An architect is planning a triangular pool with a perimeter of 99 ft.Two of the sides measure 20 and 42, respectively, what is the length of the missing side(x)?Solve for x

Answers

Answer 1

Given:

Perimeter of the triangle = 99 ft

Length of two sides are 20 ft and 42 ft.

To find:

The length of missing side.

Solution:

Let the missing side be x.

Perimeter of a triangle is the sum of all sides of that triangle.

[tex]x+20+42=99[/tex]

[tex]x+62=99[/tex]

Subtract 62 from both sides.

[tex]x=99-62[/tex]

[tex]x=37[/tex]

Therefore, the missing side of the triangle is 37 ft.


Related Questions

3(2x – 14) = -3(-13 + x)

Answers

Answer:

9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

AnswerX=9

Step-by-step explanation:

6x-42=39-3x

7h+h²
PLEASE HELP
.
.
.
.
.

Answers

Answer:

what grade are you in

Step-by-step explanation:

Answer:

h(7+h)

Step-by-step explanation:

You would need to factor the h out of ([tex]7h+h^{2}[/tex])

help plzzzzzzz i really need it

Answers

Answer:

2n+2*3-6n

(-2*-3)+4n-(4n*2)

Farmer Brown feeds 12.1 kilograms of alfalfa to each of his 2 horses daily. How many kilograms of alfalfa will all his horses have eaten after 21 days? Draw an area model to solve.



Draw your area model on paper, take a picture, and upload it using the image upload icon


If you do not have the ability to upload an image of your work type "Area model is on paper."

what do she meannnn ╰(‵□′)╯

Answers

Answer:

i know i stole im trying to level up sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

iuef ousdfsbhhdfsd

3. What is the total value of digit 3 in the
figure 9837512.61
A 3000
B. 30000.41
C. thirty thousand D. ten thousand​

Answers

it should be c. if not i’m so sorry

-(-2-n) simplify please

Answers

Answer:

2 - n

Step-by-step explanation:

Subtract a negative is the same thing as adding a positive, so -(-2 - n) is the same thing as 2 - nWhat we did there was cancel out the two minus signs, and formed a positive.

I hope this helps!

What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?

Answers

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , thus

y = x + c ← is the partial equation

To find c substitute (1, 0) into the partial equation

0 = 1 + c ⇒ c = 0 - 1 = - 1

y = x - 1 ← equation of line

Sarge completed 1/10 of his report in 4/5 of an hour. At this rate, how much of the report will Sarge complete in 1 hour?

Answers

Answer:

1/8

Step-by-step explanation:

Rate is the change of a quantity per unit time

We are told Sarge completed 1/10 of his report in 4/5 of an hour.

We are going to equate the rate at 4/5hour to that of 1hour to get how much of the report Sarge will complete in 1 hour

(1/10)/x=(4/5)/1

0.10/x=0.8

Make x subject of the formula we have

X=1/8

Hence 1/8 of the report needed to be completed

What is the x- coordinate of the point (6,8)?
A. 6
B. 8
C. -6
D. -8​

Answers

Try B but Im not sure..

Answer:

A

Step-by-step explanation:

The coordinate is in the form (x,y) so the x-coordinate would be 6

what is 9-3 divided by 1/3 +1? pls help me and i will give you a brainlist

Answers

Answer:

19

Step-by-step explanation:

1. Subtract and divide. 9 - 3 is 6, and 6 divided by 1/3 is 18, because whenever you divide by a fraction, you multiply by the reciprocal.

2. Add. 18 + 1 is 19.

Choose all of the transformations that are rigid motions.

Answers

Answer:

I think its is the 3 one if multiple choice then 3 and 4

What is the image of (0,7) after a reflection over the x-axis

Answers

Answer:

(0, - 7 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(0, 7 ) → (0, - 7 )

can you please tell me if i got these right

Answers

Answer:

They are right! Great job!!

Given: ABC is a right triangle with right angle C. AB= 14 centimeters and mA = 33°
What is AC?
Enter your answer, rounded to the nearest tenth, in the box

Answers

Answer:

AC ≈ 7.6 cm

Step-by-step explanation:

I've attached a drawing of this problem below as a visual aid.

We know that this is a right triangle (one of the angles is 90°), one of the other angles (mA) is 33°, and the hypotenuse (AB) is 14 cm. We need to calculate the length of one of the other sides. We can use sine, cosine, or tangent.

Remember SOHCAHTOA?

→ soh (Sine = Opposite / Hypotenuse)

→ cah (Cosine = Adjacent / Hypotenuse)

→ toa (Tangent = Opposite / Adjacent)

The side we want to calculate happens to be adjacent to the angle mA (33°). So, we use cosine. We put in the values we know and solve for x, the missing side:

→ sin(33°) = [tex]\frac{x}{14}[/tex]

→ x = sin(33°) × 14

→ x ≈ 7.6

The length of AC is 7.6 centimeters.

I WILL MARK BRAINLIEST!!​

Answers

Answer:

Option 3

Step-by-step explanation:

3/2 times x - 3 = y can also be:

y=3/2 times x-3

-3 is the y-intercept. This is one of the points, (0,-3).

Now, you need to solve for x. Say y equals 0.

3/2 times x-3 will equal 0.

3/2 times 2 = 6/2 which equals 3. You can solve the equation now.

3/2 times 2 - 3 = 0

2 is the x-intercept. This is the other point in the line, (2,0).

So the answer is Option 3

Destiny paid $9.60 for a dozen donuts. What is the unit cost for each donut?

Answers

Answer:

$0.8

Step-by-step explanation:

dozen=12

$3.60=12 donuts

$3.60/12= 0.8

$0.8

PLEASE DO ALL 4 ASSAPP
Write an equation in standard form of the line shown.


Answers

Answer:

All are in the picture

Step-by-step explanation:

lmk if you'd like me to explain more on any of them :)

There are 20 classrooms in the high school with 30 students in each class. How many students are in the school?​

Answers

600 students. Multiply 30 x 20= 600
Required Answer:

[tex]\Large{\boxed{\tt{600 \: Students}}}[/tex]

Question:

There are 20 classrooms in the high school with 30 students in each class. How many students are in the school?To find:No. of studentsGiven:Total no. of classrooms = 20 students in each class= 30Answer:Total no. of students in school= Total no. of classrooms×students in each classTotal no. of students in school=20×30Total no. of students in school=600

best of luck! ^_^

There is a relationship between the expected number of tickets sold for a raffle and the dollar value of the prize for the raffle. The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize. Suppose the expected ticket sales for a certain raffle are 1900. Determine the dollar value of the raffle prize.

Answers

Answer: The dollar value of the raffle prize = 300

Step-by-step explanation:

Given: The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize.

If T =1900

Then,

[tex]1900-6P=100[/tex]  [Put T=1900 in given equation]

[tex]\Rightarrow\ 6P=1900-100\\\\\Rightarrow\ 6P= 1800\\\\\Rightarrow P=\dfrac{1800}{6}\\\\\Rightarrow\ P=300[/tex]

Hence, the dollar value of the raffle prize = 300

you pay $175 for 5 football tickets. How much will you for each (1) ticket?

Answers

Answer:

Step-by-step explanation:

175 ÷ 5 = 35

$35 per ticket

Answer:

35

Step-by-step explanation:

It's cuz you want to know how much one ticket costs right?

Sp do 175 divded by 5

You should get 35 as the answer!

Colin used 2 gallons of tan paint, 5 gallons of blue paint, and 1 gallon of green paint to paint the rooms in his house. What is the ratio of the number of gallons of green paint to the number of gallons of tan paint that Colin used?

Answers

Answer:

The ration of the number of gallons of green paint to the number of  tan paint Collins used is 1 is to 2

Step-by-step explanation:

The given parameters are;

The number of gallons of tan paint = 2 gallons

The number of gallons of blue paint = 5 gallons

The number of gallons of green paint = 1 gallons

Therefore, the ration of the number of gallons of green paint to the number of  tan paint Collins used = (The number of gallons of green paint Collins used):(The number of  tan paint Collins used) = 1 gallons:(2 gallons) = 1:2

The ration of the number of gallons of green paint to the number of  tan paint Collins used = 1 is to 2.

Write and solve an inequality to represent the situation below.

When Chelsea babysits, she charges $5 for each hour, x, she works plus $2 for bus fare. Chelsea want to earn at least $33 for her next babysitting job. How many hours must she work?

Answers

6.2 hours
Every time Chelsea babysits she earns 2 + 5x
We want at that to amount to at least 33. *_> is great than or equal to*
33 _> 2+5x
Subtract 2 from both sides
31_>5x
Divide by 5 from both sides
6.2_>x
So Chelsea must work for at least 6.2 hours. She could work more but at least 6.2

A rock is dropped from a height of 2.5 meters. What is its velocity when it reaches the ground? A. 3.5 meters/second B. 7.0 meters/second C. 12 meters/second D. 14 meters/second E. 49 meters/second

Answers

Answer:

7.0 m/s

Step-by-step explanation:

Use the formula vf^2 = vo^2 + 2*a*d

since the rock is dropped, its initial velocity is zero:

vf^2 = 2*9.8*2.5 = 49

vf = 7.0 m/s

B. 7.0 m/s

notice how they tried to trick you with E.

Answer:

B. 7.0

Step-by-step explanation:

i got it right on my test

Chocolate sprinkles cost as much per pound as sugar. Find 1 10 the baker's total cost for 100 pounds of chocolate sprinkles. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.

Answers

116=$0.05


hope this helps

The total cost of chocolate sprinkles is $800

What are Place value charts?

This is an implementation of the numeral system that shows the value of each digit in a number using their positions

Given that, Chocolate sprinkles cost as much per pound as sugar.

From the complete question, we have the following parameters:

Unit rate = $8.00

Total pounds = 100

Total cost of chocolate sprinkles

So, the total cost of chocolate sprinkles is calculated using the following formula;

Unit = Total / Pounds

This gives

$8.00 = Total / 100

Total = $800

Hence, the total cost of chocolate sprinkles is $800

Read more about place value charts at:

brainly.com/question/12386995

#SPJ5

If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side

Answers

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

Darnell's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. How many more miles per gallon did Darnell's car travel after the mechanic worked on it?

Answers

Answer:

7.5 miles per gallon

Step-by-step explanation:

Given that:

8 gallons of gasoline traveled 340 miles

After being worked on by the mechanic :

7 gallons travels 350 miles

How many more miles per gallon did Darnell's car travel after the mechanic worked on it?

Obtain the unit mile traveled per gallon before and after the mechanic worked on the car :

Miles per gallon before being worked on by mechanic :

340 miles / 8 gallons = 42.5 miles per gallon

Miles per gallon after being worked on by mechanic :

350 miles / 7 gallons = 50 miles per gallon

(50 - 42.5) = 7.5 miles per gallon

Hence, vehicle moved 7.5 more miles per gallon after bwing worked on by mechanic.

A family has two cars. During one particular week, the first car consumed 40 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 1575 miles, and the sum of their fuel efficiencies was 55 miles per gallon. What were the fuel efficiencies of each of the cars that week?

Answers

Answer:

Fuel efficiency of first car = 30 miles/gallon

Fuel efficiency of second car = 25 miles/gallon

Step-by-step explanation:

Given that:

Fuel consumed by first car = 40 gallons

Fuel consumed by second car = 15 gallons

Total distance drove by the two cars combined = 1575 miles

Sum of their fuel efficiencies = 55 miles/gallon

To find:

The fuel efficiencies of each of the cars = ?

Solution:

Fuel efficiency of a car is defined as the ratio of distance traveled in miles to the number of gallons used by the car.

Let the distance traveled by first car = [tex]x[/tex] miles

So, the distance traveled by other car = (1575 - [tex]x[/tex]) miles

Fuel efficiency of first car = [tex]\frac{x}{40}[/tex] miles/gallon

Fuel efficiency of second car = [tex]\frac{1575-x}{15}[/tex] miles/gallon

As per given question statement:

[tex]\frac{x}{40}+\frac{1575-x}{15}=55\\\Rightarrow 15x+1575\times 40-40x=55\times 40 \times 15\\\Rightarrow 25x=30000\\\Rightarrow x =1200\ miles[/tex]

Distance traveled by first car = 1200 miles

Fuel used by first car = 40 gallons

So, fuel efficiency of first car = [tex]\frac{1200}{40} = \bold{30\ miles/gallon}[/tex]

Distance traveled by second car = 1575 - 1200 = 375 miles

Fuel used by second car = 15 gallons

So, fuel efficiency of second car = [tex]\frac{375}{15} = \bold{25\ miles/gallon}[/tex]

The blueprints show the deep end of the pool as 8 feet below ground, which
is a depth of -8. The city wants the pool to be 5 feet deeper so a diving
board can be installed.

Answers

What’s the question here?

I need help with this please!

Answers

Answer:

Step-by-step explanation:

its 9

Rewrite
as a unit rate.

Answers

Answer:

rewrite what as the unit rate?

Step-by-step explanation:

What is the question

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