In a rectangle, the length is 7 m less than three times the width and the area is 111 m. Approximate the dimensions to the nearest tenth of a meter.

Answer:

I think option a is correct

Given:

△BTS≅△GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, m∠S = 56°, m∠B = 21°, and m∠H = (7y + 5)°.

To find:

The value of y.

Solution:

In △BTS,

[tex]m\angle B+m\angle T+m\angle S=180^\circ[/tex]        (Angle sum property)

[tex]21^\circ+m\angle T+56^\circ=180^\circ[/tex]

[tex]m\angle T+77^\circ=180^\circ[/tex]

[tex]m\angle T=180^\circ-77^\circ[/tex]

[tex]m\angle T=103^\circ[/tex]

We have,

[tex]\Delta BTS\cong \Delta GHD[/tex]

So, [tex]\angle T\cong \angle H[/tex]             (By CPCTC)

Then, [tex]m\angle T=m\angle H[/tex]

Now,

[tex]103=7y+5[/tex]

[tex]103-5=7y[/tex]

[tex]98=7y[/tex]

Divide both sides by 7.

[tex]14=y[/tex]

Therefore, the value of y is 14.

Answer:

like an hour and some minutes

Step-by-step explanation:

60 miles per HOUR

hour=1

65 miles away

60 miles in 1 hour + 5 miles in sum mins

Answer:

I think this is it.....If not let me know

2x - y = 3

Slope = 2

x - intercept = 3/2 = 1.50000

y - intercept = 3/-1 = -3.0000

x + y = 0

Slope = -2.000/2.000 = -1.000

x - intercept = 0/1 = 0.0000

y - intercept = 0/1 = 0.0000

Answer:x=2, x=2.5

Step-by-step explanation:

5x+1=11

Subtract 1 from each side

5x=10

Divide each side by 5

x=2

2x-3=2

Add 3 to each side

2x=5

Divide each side by 2

x=2.5

Answer:a)2 .(b) 2.5

Step-by-step explanation:

a) 5x + 1 = 11

Substract 1 from both sides

5x + 1 - 1 = 11 - 1

5x = 10

x = 10/5

x = 2.

b). 2x - 3 = 2

Add 3 to both sides

2x - 3 + 3 = 2 +3

2x = 5

x = 5/2

x = 2.5

Answer:

1000 ft/min

Step-by-step explanation:

Rate of change in ft per min is 1000 ft per 1 minute from reading the graph

7436 ÷ 13 = 572

I didn't understand the rest of the thing u mentioned

Answer

418.2 m

Step-by-step explanation:

The first thing you need to realize to simplify the solving of this question for yourself is that since 5 cm are equal to 25 m, you can convert that into 1 cm is equal to 5 m. With that in mind, you then want to find the area of the rectangle in cm, which would be 6.8 times 12.3, which comes out to be 83.64. All you need to do from there is multiply that by 5, which should give you the answer of 418.2

Answer:

Base = 10 cm

Height = 60 cm

Step-by-step explanation:

The formula for the area of a triangle is  [tex]area=\frac{1}{2} *b*h[/tex] , where b is the length of the base of the triangle, and h is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that [tex]h=6*b[/tex]. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

[tex]300=\frac{1}{2} *b*(6*b)[/tex]

[tex]3b^2=300[/tex]

[tex]b=\sqrt{100} =10[/tex]

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

[tex]300=\frac{1}{2} *10*h[/tex]

[tex]5h=300[/tex]

[tex]h=60[/tex]

The height of the triangle is 60 centimeters.

Answer:

Step-by-step explanation:

Simplifying

2g = W

Solving

2g = W

Solving for variable 'g'.

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

Divide each side by '2'.

g = 0.5W

Simplifying

g = 0.5W

Answer:

C , 452.16 cm :)

Step-by-step explanation:

good luck

Answer:

452.448

Step-by-step explanation:

Answer:

3.1x x+12.04zx-1.2z.....

19 and 8 is the answer of this question ok

Answer:

b

Step-by-step explanation:

you would multiply -3/4 by it reciprocal (4/-3) and also multiply -6 by 4/-3 and you would-24/-3 then you would simplify it and get 8 ( a negitive tames an negitve would be a positive)

Answer:

a (5)

Step-by-step explanation:

The constant is the same as y/x in a proportional relationship

Answer:

36w

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The value of tan (A-pi/4) is  (-√(15)- 1) / 1 -√(15).

One of the trigonometric identities for compound angles is the tan(a-b) identity. When the angle for which the tangent function value is to be determined is supplied in the form of the difference of any two angles, it is used. The compound angle is denoted by the angle (a-b) in the formula for tan(a-b).

Given:

tanA = -square root 15

tanA = -√(15)

To find the value of tan (A-pi/4):

Use the formula,

Tan(a - b) Identity

tan(A-B) = (tanA - tanB) / 1 + (tanAtanB)

Substituting the values,

tan(A-π/4) = (tanA - tanπ/4) / 1 + (tanAtanπ/4)

tan(A-π/4) = (-√(15)- 1) / 1 + (-√(15)

tan(A-π/4) = (-√(15)- 1) / 1 + (-√(15)

tan(A-π/4) = (-√(15)- 1) / 1 -√(15)

Therefore, the value is tan(A-π/4) = (-√(15)- 1) / 1 -√(15)

To learn more about the tan(a-b) identity;

https://brainly.com/question/29004224

#SPJ2

Answer:

2, 5, 8, 15

Step-by-step explanation:

The set of whole numbers is: 0, 1, 2, 3, ...

It includes zero but no negative numbers.

Answer: 2, 5, 8, 15

Answer:

-43 < -35

(Negative 43 is less than negative 35).

Answer: m angle 1=164°

Step-by-step explanation:

Since the two provided angles are congruent we can make the equation

4x-20=3x-11

Subtract 3x from each side

x-20=-11

Add 20 to each side

x=9

now apply our x to one of the angles

4(9)-20

36-20

16

In a parellelogram all sides added up =360° so if we subtract 16•2 from 360 we can get the sun of the two remaining angles. So 360-32 is 328°. Divide that by 2 to get the angle measure of one of the two angles. 164

Answer:

A

Step-by-step explanation:

If he borrows two dollars that looks like it should be +2 because he has 2 dollars that he didn't have before. But ...

The problem is that he now owes 2 dollars. So the two dollars that he borrowed is wiped out.

+ 2 for the two dollars - 2 when he pays it back. Result 0

+2 - 2 = 0

A

Answer:

I think it's A

Hank paid back the 2$ that he owned his friend so he no longer owes him more money so -2+2=0

Answer:

They are neither parallel nor perpendicular.

it isn't parallel because they cross

it's not perpendicular because they don't cross at a 90 degree angle

Step-by-step explanation:

Hope this helps you and btw u should download desmos it's an amazing calculator that graphs these things for you!!! hope u have a wonderful day and stay safe and healthy:)))

Answer:

15. [tex]P(S)=\frac{2}{9}[/tex]

16. [tex]P(Consonant)=\frac{5}{9}[/tex]

17. [tex]P(TorN)=\frac{3}{9}[/tex]

18. [tex]P(V)=1[/tex]

19. [tex]P(W)=0[/tex]

20. [tex]P(S)=\frac{7}{9}[/tex]

Answers

15. 2/9 (two ninths)

16. 5/9 (five ninths)

17. 1/3 (one third)

18. 9/9 (nine ninths)

19. 0

20. 7/9 (seven ninths)

Explanations

There are nine letters.

There is one T.

There are 4 E's.

There are two N's.

There are two S's.

15. You know that there are two S's. Two S's out of nine total letters is 2/9. The probability that an S is selected is 2/9.

16. A consonant is a letter that is not a vowel. The consonants in TENNESSEE are T, N, and S. There is one T, two N's, and two S's, meaning there are 5 consonants. Five consonants out of nine total letters is 5/9. The probability that a consonant is selected is 5/9.

17. You know that there is one T and two N's. This is a total of three letters. The probability of getting on of these three letters is 3/9. 3/9 simplified is 1/3. The probability of selecting a T or N is 1/3.

18. You know that there are no V's in TENNESSEE. Therefore, no matter what letter you select, there is a 100% chance you'll get a number that is not V. All nine letters are not the letter V, so the probability of selecting a letter that is not V is 1/1 or 1.

19. You know that there are no W's in TENNESSEE either. Therefore, whichever letter you select, you will not get a W. The chance of selecting a W is 0/9 or 0.

20. There are four S's. That means there are five letters that are not S. These are: T, N, N, S, S. Five letters out of nine letters in total is 5/9. The probability of selecting a number that is not S is 5/9.

either 37, 17, 20 or 24, 26, 51

Answer:

its C can i get brainliest i only need 1 more

Step-by-step explanation:

Answer:

its 23/36

Step-by-step explanation:

Answer:

question is not complete