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3 years ago

What is 30% of a book with 210 pages

Mathematics

1 answer:

Masteriza [31]3 years ago

7 0

Answer:

63 pages

Step-by-step explanation:

I AM NOT SURE THIS IS CORRECT. I WILL EXPLAIN MY REASONING THOUGH.

Take 210 (pages) and multiply that by 30% or 0.3 that will give you 63. This means that 30% of the book is 63 pages

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If each quadrilateral below is a parallelogram,find the missing measures.

zhenek [66]

Answer:

Part 1) $MN=31\ units$

Part 2) $KN=45\ units$

Part 3) m∠K=61°

Part 4) m∠L=119°

Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

MN≅KL ----> by opposite sides

we have

$KL=31\ units$

therefore

$MN=31\ units$

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

we have

$LM=45\ units$

therefore

$KN=45\ units$

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

we know that

m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

therefore

m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

therefore

m∠M=61°

7 0

3 years ago

Sam is moving bags of soil from a loading dock into a storeroom. The top soil weighs 40 pounds per bag and the mulch weighs 20 p

Levart [38]

Answer:

$40x+20y\leq 480$

Step-by-step explanation:

Givens

The top soil weighs 40 pounds per bag.
The mulch weighs 20 pounds per bag.
The cart can only carry up to 480 pounds.

Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign $\leq$ .

Now, let's call $x$ the top soil and $y$ the mulch, the inequality that represents this problem, would be

$40x+20y\leq 480$

3 0

3 years ago

Read 2 more answers

What is the ratio of 6:21?

VMariaS [17]

That is a ratio. If you mean the simplified version, then 2:7

6 0

2 years ago

Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48

dsp73

Answer:

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

<em>Hence the value of x is 16°</em>

4 0

3 years ago

Find the area of the rhombus.<br> 4.32 m2<br> 2.16 m2<br> 1.08 m2<br> 1.05 m2

S_A_V [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The part of the diagonals are given as 0.9 m and 1.2 m.

The diagonals of rhombus intersect each other.

Hence the length of diagonals will be : $0.9*2=1.8$ and $1.2*2=2.4$

The formula of area of rhombus is : $\frac{pq}{2}$ where p and q are the length of diagonals.

So plugging the values of diagonals in formula, the area will be :

Area = $\frac{1.8*2.4}{2}$

Area = $\frac{4.32}{2}$

Area = $2.16 \ m^2$ ................. Answer

Hope it will help :)

6 0

3 years ago