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aev [14]
3 years ago
9

a playground area is going to be built in a zoo park. the shape of the playground is shown below. this are will be covered with

recycled rubber chips. installing the rubber chips costs $52.59 per square foot. how much will it cost to install the chips?

Mathematics
1 answer:
Triss [41]3 years ago
5 0

3+3+12+32=50

50x52.59=2,629.5

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What two numbers add to 8 and multiply to 28
anygoal [31]
Find numbers that multiply to 28 and add them to see if they add to 8
28=
1 and 28=29 not 8
2 and 14=16 not 8
4 and 7=11 not 8
that's it'
no 2 numbers
we must use quadratic formula

x+y=8
xy=28

x+y=8
subtract x fromb oths ides
y=8-x
subsitute
x(8-x)=28
distribute
8x-x^2=28
add x^2 to both sides
8x=28+x^2
subtract 8x
x^2-8x+28=0

if you have
ax^2+bx+c=0 then x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
so if we have
1x^2-8+28=0 then
a=1
b=-8
c=28

x=\frac{-(-8)+/- \sqrt{(-8)^{2}-4(1)(28)} }{2(1)}
x=\frac{8+/- \sqrt{-48} }{2}
x=\frac{8+/- 4 \sqrt{-3} }{2}
x=4+/- 2 \sqrt{-3}
x=4+/- 2i \sqrt{3}
there are no real numbers that satisfy this
5 0
3 years ago
Triangles PQR and RST are similar right triangles. ​ ​​Which proportion can be used to show that the slope of LaTeX: \overline{P
alukav5142 [94]

<em>Question:</em>

<em>Triangles PQR and RST are similar right triangles.  Which proportion can be used to show that the slope of PR is equal to the slope of RT?</em>

Answer:

\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}

Step-by-step explanation:

See attachment for complete question

From the attachment, we have that:

P = (-7,7)

Q = (-7,3)

R = (-4,3)

S = (-4,5)

T = (2,-5)

First, we need to calculate the slope (m) of PQR

Here, we consider P and R

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

P(x_1,y_1) = (-7,7)

R(x_2,y_2) = (-4,3)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{3 - 7}{-4 - (-7)} --------- (1)

Next, we calculate the slope (m) of RST

Here, we consider R and T

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

R(x_1,y_1) = (-4,3)

T (x_2,y_2)= (2,-5)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{-5 - 3}{2 - (-4)} ---------- (2)

Next, we equate (1) and (2)

\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}

<em>From the list of given options (see attachment), option A answers the question</em>

4 0
2 years ago
An exam worth 145 points contains 50 questions. The number of two-point questions is equal to 50 minus the number of five-point
abruzzese [7]

Answer:

Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.

Step-by-step explanation:

i) let the number of 2 point question is x.

ii) let the number of 5 point questions be y

iii) total number of questions is 50

iv) therefore x + y = 50

v) it is also given that 2x + 5y = 145

vi) solving for the two equations found in iv) and v). Multiplying iv) by 2 we get

    2x + 2y = 100

vii) subtracting equation vi) from equation v) we get 3y = 45.

viii) Therefore y = 15.

ix) using the value in viii) and substituting in iv) we get x + 15 = 50.

    Therefore x = 50 - 15  = 35

x) Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.

3 0
3 years ago
Read 2 more answers
alvaro pesa 13 kg menos que javier y 6 kg mas que maria si alvaro pesa 38 kg cuanto pesan javier y maria
Nataliya [291]

<span>Maria tiene 32 kg y javier tiene 51 kg
</span>
(google translate, bad spanish)
5 0
3 years ago
I WILL GIVE BRAINLIEST
Xelga [282]

Answer:

y = 6x

Step-by-step explanation:

For a vertical stretch, you simply multiply x by the factor you want to stretch it by. 3x • 2 is 6x.

5 0
3 years ago
Read 2 more answers
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