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BabaBlast [244]
1 year ago
13

Khan Academy Question

Mathematics
1 answer:
Mama L [17]1 year ago
4 0

Answer:

84

Step-by-step explanation:

Since we are given line OP perpendicular to line DR, then angles PDR and ODR are right angles.

Angles PDA and ADR are complementary.

Angles ODU and UDR are complementary.

Angles ADR and UDR are given as congruent.

We can conclude that angles PDA and ODU are congruent.

By AA Similarity, triangles APD and UMD are similar.

DP/DM = PA/MU

3.75/10 = 4.5/MU

3.75MU = 10 × 4.5

MU = 12 (altitude of triangle DUO)

OD = OM + MD =  4 + 10 = 14 (base of triangle DUO)

area = base × height / 2

area = 14 × 12 / 2

area = 84

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There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot
Degger [83]

The number of bottles in a full box is 12.

<u><em>Explanation</em></u>

Suppose, the number of bottles in a full box is  x

So, the number of bottles in <u>three</u> full boxes =3x

Now, two more boxes are added, both of which have <u>one fewer bottle than the other three</u>. So, the number of bottles in these two boxes = 2(x-1)

As there were 9 bottles initially and now there are 67 bottles in the fridge, <em><u>so the equation will be</u></em>....

9+3x+2(x-1)=67\\ \\ 9+3x+2x-2=67\\ \\ 5x+7=67\\ \\ 5x=67-7\\ \\ 5x=60\\ \\ x=\frac{60}{5}=12

Thus, the number of bottles in a full box is 12.

7 0
3 years ago
Who failed to support civil rights for freed slaves? (wrong category by mistake, not mathematics)
dangina [55]

Answer:

The Supreme Court.

Step-by-step explanation:

After the end of the Civil War and the enactment of the Thirteenth Amendment in 1865, slavery was officially abolished in the United States. Thus, the millions of African American slaves that inhabited the southern states of the country won their freedom and equality before the law against whites.

Now this situation began to dismember in 1877, when federal troops left the southern states and Reconstruction officially came to an end. From then on, Democratic governors and legislators began to sanction the Black Codes and Jim Crow Laws, aimed at curtailing the civil and political rights of African-Americans.

This situation was tested before the Supreme Court in 1896 in the case Plessy v. Ferguson. But in the ruling of said case, the Supreme Court established that racial segregation was constitutional and therefore neglected African Americans and their rights.

8 0
3 years ago
The bolo cavern outside of vandalia is 421 ft below sea level. A little more than75 miles away. Mt Owens is 7295 feet above sea
Leya [2.2K]

Answer:

The difference in elevation is 7,716 ft

Step-by-step explanation:

Let

y -----> the elevation of Mt Owens

x -----> the elevation of the bolo cavern

we know that

To find the difference in elevation between the bolo cavern and Mt Owens, subtract the elevation of the bolo cavern from the elevation of Mt Owens

we have

y=7,295 ft ----> is positive because is above sea level

x=-421 ft ----> is negative because is below sea level

therefore

y-x=7,295-(-421)=7,295+421=7,716 ft

7 0
3 years ago
Please solve this! I will give brainliets
torisob [31]

Answer:

5 and 61

Step-by-step explanation:

Using Pythagoras' identity in the right triangles

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

(1)

c² = a² + b² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

c = \sqrt{25} = 5

(2)

c² = a² + b² = 11² + 60² = 121 + 3600 = 3721 ( take the square root of both sides)

c = \sqrt{3721} = 61

5 0
3 years ago
Find the GCF of 6ab, 3a
irga5000 [103]
GCF means: greatest common factor, the biggest number by which both numbers can be divided.

We knew that both numbers are divisible by 3: both 6 and 3 are divisible by 3.

also, they are both divisible by "a": since they are products of a and other numbers or variables.

So the answer is:

3a
7 0
3 years ago
Read 2 more answers
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