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3 years ago

Jennifer’s math score for third quarter were 78, 89, 93, 73, 99, 87, 92 and 89 what is the range for her score?

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

7 0

The answer is D. 26 I hope this helps

love history [14]3 years ago

3 0

Answer : D

Explanation: Range means the amount in between 2 variables, the lowest and the highest. In this case 73 and 99.

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

wel

Answer:

$z=\frac{15\sqrt{3}}{2}$

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

$tan(60)=\frac{y}{a}$

now, we can solve for y

$y=atan(60)$

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

$tan(30)=\frac{y}{15-a}$

now, we can solve for y

$y=(15-a)tan(30)$

now, we can set them equal

and then we can solve for a

$atan(60)=(15-a)tan(30)$

$\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3$

$4\sqrt{3}a=15\sqrt{3}$

$a=\frac{15}{4}$

now, we can find b

$b=15-\frac{15}{4}$

$b=\frac{45}{4}$

now, we can use trig formula

$cos(30)=\frac{b}{z}$

now, we can find z

$z=\frac{\frac{45}{4}}{cos(30)}$

we can simplify it

and we get

$z=\frac{15\sqrt{3}}{2}$

4 0

3 years ago

The lengths of the sides of a triangle are 5, 12, and 13. What is the length of the altitude drawn to the side with length equal

mario62 [17]

Answer: using A= bh/2 THe height is 9.23

Step-by-step explanation: First, with the Right Angle at the bottom, usr the sides to compute the area: 12*5=60

THen Imagine the side=13 as the base, so you have b=13 for the formula

use the formula A= bh/2

60 = 13h/2 ==> 2(60) =13h --> 120/13 = h

h = 9.23

5 0

3 years ago

Read 2 more answers

I need help!!!! Evaluate 4/7 + 8/3 in fraction form

Reptile [31]

Answer:

3 5/21.
68/21

Step-by-step explanation:

<u>Given equation:</u>

4/7 + 8/3

<u>Solve:</u>

4/7 + 8/3
= 12/21 + 56/21
= $\frac{12 + 56}{21 + 0}$
= 3 5/21.
= 68/21.

8 0

2 years ago

Your friend has prepared his mountly budget and asks you if he has overlooked anything in this planning. Which of the following

cluponka [151]

The answer is " what if the electric bill increases?"

3 0

3 years ago

2. Consider the circle x^2−4x+y^2+10y+13=0. There are two lines tangent to this circle having a slope of 2/3.

likoan [24]

Answer:

a) The coordinates are (0.431, -2.646) and (3.568,-7.354)

b) The tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

Step-by-step explanation:

First, lets complete squares, by taking for each cordinate the square of a linear expression

0= x²−4x+y²+10y+13 = (x-2)²+ 4 + (y+5)²-25+13 = (x-2)²+(y+5)² - 8

Hence (x-2)² + (y+5)² = 8

Lets put y in function of x. We should obtain 2 functions f and g that represent the circle.

(y+5)² = 8 - (x-2)² = -x² + 4x + 4

$y = ^+_- \sqrt{-x^2+4x+4} -5$

Thus

$f(x) = \sqrt{-x^2+4x+4} - 5$

$g(x) = -\sqrt{-x^2+4x+4} - 5$

Lets find the derivate of each function and the points in which they reach the value 2/3. In those points the tangent line will have a slope of 2/3.

We may just find the values of x which the derivate of f is either 2/3 or -2/3.

$\frac{-x+2}{\sqrt{-x^2+4x+4}} = ^+_-\frac{2}{3} \Leftrightarrow \frac{x^2-4x+4}{-x^2+4x+4} = \frac{4}{9} \Leftrightarrow 9(x^2-4x+4) = 4(-x^2+4x+4) \\\Leftrightarrow 13x^2-52x+20 = 0$

The quadratic has roots

$\frac{52 ^+_-\sqrt{1664}}{26}$

one root is 3.568, which corresponds with g, and the other root is 0.431, corresponding to f.

Also g(3.568) = - 7.354 and f(0.431) = -2.646

This means that the coordinates are (0.431 , -2.646), (3.568 , -7.354) and the tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

5 0

3 years ago