Answers

Answer:

left to right (-11, 1) up and down (3,-6)

How many 3/4 pound packages can you make with 6.5 pounds of sunflower seeds?

Answers

Answer:

9 bags

Step-by-step explanation:

Weight each bag should be = 3/4 pound (0.75 pound)

Total weight of sunflower seeds available = 6.5 pounds

Number of packages made = 6.5/ 3/4

                                              = 8.66666666667

                                              = So 9 bags at the most

If you write 8, then  you wouldn't  be able to fit the other 0.5 pound and if you put 9, well you will have enough more space to put 6.5 pounds.

Hope this helps!!

Please mark brainliest !

In an isosceles triangle, the measure of a base angle is (2x+5)° . At the vertex the measure of an exterior angle is (5x-3)°
There will be an extention at the vertex

Answers

Answer:51.14

Step-by-step explanation:since its an isosceles triangle all interior angles are gonna be equal the exterior angle plus interior angle is will be kept equal to 360

2x+5+5x-3=360

7x+2=360

7x=358

x=51.14

The measure of each angle is 31, 31 and vertex angle is 118.

What is Exterior angle Property?

If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.

Given:

Base angle = (2x+ 5) and Vertex = (5x- 3)

So, We know that the exterior angle is equal to sum of opposite interior angle

5x- 3 = 2x+ 5 + 2x + 5

5x - 3= 4x + 10

x= 13

Thus, Each angle measure 2(13)+ 5 = 31 and

third angle = 180 - (5x- 3) = 180- 62 = 118

Hence, the measure of each angle is 31, 31 and vertex angle is 118.

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what is the domain of the square root function graphed below

Answers

Answer:

Domain is <-4,+∞)

X >= -4

Step-by-step explanation:

HELPPP!!! ASAPP!!!! FINALSSS!!!!

Answers

The answer to this question is D 7

Let f(x)=3x2+2x−3. What is f(3)?

Answers

Answer:

f(3) = 30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x² + 2x - 3

f(3) is x = 3

Step 2: Evaluate

Substitute in x:                    f(3) = 3(3)² + 2(3) - 3Exponents:                          f(3) = 3(9) + 2(3) - 3Multiply:                               f(3) = 27 + 6 - 3Add:                                     f(3) = 33 - 3Subtract:                              f(3) = 30

*4. On Saturday, a minor league baseball team gave away baseball cards to each person entering the stadium. One group received 28 baseball cards. A second group received 68 baseball cards. If each person entering the stadium received the same number of cards, what was the greatest number of baseball cards that each person could have received?

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The greatest common factor of 28 and 68 is 4.

  28 = 4×7

  68 = 4×17

Each person could have received 4 baseball cards.

HELP SOMEONE
Steven is going to mail some gifts to his family members. This graph shows the weights of the packages.

Answers

The heaviest package is 2 (7/8) heavier than the lightest package.

What is a dot plot?

A dot plot is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.

We have,

From the given dot plot,

we see that there is one gift that weighs 1/8 pounds which is the lightest package.

The weight of the lightest package is:

= 1/8 pounds

we see that there are 4 gifts that weigh 6/8 pounds for each gift which is the heaviest package.

The weight of the heaviest package is:

= 4 x 6/8

= 3 pounds

The difference between the weight of the heaviest package with the lightest package is:

= 3 - 1/8

= (24 - 1) / 8

= 23/8

= 2 (7 / 8) pounds

Thus the heaviest package is 2 (7/8) heavier than the lightest package.

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A student wants to prove that the base angles of an isosceles triangle are congruent. The student draws isosceles triangle ABC with base angles B and C.

Point M is drawn as the midpoint of BC.

Which of the following could be used as part of the proof that B = C? Select all that apply

Answers

Answer:

BM=CM bc of the definition of midpoint

AB =AC bc of the def of an isosceles triangle

and angle B = angle D becasur corresponding parts

Step-by-step explanation:

Help please ASAP!! ​

Answers

both are irrational. i hope this helps!

can you help me with this.

Answers

Answer:

i cant see but yes ill comment the answer when i download the file

Step-by-step explanation:

Answer:

The answer is "y = 1/4x + 16

Step-by-step explanation:

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