In FGH,FH =7 ft,FG=12 ft and m

Answers

Answer 1

Answer:1) In Δ FGH,

FH=7 ft, FG=12 ft,

∠F=70 degrees

By "Law of cosines":

So,By applying Law of Sines , we get that

Hence, Option 'D' is correct.

2) In Δ XYZ,

XY=14, ∠Y=22°, and XZ=26

By using "Law of sines":

so, X = 147° , Y = 22° , Z = 11.6°

Step-by-step explanation:


Related Questions

If the point (-1.9, -2) is reflected across the x-axis, which quadrant will it be in?

Answers

Answer: im pretty sure it would be in the 2nd quadrant. cause its -1.9, -2 so that i think is in 3rd quadrant so reflected woud be in 2nd quadrant

hope this makes sense

Answer:

Quadrant 1

The since both of the coordinates are negative, they'll take place in Quadrant 3, so if it was the opposite (mirrored), they would both be positive making them be in Quadrant 1.

Kenji and Isabel are standing exactly opposite one another on the banks at the edge of either side of a 40 m wide river. Isabel turns and walks 13 m along the bank of the river. About how far apart is Isabel from Kenji after Isabel walks along the bank of the river? Enter your answer, rounded to the nearest meter, in the box.

Answers

Answer:

42

Step-by-step explanation:

40^2+13^2=x^2

1600+169=x^2

1769=x^2

1769−−−−√=x2−−√

±42≈x

Find the turning point of y=x^2+10x+12

Answers

Answer:

vertex = (- 5, - 13 )

Step-by-step explanation:

given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the turning point ( vertex) is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 10x + 12 ← is in standard form

with a = 1, b = 10 , then

x = - [tex]\frac{10}{2}[/tex] = - 5

substitute x = - 5 into the equation and evaluate for y

y = (- 5)² + 10(- 5) + 12 = 25 - 50 + 12 = - 13

turning point = (- 5, - 13 )

Fifty is a composite number. Use
a factor tree to find the prime
factorization of 50.

Answers

Prime factorization: 50 = 2 x 5 x 5, which can also be written 2 x 5².

Answer:

2*5*5

Step-by-step explanation:

50 ---> 25 * 2

25 = 5*5

50 = 2*5*5

Hope this helps :)

Have a nice day!

please help me find DE

Answers

You can split up the length of AE into the lengths of the line segments connecting adjacent points:

AE = AB + BC + CD + DE

Plug in everything you know and solve for DE :

9 = (2 1/2) + (4 1/3) + (1 2/3) + DE

Rewrite the mixed numbers as improper fractions with a common denominator.

2 1/2 = 4/2 + 1/2 = 5/2 = 15/6

4 1/3 = 12/3 + 1/3 = 13/3 = 26/6

1 2/3 = 3/3 + 2/3 = 5/3 = 10/6

9 = 54/6

So we have

54/6 = 15/6 + 26/6 + 10/6 + DE

⇒   DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2

(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)

In centimeters, what is the unknown length in this right triangle?
A right triangle with side length 60 centimeters, x, and hypotenuse of 61 centimeters.

Answers

Answer:

Given:-

Side length ( perpendicular = 60 cm)

Hypotenuse = 61 cm

To find :-

Base length

Solution:

By Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

61² = 60² + base²

3721-3600 = Base²

√121 = base

11cm = base

Answer:

Base = x = 11 cm

Step-by-step explanation:

In the question we are given ,

Side length ( Perpendicular ) = 60 cm

Hypotenuse = 61 cm

And we have asked to find the length of base that is denoted by x .

Solution : -

According to Pythagoras Theorem ,

[tex] \longrightarrow \purple{\boxed{H {}^{2} = P {}^{2} + B {}^{2} }} \longleftarrow[/tex]

Where ,

H = Hypotenuse

P = Perpendicular

B = Base

Now , substituting value of hypotenuse, perpendicular and base :

[tex] \hookrightarrow \: 61 {}^{2} = 60 {}^{2} + x {}^{2} [/tex]

Now by squaring 61 and 60 , we get :

[tex] \hookrightarrow \:3721 = 3600 + x {}^{2} [/tex]

Now transposing 3600 to left hand side :

[tex] \hookrightarrow \:3721 - 3600 = x {}^{2} [/tex]

Now subtracting 3600 from 3721 :

[tex] \hookrightarrow \:121 = x {}^{2} [/tex]

[tex] \hookrightarrow \: \sqrt{121} = x[/tex]

We know that 11 × 11 is equal to 121 that means square root of 121 is 11 . So :

[tex] \hookrightarrow \: \red{ \boxed{11 \: cm = x}}[/tex]

x = base

Henceforth, length of base of right triangle is 11 cm .

#Keep Learning

Help help help help math math

Answers

Answer: -4

Step-by-step explanation:

[tex]\frac{a}{4} +3=2[/tex]

Start by subtracting 3 from both sides

[tex]\frac{a}{4} +3=2\\\frac{a}{4} +3-3=2-3\\\frac{a}{4} =-1[/tex]

Now multiply each side by 4

[tex]\frac{a}{4} =-1\\\frac{a}{4}(4) =-1(4)\\a =-4\\[/tex]

Solve 4\left| {x + 5} \right| + 8 = 244∣x+5∣+8=24.

Answers

Isolate the absolute value term:

4 |x + 5| + 8 = 24

4 |x + 5| = 16

|x + 5| = 4

By definition of absolute value,

• if x + 5 ≥ 0, then |x + 5| = x + 5, and so

x + 5 = 4

x = -1

• otherwise, if x + 5 < 0, then |x + 5| = -(x + 5), and so

-x - 5 = 4

-x = 9

x = -9

Write the multiplication equation that represents the model

Answers

Answer:

2/3 × 2/5 = 4/15

Step-by-step explanation:

see image. If you just look at the horizontal lines the rectangle is divided into thirds. Two of the sections are highlighted indicating 2 out of 3, or 2/3.

If you then consider the vertical lines. There are 5 sections and 2 out of the 5 are highlighted indicating 2/5.

When you overlap both images (which is what the original image you posted was) you get a small section that is doubly highlighted. In your original image it is kind of purple (I marked them in yellow) In the double-layered image, there are 15 small sections. 4 are highlighted (double-highlighted) This is 4/15.

2/3 × 2/5 = 4/15

I supposed it could also be

2/5 × 2/3 = 4/15

Numerically, these are the same. They have the same result. I hope this helps!

How many pounds is 3/12 and 1/12?

Answers

Answer:

Step-by-step explanation:

Remark

This is just a matter of adding 2 fractions and reducing the result

Givens

f1 = 3/12

f2 = 1/12

Equation

Answer = f1 + f2

Solution

answer = 3/12 + 1/12

The denominators are the same. The answer will have the same denominator

Answer = (3 + 1)/12

Answer = 4 / 12

The answer has a common factor in both the top and bottom of the fraction (4 is the common factor).

Therefore divide the top and bottom by 4

Answer = 4/4 // 12/4

Answer = 1 / 3

Question 8 of 10
If a student answered 69 exam questions correctly out of 100, what fraction
and what percentage of questions did the student answer incorrectly?
Choose two answers. Need help ASAP
A.
30/100

B. 0.69%
C. 31%
D. 69%
E. 31/100
F. 69/100

Answers

Answer: I believe B and F

Step-by-step explanation:

I think it is E
Hope this help?!

Find the measures of the angles in each triangle.

Answers

Answer:

55°

Step-by-step explanation:

so,area of a triangle is equal to 180°which means:(x-2)° + x° + 72° =180°take 72° to the other side and it will be negative(x-2)°+x°=180°-72°=108x-2+x=108x+x=1102x=110x=55

I hope that helps

Please please help!!! will give brainliest

Answers

Answer: i think the answer is 116. if it is not i am terribly sorry.

Step-by-step explanation:

Variability ? I'm confused

Answers

Variability in statistics… Let's see...dispersion is the degree to which a percentage is stretched or even squeezed. Some examples of measures of statistical “dispersion” ( or distribution) are the variance, standard deviation, and interquartile span. Like when the variance of data in a set is big; the data is gretaoy dispersed. (Variance is the measure of “variability” and for shorter terms of what I said, it is basically computed by taking the average of squared deviations from the thing.) hope I helped ask me for any questions I’m a 5th grader who likes science. Sorry I took to long to respond I had to look back at my notes for a better explanation.

Which expression is equivalent to the following complex fraction?

Answers

Answer:

[tex]\frac{2y-1}{3y+1}[/tex]

Step-by-step explanation:

[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] ( multiply numerator and denominator by y to clear the fractions )

[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] × [tex]\frac{y}{y}[/tex]

= [tex]\frac{2y-1}{3y+1}[/tex]

Jody is buying a scrapbook and sheets of designer paper. She has
$40 and needs at least $18.25 to buy the scrapbook. Each sheet of
paper costs $0.34.

How many sheets of paper can she buy?

Answers

Answer:

Step-by-step explanation:

$40 - $18.25 = $21.75

she has $21.75 to buy the paper with

21.75 divided by 0.34 is 63.971...

this means she only has enough money to buy 63 sheets of paper

leaving her with only 33 cents

Find the area of the regular 18-gon with Radius is 7 mm

Answers

Copie the link

Jajaj Josh’s but link.bio hope that helps

Question is in picture

Answers

Answer: Heat pollution.

If you are to search up

heat pollution occurs because?

the answer that will pop up is:

The main reasons of thermal pollution are industries and power plants, withdrawing water (a powerful sink for heat waste) from streams for cooling their generators and machines, and then releasing back into the water bodies, which elevates the temperature of freshwater habitats (Miara et al., 2018).

Please help me with this! 30 POINTS!

Answers

Answer:

B) -2⅛

Step-by-step explanation:

All other options are irrational

sin(α)=725 sin ( α ) = 7 25 and α is in quadrant II and cos(β)=8/7

Answers

Answer:

sin (α )= 72 5sin (α) = 725

Step-by-step explanation:

A recipe for potato salad calls for 3/4 cup of Mayo for 5 servings. How many cups of Mayo are neeed for 30 servings of potato salad?​

Answers

Answer:

[tex]\frac{9}{2}[/tex]

Step-by-step explanation:

cup of mayo used for 5 servings =  [tex]\frac{3}{4}[/tex]

cup of mayo used for 1 servings = [tex]\frac{3}{4}*\frac{1}{5}=\frac{3}{20}[/tex]

cup of mayo needed for 30 servings=  [tex]\frac{3}{20}*30=\frac{9}{2}[/tex]

A train travels 71 km in 28 minutes. what is its speed in kilometers per hour? 

Answers

Your answer is 152 1/7.

Simplifly the expression: x-3x-(-5x)

Answers

Answer:

The answer is 3x.

Step-by-step explanation:

I used a calculator

the final price of a book is $27 dollars. An 8% sales tax was added to the original price, then you used a coupon for 50% off. What was the original price of the book?

Answers

Answer:

14.58

Step-by-step explanation:

x\27 = 54/100 cross multiply then divide by 100% x=Original price

so then you'll get 14.58

Financial algebra -
Charles is 45 years old, and makes $40,000 per year. If he were to die, how
much would the beneficiaries of his life insurance policy receive if they can
get by on 60% of his income?

Answers

Answer: The Beneficiaries will get 24,000 dollars in total  

Step-by-step explanation:

1.) Step one is you would have to divide 40,000 by 60 because that will be how much they would get

2,) Step two is box you answer  

PLEASE ANSWER! WILL GIVE BRAINLIEST!

The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).

Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)

2. What is the measure of the sum of the angles in a triangle? (2 points)

3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)

4. What is the measure of a straight angle? (2 points)


5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)

Answers

1. m∠5 = 75° (corresponding angles theorem)

2. Sum of angles in a triangle = 180°

3. m∠3 = 55°

4. Straight line angle = 180°

5. m∠2 = 50°

What is the Corresponding Angles Theorem?

If two corresponding angles are formed when a transversal intersect parallel lines, they are both congruent based on the corresponding angles theorem.

1. m∠5 = m∠1 (corresponding angles theorem)

m∠5 = 75°

2. Sum of angles in a triangle = 180°

3. m∠3 + m∠4 + m∠5 = 180° (sum of triangle)

Substitute

m∠3 = 180 - 50 - 75 = 55°

4. Straight line angle = 180°

5. m∠2 = 180 - m∠3 + m∠1 (straight line angle)

m∠2 = 180 - 55 - 75

m∠2 = 50°

Learn more about corresponding angles theorem on:

https://brainly.com/question/5221905

solve 3/8[-8+16-(-2 1/2)]​

Answers

3.375

hope it helps...!!

A raffle ticket is sold for $3.50 each and the prize for winning the raffle is $250. If 100
people entered the raffle, what is:
the expected value? =

are you expected to win or lose the raffle? =

a fair price for the raffle ticket? =

Answers

Expected to lose. they initially paid $350 for the tickets and are up charging the price. and the winning price is $100 less.

5x+2y=-3
-3x-y=2
Use determinant method and Gauss Jordan Elimination method to solve the systems of linear equation.
please with working out ​

Answers

The main idea is let y be a subject and bring in the first equation and now it just have one letter in first equation, when you resolve the value of x, finally put the value of x into first or second equation then you can calculate what the value of y

Which of the following sets of numbers is a Pythagorean triple?


14, 40, 50

7, 24, 31

7, 20, 27

14, 48, 50

Answers

Answer:

the answer your looking for would be 14, 48, 50.

Step-by-step explanation:

Hope this helps!

Answer:

14, 48, 50 have a good day

Step-by-step explanation:

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