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Elodia [21]
4 years ago
11

Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch

es and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite’s other diagonal?
Mathematics
2 answers:
Effectus [21]4 years ago
7 0
21 inches, just took the test
Morgarella [4.7K]4 years ago
6 0

Answer:

21 inches is right i just took the e2020 assignment

Step-by-step explanation:

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The depth of the snow at Yellowstone National Park in April at the lower geyser basin was normally distributed with a mean of 3.
Leona [35]

Answer:

X =4.94\ in

Step-by-step explanation:

For a standard normal distribution of mean \mu_z = 0 and \sigma_z = 1

the statistic Z = \frac{X - \mu}{\sigma}

In this problem we look for the value of X that is 2 standard deviations above the mean.

If there are two standard deviations above the mean, then, in the standard normal distribution, the statistic Z = 2.

Then, we clear X.

2 = \frac{X -\mu}{\sigma}\\\\2\sigma = X - \mu\\\\\2\sigma + \mu = X\\\\

Where:

\sigma=0.52\\\\\mu=3.9\\\\X = 2(0.52) + 3.9\\\\X =4.94

7 0
3 years ago
4x^2−24x
DochEvi [55]

Answer:

See below.

Step-by-step explanation:

4x^2-24x

Find the GCF.

4 - 1, 2, 4

24 - 1, 2, 3, 4, 6, 8, 12, 24

The GCF of x^2 and x is x.

The complete GCF is 4x.

4x(x-6)

-hope it helps

4 0
3 years ago
The length of a rectangle is 2 foot less than 3 times its width. Find the the dimensions of this rectangle if the area is 96 squ
Xelga [282]
For example,area = a, length = l, width = w
First we write two equations. The easier equation is the area equation, which we know to be
a = l x w
So that the first equation is : 
<span>96 = l x w </span>

we make the second equation of the following statements :
<em>The length of a rectangle is 2 foot less than 3 times its width.</em>
<span>so it becomes :
l = 3w - 2
</span>
<span>To solve, we can use the substitution method. 
</span>
96 = l \times w\\96=(3w-2) \times w\\96=3w^{2}-2w\\3w^{2}-2w-96=0~~~~~~[now\ factor\ the\ equation]\\ (3w+16)(w-6)=0

3w+16=0\\3w=-16\\w= -\frac{16}{3}~~~~\Rightarrow~~~answer\ doesnt\ make\ sense\ , negative\ width.&#10;

w-6=0\\\boxed{w=6~~~~~~~\Rightarrow~~~~positive\ answer\ for\ width\ makes\ sense }&#10;

<span><em>So if our width is 6, Now substitute the value of w = 6 into equation 2 </em></span>

l=3w-2\\l=3(6)-2\\l=18-2\\l=16

So "w" = 6 and "l" = 16, and if we multiply them together, we get the correct area, 96. So our dimensions are 6 by 16.
6 0
3 years ago
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y=4x^2+5x-1
Ivanshal [37]
Answer:

Axis of symmetry: x=-\frac{5}{8}

Vertex: (-\frac{5}{8},-2\frac{9}{16})

Step-by-step explanation:

The given quadratic equation is

y=4x^2+5x-1

By comparing to the general quadratic function; y=ax^2+bx+c

We have a=4,b=5,c=-1

The equation of the axis of symmetry is given by the formula;

x=-\frac{b}{2a}

We got this formula by completing the square on the general quadratic function.

We substitute a=4 and b=5 to obtain;

x=-\frac{5}{2(4)}

x=-\frac{5}{8}
is the axis of symmetry.

To find the y-value of the vertex, we put x=-\frac{5}{8} into the function to obtain;

y=4(-\frac{5}{8})^2+5(-\frac{5}{8})-1

y=4(-\frac{5}{8})^2+5(-\frac{5}{8})-1

y=-\frac{41}{16}

The vertex of the given function is (-\frac{5}{8},-2\frac{9}{16})
4 0
4 years ago
X plus 4 over 3 = -2
xxMikexx [17]
X + 4/3 = - 2
x = - 10/3

i am a mathematics teacher. if anything to ask please pm me
5 0
4 years ago
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