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disa [49]
3 years ago
7

Find the value of x.

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

This is a right triangle, so we know that:

h² = b' · c'

which is this case can be specificly written as:

BD² = AD · CD

BD² = 7 · 3 = 21

BD = √21

Now that we can also notice that ΔADB is also a right triangle, therefore we can apply the pythagorean theorem:

AD² + BD² = AB²

7² + (√21)² = x²

x²               = 49 + 21 = 70

x                 = √70

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Joanne had $115 to spend at the mall. She spent 23% of that money on a shirt. How much did Joanne spend on the shirt?
-Dominant- [34]
The answer would be $26.45.
What you do is on a calculator: 115 x 23%
Hope this helps :)
3 0
3 years ago
Evaluate the expression for x = 2, y = -3, and z = -5. *<br> 2x + 3y + z<br> Your answer
Lunna [17]
Plug in

2(2) + 3(-3) + (-5)
4 + (-9) + (-5)
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-10

Answer is -10
2x + 3y + z = -10
6 0
3 years ago
Read 2 more answers
A college parking lot is 140 ft long and 90 ft wide. The college wants to increase the area of the lot by 29% by adding strips o
Novay_Z [31]
The initial dimenssions of the park lot are:

length: 140 ft
width: 90 ft

initial area: 140 * 90 = 12,600 ft^2

Area increased 29% = 12,600 * 1.29 = 16,254 ft^2

width of the strips: x

New length: 140 + x

New width: 90 + x

New area: (140+x)(90+x) = 16,254

Solution of the equation:

12600 + 230x + x^2 = 16254

=> x^2 + 230x - 3654 = 0

Use the quadratic formula.

x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =

x = 14.92

The other solution is negative so it is discarded.

Answer: 15 ft


 
5 0
3 years ago
Multiply the polynomials *<br> –6w(2w2 - 5)
Paul [167]

Answer:

-12w^3 + 30w.

Step-by-step explanation:

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= -6w* 2w^2 - 6w*-5

= -12w^3 + 30w.

5 0
3 years ago
A salesperson sells $2100 in merchandise and earns a commission of $273, What is the commission rate?
larisa86 [58]

if we take 2100 to be the 100%, what is 273 off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 2100 & 100\\ 273& x \end{array} \implies \cfrac{2100}{273}=\cfrac{100}{x}\implies \cfrac{100}{13}=\cfrac{100}{x} \\\\\\ 100x=1300\implies x=\cfrac{1300}{100}\implies x=13

3 0
2 years ago
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