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3 years ago

The area of the parallelogram is 315 square units. What is the height of the parallelogram?

Mathematics

2 answers:

lidiya [134]3 years ago

6 0

Answer:

Step-by-step explanation:

A÷B= H (Area divided by base equals height)

315÷21= 15

Simora [160]3 years ago

6 0

Answer:

height = 15

Step-by-step explanation:

Area of a parallelogram: Base * height

Plug in the values we know.

21 * height = 315

Divide both sides by 21

height = 15

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Triangle ABC and Triangle DEF are similar. For triangle ABC, AB = 2x , AC = 24 inches and BC = 20. For triangle DEF, EF = 5 and

Norma-Jean [14]

X=8.

Following the similarity statement, we know that AC is to DF as BC is to EF. The ratio would be:

24/(x-2) = 20/5

Cross multiply:
24*5 = 20(x-2)

Use the distributive property:
120 = 20x - 40

Add 40 to both sides:
120+40 = 20x - 40 + 40
160 = 20x

Divide both sides by 20:
160/20 = 20x/20
8 = x

8 0

3 years ago

List all prime fractors of the composite number 50

Misha Larkins [42]

The factors of 50 are 1, 2, 5, 10, 25 and 50. The factors of a number can be found by determining which numbers evenly divide into a given number.

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3 years ago

The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do

xenn [34]

Volumes of 2% Solution = 5 ml

Volumes of 10% Solution = 5 ml

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<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

Elimination Method
Substitution Method
Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

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Let:

Volumes of 2% Solution = x

Volumes of 10% Solution = y

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Total Volume = 10 ml

$\boxed{x + y = 10}$ → Equation 1

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The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution.

$2 \% x + 10 \% y = 6 \% (10)$

$2x + 10y = 6(10)$

$\boxed{x + 5y = 30}$ → Equation 2

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Equation 1 - Equation 2:

$( x + y ) - ( x + 5y ) = 10 - 30$

$-4y = -20$

$y = -20 \div -4$

$y = 5 \texttt{ ml}$

$\texttt{ }$

$x + y = 10$

$x + 5 = 10$

$x = 5 \texttt{ ml}$

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<h2>Conclusion:</h2>

Volumes of 2% Solution = 5 ml

Volumes of 10% Solution = 5 ml

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

6 0

3 years ago

The measure of angle O is 110°. what is the angle of r and p?

sergij07 [2.7K]

Answer:

Choice D for Angle R

70 degrees for Angle P

Step-by-step explanation:

Google "central angles and inscribed angles geometry" for an explanation.

It's actually a poorly worded question.

7 0

3 years ago

Read 2 more answers

Paul has 2/3 as many postcards as shawn . the number of postcards shawn has is 3/5 of the number of postcards tim has. if the th

kakasveta [241]

P = ( 2 / 3 )s;
s = ( 3 / 5 )t ;
p + s + t = 280 ;
Then, p =( 2 / 3 )( 3 / 5 )t ;
p = ( 2 / 5 )t;
We solve the equation : ( 2 / 5 )t + ( 3 / 5 )t + t = 280 ;
( 2 / 5 )t + ( 3 / 5 )t + ( 5 / 5 )t = ( 1400 / 5 )t;
10t = 1400 ;
t = 1400 ÷ 10 ;
t = 140 postcards has Tim;
p = ( 2 / 5 ) × 140 = 56 postcards has Paul;
s = ( 3 / 5 ) × 140 = 84 postcards has Shawn ;

6 0

3 years ago