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2 years ago

The area of a rectangle is 30 square feet. The base of the rectangle is 7.5

Mathematics

1 answer:

BigorU [14]2 years ago

8 0

Answer:

4 ft

Step-by-step explanation:

<h3>Area of rectangle:</h3>

Area = 30 square ft

base = 7.5 ft

$\sf \boxed{height \ of \ rectangle = \dfrac{Area}{base}}$

$\sf =\dfrac{30}{7.5}\\\\=\dfrac{30*10}{7.5*10}\\\\=\dfrac{300}{75}\\\\= 4 ft$

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Which expression is equivalent to 3(5+4)

guajiro [1.7K]

Answer:

3(15+12)

Step-by-step explanation:

3(5+4)

3( 5 x 3 =15 and 4 x 3= 12)

4 0

3 years ago

Find the values of the missing sides in the parallelogram given.

natta225 [31]

Given:

m∠B = 44°

Let's find the following measures:

m∠A, m∠BCD, m∠CDE

We have:

• m∠A:

Angle A and Angle B are interior angles on same side of a transversal.

The interior angles are supplementary.

Supplementary angles sum up to 180 degrees

Therefore, we have:

m∠A + m∠B = 180

m∠A + 44 = 180

Subtract 44 from both sides:

m∠A + 44 - 44 = 180 - 44

m∠A = 136°

• m,∠,BCD:

m∠BCD = m∠A

Thus, we have:

m∠BCD = 136°

• m∠CDE:

Angle C and angle CDE form a linear pair.

Linear pair of angles are supplementary and supplementary angle sum up to 180 degrees.

Thus, we have:

m∠D = m∠B

m∠D = 44°

m∠CDE + m∠D = 180

m∠CDE + 44 = 180

Subract 44 from both sides:

m∠CDE + 44 - 44 = 180 - 44

m∠CDE = 136°

ANSWER:

• m∠A = 136°

•

• m∠BCD = 136°

•

• m∠CDE = 136°

6 0

1 year ago

Write 7x10^-8 in standard form

attashe74 [19]

Answer:

The answer would be 0.00000007

6 0

3 years ago

Read 2 more answers

Prove: △VWZ ≅ △YWZ

chubhunter [2.5K]

Answer:

Step-by-step explanation:

Statements Reasons

----------------------------------------------------------------

1. ∠V ≅ ∠Y Given

2. WZ bisects ∠VWY Given

3. ∠VWZ ≅ ∠YWZ Definition of Angle Bisector (2)

4. WZ ≅ WZ Reflexive Property

5. ΔVWZ ≅ ΔYWZ AAS Theorem (1,3,4)

**In case you didn't know the definitions**

Angle Bisector - A line, segment or ray that divides an angle into two congruent angles

Reflexive Property - X = X

AAS Postulate - If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangle's are congruent

6 0

3 years ago

Determine the fraction of total interest owed using the rule of 78. After the six month of a 12 month loan, the numerator is: {(

Dima020 [189]

Answer:

The fraction of total interest owed is $\frac{57}{78}$

The value of it to the nearest tenth is 73.1%

Step-by-step explanation:

Let us solve it using the rule of 78

∵ The loan = 12 month

∵ The numerator is after 6 month

- Substitute n by 1 in each bracket

∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}

∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}

∴ The numerator = {57}

∴ The numerator of the fraction is 57

∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}

- substitute n by 1 in each bracket

∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}

∴ The denominator = {78}

∴ The denominator of the fraction is 78

The fraction of total interest owed is $\frac{57}{78}$

Now find the value of the fraction

∵ The fraction = $\frac{57}{78}$

∴ Its value = 0.7307692308 × 100%

∴ Its value = 73.07692308%

- Round it to the nearest tenth

∴ Its value = 73.1%

The value of it to the nearest tenth is 73.1%

5 0

3 years ago