The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.

Answer:

x= 12 cm

Step-by-step explanation:

Answer:

[tex]x=(4\sqrt{3})/3[/tex]

Step-by-step explanation:

If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get [tex]x=(4\sqrt{3})/3[/tex]

work out the m and c for the line 3y+2x=-1

Find n. 36 ÷ n = 4 Need this quick

Sara poured 3/4 of the juice from a 2 liter bottle while serving guest party.
How much juice, in liters, is still left in the bottle

A painter checks a canvas to be sure it is rectangular. One of the canvas’ diagonals measures 48 inches. If the canvas is a rectangle, what is the measure, in inches, of the other diagonal?

A.)24
B.)12
C.)96
D.)48

Find the surface area! Please I need it quick

A sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 11 footballs were filled with helium to the recommend pressure and 12 footballs were filled with air to the recommended pressure. The mean yardage for the helium filled footballs was 291 yards with a standard deviation of 4 yards. The mean yardage for the air filled footballs was 285 yards with a standard deviation of 2 yards. Assume the populations are normal with equal variances.

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Lower bound

(use 3 decimal places)

Upper bound

(use 3 decimal places)

(b). What can you conclude about the sports writer's idea that helimum footballs travel farther, on average?

On a map, 2 inches represents 60 miles. If a line between two cities measures 9 inches, how many miles apart are they?

What is the constant rate of change for this equation y = 1/9x-20 ?​

Frank practised for 4 hours and 35 minutes. If he stopped practising at 9:17 p.m, what time did he start practising?

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PLZ show work!!!!

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How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 6 meters​? Use 3.14 for π

HELP ME PLEASE

r | 6 + 1 =9

please help me this is due tomorrow and it’s my last question!!
if you can’t tell what it says it says R divided by 6 plus one equals 9!

√(7+√(24))÷2+√(7−√(24))÷2​

can someone help me with this please

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refer to attachment

i need a answer ASAP
i give extra points and brainliest and i will help you if you give me the answer!

Solve: 6 3/7 - 1 3/6
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A: 4 7/13
B: 4 39/42
C: 7 7/13
D: 7 39/42
Again, no links please! and explanation is optional.

(PICTURE PROVIDED)
A: 1 unit
B: 2 units
C: 3 units
D: 4 units

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Tamara has $500 in her bank account. Tamara withdraws money to buy concert tickets. After the withdrawal, the account balance changed by $75.00
Enter the amount of money, in dollars, Tamara must deposit to return her account to the orginal balance.
Tamara must deposits

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levi finds a skateboard that sells 139.99. the store charges 6% sales tax about how much money will he have to spend for his skateboard?

Work out the shaded area of this shape.

I’ll mark brainliest!! Please help:)

Determine the solution for the following equation: (8x-8)3/2=64

50 3.5 3.9 4.4 5.0 5.9 7. 1 8.8 11.8 45 40 35 30 25 20 15 Reduce your greenhouse gas emissions by choosing a car with better gas mileage. MPG A n n u a l T o n so fG H G At Sunny Middle School, Ms. Addison’s class is investigating how greenhouse gases (GHGs) contribute to global climate change. They wrote their research on note cards: • Greenhouse gases cause climate change by trapping heat on the planet. • Greenhouse gases contribute to smog and air pollution, which can cause respiratory diseases, like asthma. • Extreme weather, disruptions to the food supply, and increased wildfires are also caused by greenhouse gases. “Where do greenhouse gases come from?” Mia asked. “One of the most common greenhouse gases is carbon dioxide, also known as CO2. People release CO2 into the atmosphere when we burn fossil fuels (like coal and natural gas) for energy and transportation,” Ms. Addison answered. The class examined the graph to the right. The source for the largest percentage of CO2 emissions for a typical household was vehicles. The students conducted some research and found: > Highway vehicles release about 1.7 billion tons of GHGs each year. > Each gallon of gasoline burned creates 20 pounds of GHG. > A typical vehicle releases 6 to 9 tons of GHG into the atmosphere each year. For their group project, Mia and Ichiro researched hybrid cars that combine gas and an electric motor. “Awesome, so it consumes less fuel and emits less CO2 into the environment,” Ichiro said. “While hybrid cars are better for the environment, I’m seeing that some people are hesitant to buy one because of the higher purchase price,” Mia noted. They found the graph to the right, which shows the miles per gallon (MPG) and the annual tons of GHG produced by 8 different types of cars. If each gallon of gasoline burned created 20 pounds of GHG, and the price of gasoline was $2.454 per gallon, how much money was saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon? Provide your answer to the hundredths place. Note: 1 ton = 2,000 pounds

How to add rational expressions.

1) 1/2 × 4 × 2/3
2) 6 × 2/3 × 1/4
3) 8 × 2/5 × 10/12
4) 5/6 × 2/5 × 10
5) 1/9 × 3/4 × 1 ​