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Dmitry [639]
3 years ago
12

HELP PLEASE I NEED HELPPPP

Mathematics
1 answer:
nlexa [21]3 years ago
3 0

Answer:

174 inches squared

Step-by-step explanation:

First, we have to remember what the area of a triangle is:

\frac{base*height}{2}

Since there are 4 of the same triangle, multiply the area of one triangle by 4:

\frac{10*8.7}{2}

\frac{87}{2}

43.5

43.5(4)=174

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At the beginning of a musical, four-fifths of the seats in the theater were filled. During intermission, 18 people left. If ther
Roman55 [17]

Answer:

there are 380 seats in total

Step-by-step explanation:

286 + 18 = 304 which is four-fifths of the seat.  since 304 seats is 80% of the total seats then if you divide it by 80 then multiply it by 100 you get 380.

so one fifth would be 76 seats and if you multiply it by 4 you get 304 which is four fifths of the seat.

8 0
3 years ago
Belinda's family goes through 572 gallons of milk in a year. How many gallons of milk does her family drink every week? (There a
Novay_Z [31]

572 gallons of milk / 52 weeks = 11 gallons of milk / week.

3 0
3 years ago
Derek scored a total of 34 points in the first four basketball games. If he continues to score at this rate, how many points wil
Rufina [12.5K]

Answer:

153 points

Step-by-step explanation:

Set up a proportion:

34/4 = x/18.

18/4 does not equal a whole number. So, reduce 34/4.

34/4 becomes (when divided by 2 on both the top and the bottom) 17/2.

18/2=9. 9*17=153.

3 0
3 years ago
8.Find the value of c that makes the expression be a perfect square trinomial p^2-30p+c
Darina [25.2K]
Hope this is the right one.

Problem 8
p^2 - 30p + c
<em>Step One</em>
Take 1/2 of - 30
1/2 * -30 = - 15

<em>Step 2
</em>Square -15
(-15)^2 = 225
c = 225

Problem Nine
\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} &#10;
a = 1
b = 4
c = -15
\text{x = }\dfrac{ -4 \pm \sqrt{4^{2} - 4*1*(-15) } }{2*1}
\text{x = }\dfrac{ -4 \pm \sqrt{\text{16} + \text{60} } }{2}

x = [-4 +/- sqrt(76)] / 2
x = [-4 +/- 2*sqrt19]/2
x = [-4/2 +/- 2/2 sqrt[19]
x = - 2 +/- sqrt(19) 

x1 = - 2 + sqrt(19)
x2 = -2 - sqrt(19)

These two can be broken down more by finding the square root. I will leave them the way they are.  It's just a calculator question if you want it to go into decimal form.

Problem Ten

a = 1
b = 4
c = -32

The discriminate is sqrt(b^2 - 4ac)
D = sqrt(b^2 - 4ac)
D = sqrt(4^2 - 4(1)(-32)
D = sqrt(16 - - 128)
D = sqrt(16 + 128)
D = sqrt(144)
D = +/- 12

Since D can equal + or minus 12 there must be 2 possible (and different) roots. As a matter of fact, this quadratic can be factored.
(x + 8)(x - 4) = y 
But that' s not what you were asked for.
The discriminate is >  0 so the roots are going to be real.
<em>Answer; The discriminate is > 0 so there will be 2 real different roots.</em>

4 0
3 years ago
HELP ME PLEASE!!
LUCKY_DIMON [66]

Using a system of equation, we have that:

a)

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

b)

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

Item b:

On-site service costs <u>3 times as much as at-store service</u>, thus:

x = 3y

By mail service costs <u>$10 less than at-store</u>  service, thus:

z = y - 10

Last week, the shop completed <u>15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100</u>, thus:

15x + 40y + 5z = 3100

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

Item c:

  • The cost of one on-site repair service is x.
  • First, replacing the first two equations into the third, we find y, and then with it we find x.

15x + 40y + 5z = 3100

15(4y) + 40y + 5(y - 10) = 3100

60y + 40y + 5y = 3150

105y = 3150

y = \frac{3150}{105}

y = 30

Then

x = 3y = 3(30) = 90

The cost of one on-site repair service is of $90.

A similar problem is given at brainly.com/question/24823220

3 0
3 years ago
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