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gayaneshka [121]
3 years ago
15

* Find the length of BD. A

Mathematics
1 answer:
denpristay [2]3 years ago
7 0

9514 1404 393

Answer:

  BD = 17

Step-by-step explanation:

The Pythagorean theorem can be used twice:

  BC^2 + AC^2 = AB^2

  BC = √(AB^2 -AC^2) = √(25^2 -24^2) = √49 = 7

__

Likewise, ...

  DC = √(AD^2 -AC^2) = √(26^2 -24^2) = √100 = 10

Then ...

  BD = BC +DC = 7 + 10

  BD = 17

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Answer:

A!

Step-by-step explanation:

10 cubic feets volume is equivalent to 25.85 inches.

5 0
3 years ago
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Determine in which direction the parabola opens y=-3x^2+5x+11<br> up down<br> left <br> right
pav-90 [236]
We have that
y=-3x²<span>+5x+11

we know that
the equation of the parabola in standard form can be expressed in one of the following two ways
y=ax</span>²+bx+c
<span>the parabola opens up if a is positive and opens down if a is negative
and
x=ay</span>²+by+c
the parabola opens right if a is positive and opens left if a is negative
<span>
in this problem 
the equation is of the form
</span>y=ax²+bx+c<span>
a=-3
so
the parabola opens down

using a graph tool
see the attached figure
the vertex of a parabola is a maximum

the answer is
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3 0
4 years ago
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If 70% of a number is 42 and 15% of the same number is 9, find 85% of that number.
BigorU [14]

Answer:  51

Step-by-step explanation:

let x be the number.

(70%)x = 42

0.7 x = 42

x = 60

we check 15% x 60 = 0.15 x 60 = 9, which is true.

85% of that number = 85% x 60 = 0.85 x 60 = 51.

6 0
3 years ago
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Suppose a large shipment of laser printers contained 18% defectives. If a sample of size 340 is selected, what is the probabilit
Anestetic [448]

Answer:

The probability that the sample proportion will be greater than 13% is 0.99693.

Step-by-step explanation:

We are given that a large shipment of laser printers contained 18% defectives. A sample of size 340 is selected.

Let \hat p = <u><em>the sample proportion of defectives</em></u>.

The z-score probability distribution for the sample proportion is given by;

                         Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}}  }  ~ N(0,1)

where, p = population proportion of defective laser printers = 18%

            n = sample size = 340

Now, the probability that the sample proportion will be greater than 13% is given by = P(\hat p > 0.13)

         P(\hat p > 0.13) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}}  } > \frac{0.13-0.18}{\sqrt{\frac{0.13(1-0.13)}{340}}  } ) = P(Z > -2.74) = P(Z < 2.74)

                                                                      = <u>0.99693</u>

The above probability is calculated by looking at the value of x = 2.74 in the  table which has an area of 0.99693.

5 0
4 years ago
Can someone please help me with this
omeli [17]

Answers:

  • x = 3
  • CD = 21
  • DE = 16
  • CE = 21

=============================================================

Explanation:

The congruent base angles are D and E. Opposite those angles are the sides CE and CD. These opposite sides are the same length.

CE = CD

16x-27 = 4x+9

16x-4x = 9+27

12x = 36

x = 36/12

x = 3

This x value then leads to the following:

  • CD = 4x+9 = 4*3+9 = 12+9 = 21
  • DE = 7x-5 = 7*3-5 = 21-5 = 16
  • CE = 16x-27 = 16*3-27 = 48-27 = 21

We see that CD and CE are both 21 units long, which helps confirm we have the correct x value.

5 0
2 years ago
Read 2 more answers
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