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2 years ago

Which expression is equivalent to the given expression?

Mathematics

1 answer:

djverab [1.8K]2 years ago

8 0

Answer:

a. 5q+5q+5

Step-by-step explanation:

5q+5q=10q

10q+5 is equivalent to 10q+5

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Tia is 8 years younger than her sister Annette. Annette is y years old. Write an algebraic expression that describes Tia’s age.

-BARSIC- [3]

8-y
Hope this helps and please mark brainliest.

6 0

2 years ago

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Find the area of a circle with a diameter of six. Either enter an exact answer in terms of pie or use 3.14 for pie and enter you

miss Akunina [59]

Answer:

The area of the circle is 28.26

The area of the circle in terms of pi is 9π

Step-by-step explanation:

radius = half of diameter

d = 6

r = 6/2 = 3

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 3

π = pi

a = π * r²

we replace with the known values

a = π * (3)²

a = π * 9

a = 9π

The area of the circle in terms of pi is 9π

9 * 3.14 = 28.26

The area of the circle is 28.26

4 0

3 years ago

Brooklyn is arranging flowers along the front of her home. She has 40.27 square feet of planting space but has used 3.8 square f

Klio2033 [76]

Answer:

24 flowers

Step-by-step explanation:

40.27 - 3.8 = 36.47

36.47/1.5 = 24.313

4 0

3 years ago

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Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le

Helen [10]

Answer: $\overline{AC}=$ 12.5

Step-by-step explanation: The triangle ABC and its altitude $\overline{BD}$ is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of $\overline{BD}$ , now we have two similar triangles, which means that ratios of corresponding sides are equal:

$\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}$

$\overline{BD}^{2}=\overline{BC}.\overline{AD}$ (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

$\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}$

$\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}$ (2)

Substituting (2) into (1):

$\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}$

We want to find f, so:

$\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}$

$f=\frac{10^{2}-5^{2}}{10}$

f = 7.5

The length of $\overline{AC}$ is

$\overline{AC}=f+5$

$\overline{AC}=7.5+5$

$\overline{AC}=12.5$

The length of the hypotenuse of triangle ABC is 12.5 units.

5 0

2 years ago

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Can someone help me understand how to solve a two variable equation I am really lost

Llana [10]

Easiest method solving 2 unknowns is Substitution.
So there will normally be 2(ormore)equations given.
Say
X+Y= a
bX=cY + d
a b c d are numbers they give
So first we rearrange the first equation
X = a - Y
No we substitute this into the 2nd equation so that we can get Y
since we know X = a-Y,
b(a-Y) = cY + d
we rearrange and we can find Y for this, it is just Y and numbers
hence finding Y, we sub the value for Y into X = a-Y and we get X also .

7 0

3 years ago