Two points -5.2 and 4.8 are on a number line. What is the distance, to the nearest tenth, between these two points?

Santiago is building a skateboarding ramp by propping the end of a piece of wood on a cinder block. If the ramp begins 63 centim

tensa zangetsu [6.8K]

Answer:

65 cm

Step-by-step explanation:

See the attached image. The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.

$16^2+63^2=x^2\\256+3969=x^2\\4225=x^2\\x=\sqrt4225}\\x=65$

3 0

2 years ago

of the 200 seniors graduating, 50 took an art class while in highschool and 99 were in the band . Only 30 of the students who to

elena-s [515]

Answer:

69 or 71, read below for details.

Step-by-step explanation:

This is unfinished, but I'll answer to my best ability.

200 seniors graduated

99 in band

30 students in art were NOT in band.

I assume the question here is either how many students were in band and art, which would be 69 as 99 - 30 = 69.

If the question is how many students didn't take any electives, the answer is 200 - 99 - 30 = 71.

Message me if you have any questions/clarifications.

8 0

3 years ago

The Patronete Winery's tastiest wine must have a 12% alcohol content. How many gallons of wine with a 9% alcohol content must be

erik [133]

Answer: 3000 gallon

Step-by-step explanation:

Here, The total quantity of 15% alcohol content = 3000 gallon

And, in which quantity of alcohol = 15% of 3000 gallon = 450 gallon.

Let the total quantity of 9% alcohol content = x

In which quantity of alcohol = 9% of x gallon= 9x/100 gallon

Now, according to the question, The wine with a 9% alcohol content will be mixed with 3,000 gallons of wine with a 15% alcohol content in order to achieve the desired 12% alcohol content.

Thus, the total quantity of mixture of 12% alcohol content = The total quantity of 15% alcohol content + total quantity of 9% alcohol content

= 3000 + x

In which quantity of alcohol = 12 % of ( 3000+x) = (360 + 12x/100) gallon ---(1)

But, the quantity of alcohol in 12 % of alcohol content = quantity of alcohol in 15% of alcohol content + quantity of alcohol in 9% of alcohol content

The quantity of alcohol in 12 % of alcohol content = (450 + 9x/100) gallon ---(2)

On equating equation (1) and (2)

We get, 360 + 12x/100 = 450 + 9x/100

⇒ 3x/100 = 90

⇒ x = 3000

Therefore, The total quantity of the mixture of 9% alcohol content = 3000

6 0

3 years ago

A triangle has angles that measure 46 and 84<br><br> what is the third angle?

pentagon [3]

The measure of the third angle is 50 because a triangle has a sum of 180 degrees by angle.

so... 46+84=130 and to get to 180, the last angle has to be worth 50.

5 0

2 years ago

Sarah bought a sweater at the sale price of $18 the original cost of the sweater was $40 what percent represents the discount th

igomit [66]

Let’s remember the most basic thing in percentages, the equation.

Percent x Whole = Part.

We know the whole, and the part, but we are trying to find the percent, so we have to divide the two, first turn your whole and part into a decimal.

Percent x 0.4 = 0.18, so we divide 0.18 by 0.4

0.18/0.4 = 0.45

0.45 = 45%

8 0

2 years ago