In a right triangle one angle measure 28° more than the other acute angle. Use equations to solve for the measures of the two unknown angles.

Answers

Answer 1

Answer:

One acute angle is 31 degrees and the other  acute angle is ( 31+28=)  59 degrees.

Step-by-step explanation:

In the right angled triangle one angle is always equal to 90 degrees.

Suppose <a= 90 degrees

     < b= x degrees

    < c= x+28 degrees

The sum of all the angles of the triangle are always equal to 180 degrees

therefore

<a+ <b+<c= 90 + x+ x+28 = 180

or

2x= 180- 28- 90

2x=62

x= 31 degrees

One acute angle is 31 degrees and the other  acute angle is ( 31+28=)  59 degrees.

An acute angle is an angle which has less than 90 degrees in measurement .

Hence both angles of the right angle triangle are acute angles , 31 and 59 degrees.


Related Questions

Can u help me pls? Thanks

Answers

Answer:

D ; y = (4/3)x + 2

Step-by-step explanation:

The general form of the equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

Now, let us represent the given equation in this general form

We have this as;

4y= -3x + 12

divide through by 4

y = -3/4x + 3

Now, the slope of this equation is -3/4

Mathematically, when two lines are perpendicular, the product of their slopes is -1

let us have the slope of the second equation as m2

-3/4 * m2 = -1

-3m2 = 4 * -1

m2 = -4/-3

m2 = 4/3

so, the equation that is perpendicular will have its slope as 4/3

Looking through the options given as we have the equations in the general form, the equation D is the correct answer

D ; y = (4/3)x + 2

PLEASE HELP!!!
ITS DUE TODAY

Answers

Answer:

8. 7.2

9. 6.7

Step-by-step explanation:

Evaluate the expression ​

Answers

Answer:

3

Step-by-step explanation:

b=3 and its the same question on other side except the expression is in multiplication parenthesis.

Find the rule. Solve for n. Х Y 4 3 6 5 7 6 10 n Rule: ​

Answers

Answer:

n = 9

Step-by-step explanation:

Here we have the table:

X     Y

4     3

6    5

7     6

10   n

First, we want to find the rule.

in the first pair we have:

x = 4

y = 3

We can see that the y-value is one smaller than the x-value

y = 3 = 4 - 1 = x - 1

For the second pair we have:

x = 6, y = 5

We again can see that the y-value is one smaller than the x-value

y = 5 = 6 - 1 = x - 1

For the third pair we have:

x = 7, y = 6

Again, can see that the y-value is one smaller than the x-value.

y = 6 = 7 - 1 = x - 1

We can conclude that the rule is:

y = x - 1

For the last pair, we have:

x = 10, y = n

Then:

n = 10 - 1 = 9

n = 9

Then the table is:

X     Y

4     3

6    5

7     6

10   9

Solve for x.
4x - 4 <8 AND 9x + 5 > 23

Chose 1 answer:
A) 2 3
C) There are no solutions.
D) All values of x are solutions.

Answers

Answer:

C

Step-by-step explanation:

4 (2) - 4 < 8

4 < 8 (true)

9 (2) + 5 > 23

23 > 23 (not a true statement)

4 (3) - 4 < 8

8 < 8 (not a true statement)

9 (3) + 5 > 23

32 > 23 (true)

sdaasfassafasfafasffa

Answers

Answer:

Are you just giving away points because this isn't a question and someone will probably delete your answer.

help help area and perimeter

Answers

Answer:

Perimeter= 49

area= 360

Step-by-step explanation:

perimeter means you need to add 40+9 and area means you must multiple the numbers.

what is the circumference of
d= 7yd
c = ?

Answers

Answer: 7pi

Step-by-step explanation:

To find the circumference do radius (d/2)*2*pi

substitute 7*pi

7pi

There are already 1,200 gallons of water in a swimming pool. If water is filling the pool at a rate of 30 gallons per minute, which expression indicates the amount of water, in gallons, in the swimming pool after m minutes?

Answers

Answer:

n = 30m + 1,200

Step-by-step explanation:

let n = gallons

m = minutes

There are 30 gallons per minute, so 30 is multiplied by the minutes, and because there are already 1,200 gallons of water, you add 1,200

Given the area of a trapezoid is 86 in’, and the height is 4 in. If one base is 18 in, determine the other base.

Answers

Answer:

25 = base

Step-by-step explanation:

I searched all of this on YT to try and help

so first we need to know the area of a Trapezoid

A = 1/2h(b + b)

86 = 1/2(18 + b)4

we dont know the base where going to put b

we also dont like fractions so where going to get rid of 2 by multiplying 2 by 2. And we do it in both ends, so where doing the same with our Area.

172 = (18 + b)4

the 4 is multipling so divide it on both ends.

43 = (18 + b)

then do the opposite operation on the 18, by subtracting 18 on both sides.

25 = b

is the base

check the work by plugging it back in

A = 1/2h(b + b)

A = 1/2 4(18+25)

A = 1/2 4(43)

A = 1/2(172)

A = 86in

6.2 yd

5.4 yd

Find the volume of the square pyramid. Round your answer to the nearest hundredth

Answers

Answer:

60.26yd³

Step-by-step explanation:

Since we are not given the diagram, let us assume that;

Length of the base = 5.4yd

Height of the pyramid = 6.2yd

volume of the square pyramid = BH/3

B is the base area = L^2

B = 5.4²

B = 29.16yd²

H = 6.2yd

Get the volume

volume of the square pyramid = 29.16*6.2/3

volume of the square pyramid = 180.792/3

volume of the square pyramid = 60.26yd³

Hence the volume of the square pyramid to nearest hundredth is 60.26yd³

Find the output, y, when the input, x, is 3.

Y=-5x+13

Answers

Answer:

y = -2

Step-by-step explanation:

y = -5x + 13

x = 3

y = -5(3) + 13

y = -15 + 13

y = -2

Answer:

Y = -2

Step-by-step explanation:

Y=-5x+13

Y =-5×3+13

Y= -15+13

Y = -2

Calculate the Ek of a running back that has a mass of 80 kg and is running at a velocity of 8 m/s.

Answers

Answer:

2560 J

Step-by-step explanation:

mv^2/2

80(8)^2/2

2560 J

Marques bought a pair of shoes online for $61. He used a coupon code to get a 20%
discount. The website also applied a 20% processing fee to the price after the
discount. How much was the discount, in dollars and cents?

Answers

Answer:

$9.76

Step-by-step explanation:

After the processing fee that was after the coupon, the total discount was 9.76.

The population of bacteria in an
experiment is increasing by 90% each
day. If there were 100 bacteria at the
beginning of the experiment, predict the
number of bacteria in 5 days.
First, complete the equation:
Future Amount = [?](1+[DU
what would the equation

Answers

Answer:

Future amount = 100(1.9)^5 ;

2476

Step-by-step explanation:

P(t) = P0 * (1 + r)^t

P(t) = 100 * (1 + 90/100)^t#

P(t) = 100 * (1 + 0.9)^t

Therefore, the number of bacteria in 5 years :

P(5) = 100 * (1 + 0.9)^5

P(5) = 100 * (1.9)^5

P(5) = 100 * 24.76099

P(5) = 2476.099

P(5) = 2476 bacteria

P(10%

PLEASE HELP IM TIMED ON THIS!!!!!

After simplifying, what will x be equivalent to?
(a^4)^4=a^x

Answers

X= 16 is the answer for it

Solve The Quadratic Equation by the Square Root Method.

(x - 2)^2-1=0

Answers

Download Cymath to get the answer

Please help! Simplify the following problem.

Answers

Answer:

B. -4y^17

Step-by-step explanation:

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 14 units. What is BC, the height of the pyramid? 7 units 7StartRoot 2 EndRoot units 14 units 14StartRoot 2 EndRoot units

Answers

The length of line height BC according to the given parameter is; 142.

What is the length of the line BC?

It follows from the task content that the base edge length of the pyramid is 14 units.

On this note, it follows that length of the segment BC is given by Pythagoras theorem as;

BC² = 14² + 14²

BC = 14√2.

Read more on Pythagoras theorem;

https://brainly.com/question/654982

#SPJ2

Answer:

D. 14StartRoot 2 EndRoot units

Step-by-step explanation:

Edge

Simplify 16m^7n^3/4m^3n

Answers

Answer:

find the zeroes of the polynomial

You and your friend decide to go to Red Robin to eat. You are both part of the rewards club and receive coupons in the mail. You have a coupon a coupon for 10% off the total bill. Your friend has a coupon for $5 off the total bill. Which coupon should you use to save the most money if the total bill was $29.90? *
A. the $5 off coupon
B. the 10% off coupon
C. either one
D. cannot be determined ​

Answers

Answer:

A. the $5 off coupon

Step-by-step explanation:

10% off would only be 2.99 off the bill making it 26.91 but the $5 would take off more

The coupon I would use to save the most amount of money on the total bill is my friend's coupon worth $5.

Which coupon should I use?

Coupons reduce the price of an item. An item becomes cheaper after a coupon has been used. In order to determine the better coupon, calculate the price after each coupon has been used.

Coupon 1 : 10% x 29.9 = $3

Coupon 2 : 29.90 - $5 = $24.90

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

Translate the sentence into an inequality.
The quotient of b and 3 is less than or equal to 18.

Answers

Answer:

b/3 <= 18

I hope this helps you!

And congratulations on your first question!

If AC = 6, DC = 4, FC = 15, D = 65°, and CBE = 115°, what is the length of CB ?

(1) 10
(3) 17
(2) 12
(4) 22.5

Answers

10 is the answer. Hope that helped

Cindy Lou deposited $85 in the bank earning 4.5% interest annually. About how many years will it take her to earn $11.48 in interest?

Answers

Answer:

3.00 years

Step-by-step explanation:

Cindy Lou deposited $85 in the bank earning 4.5% interest annually. About how many years will it take her to earn $11.48 in interest?

Your answer

Given data

Principal= $85

Rate= 4.5%

Intterest=  $11.48

The simple interest formula is

SI= PRT/100

11.48= 85*4.5*T/100

cross multiply

11.48*100= 85*4.5*T

1148=382.5T

divide both sides by 382.5

T= 1148/382.5

T= 3.00 years

Hence the time is 3 years

Four people have measured the height of a wall using different methods. Their results are shown in the table. Order their measurements from least to greatest

Answers

The height of the wall from the least to the greatest is : [tex]\frac{5}{2}[/tex], 2.6, 1 + √3 , √8

In order to order the numbers from the least to the greatest, all the measurements have to be in the same form.

Currently, there are not so they would need to be changed to the same form.

I would change all numbers to decimals

√8 = 2.83

5/2 = 2.5

2.6

1 + √3 = 1 + 1.73 = 2.73

Now that all the numbers are in decimal, they can now be ordered

[tex]\frac{5}{2}[/tex], 2.6, 1 + √3 , √8

A similar question was solved here: https://brainly.com/question/4897278?referrer=searchResults

A batch of 24 cupcakes requires 9 ounces of flower. Julio made 132 cupcakes for the bake sale. How many pounds and ounces of flower did he use?

Answers

Answer:

49.5 ounces the flower

3 pounds, 1.5 ounces

Step-by-step explanation:

Given that :

24 cupcakes 9 ounces of flower

Number of ounces of flower required for 132 cupcakes will be x

Using cross multiplication method :

24 cupcakes = 9 ounces

132 cupcakes = x ounces

Cross multiply :

24 * x = 132 * 9

24x = 1188

divide both sides by 24 to isolate x

x = 49.5

Hence, 49.5 ounces the flower is required for 132 cupcakes

To express in pounds :

1 pound = 16 ounces

49.5 ounces = 3 pounds 1.5 ounces

write 6 ratinol numbers between - 3 and - 4

Answers

Answer:

-3.1, -3.2, -3.3, -3.4, -3.5, -3.6

Step-by-step explanation:

A quarter horse often excels at running races of 1/4 mile or less .how many feet is that

Answers

Answer:

1320ft

Step-by-step explanation:

1 mile is equal to 5280 feet, divide 5280/4

this will result in a quarter mile, being 1320ft. So for the question "1/4 mile or less" the Answer is the horse excels in 1320ft mile races

find the area 10ft 2 1/2​

Answers

Answer:

if your trying to find the area of 10ft and 2 1/2 all you gotta do is turn the 2 1/2 in a decimal and multiply it by 10 which is 25

Step-by-step explanation:

express 19,796 correct to 2 decimal places​

Answers

Answer:

19,80

Step-by-step explanation:

Hi, you just need to make a rounding: 19.796 => 19.80. Hope it helped!

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