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3 years ago

Find the angle measure of angle F

Mathematics

1 answer:

Colt1911 [192]3 years ago

6 0

Answer:

36 and 108

Step-by-step explanation:

the red lines indicate the sides are equal making it an isosceles triangle the angles opposide the sides are equal so x^2=5x+6 with guess and check I got x=6 and 6x6 is 36 and 5(6)+6 is 36 now to find the last angle, angle f just do 180- (36+36) you get 108

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Using radicals, write an equivalent expression for the expression y^1/5

Mkey [24]

Answer:

$\large\boxed{y^\frac{1}{5}=\sqrt[5]{y}}$

Step-by-step explanation:

$\text{Use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\to a^\frac{1}{n}=\sqrt[n]{a}\\\\y^\frac{1}{5}=\sqrt[5]{y}$

6 0

3 years ago

Brenda has a circular garden of radius 21 m . She ran round the garden twice .what distance did she cover

Pavlova-9 [17]

Answer:

Brenda ran 263.76 metres.

Step-by-step explanation:

The circumference of a circle is two times pi times its radius. Brenda rand that twice, so we need:

2 × 2πr

= 4πr

= 4 × 3.14 × 21m

= 263.73m

4 0

3 years ago

How do I make this bell curve

Zanzabum

The mean you found is correct, but the standard deviation is not. Recall that the standard deviation $\sigma_s$ ( $s$ for sample) of $n$ points is given by

$\sigma_s=\sqrt{\dfrac1{n-1}\displaystyle\sum_{1\le i\le n}(x_i-\bar x)^2}$

where $n=10$ is the sample size, $\bar x=3740$ is the sample mean, and $x_i$ are the prices listed in the circled column. So

$\sigma_s=\sqrt{\dfrac{(3640-3740)^2+(7595-3740)^2+\cdots+(3390-3740)^2}{10-1}}$

$\implies\sigma_s\approx1443.98\approx1444$

I can't tell if you need to provide any more info beyond this, but given there's a plot of a generalized bell curve, I think you're also supposed to label the plot.

At the center of the bell-shaped/normal distribution is the mean. Notice there are three tick marks to either side of the mean - these are probably supposed to represent prices that fall exactly 1, 2, and 3 standard deviations from the mean. These are, from left to right,

$\bar x-3\sigma_s\approx3740-3(1444)=-592$

$\bar x-2\sigma_s\approx3740-2(1444)=852$

$\bar x-\sigma_s\approx2296$

$\bar x+\sigma_s\approx5184$

$\bar x+2\sigma_s\approx6628$

$\bar x+3\sigma_s\approx8072$

8 0

3 years ago

BabaBlast [244]

The expression that represents the volume of the composite figure is $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$ . The correct option is the third option $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$

<h3>Calculating Volume </h3>

From the question, we are to determine the expression that represents the volume of the composite figure

The composite figure consist of a cylinder and a cone

∴ Volume of the composite figure = Volume of the cylinder + Volume of the cone

Volume of a cylinder = $\pi r^{2} h$

Where r is the radius

and h is the height of the cylinder

Volume of a cone = $\frac{1}{3} \pi r^{2} h$

Where r is the radius

and h is the height of the cone

Consider the composite figure

For the cylinder part

r = 5

h = 13

For the cone part

r = 5

h = 25 - 13 = 12

Thus,

Volume of the composite figure = $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$

Hence, the expression that represents the volume of the composite figure is $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$ . The correct option is the third option $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$

Learn more on Calculating volume here: brainly.com/question/16703501

#SPJ1

8 0

2 years ago

What is the vertex of the function?

Romashka [77]

Answer:

(4, -25)

Step-by-step explanation:

One way to answer this is to put the equation into vertex form.

f(x)= x^2 -8x -9 . . . . . given

Add and subtract the square of half the x-coefficient:

f(x) = x^2 -8x +(-8/2)^2 -9 -(-8/2)^2

f(x) = x^2 -8x +16 -25

f(x) = (x -4)^2 -25

Comparing this to the vertex form of a quadratic:

f(x) = a(x -h)^2 +k

we find that (h, k) = (4, -25). This is the vertex.

_____

<em>Alternate solution</em>

The line of symmetry for ...

f(x) = ax^2 +bx +c

is given by x = -b/(2a). For your given quadratic that line is ...

x = -(-8)/(2(1)) = 4

Evaluating f(4) gives the y-coordinate:

f(4) = 4^2 -8·4 -9 = -25

The vertex is (x, y) = (4, -25).

8 0

3 years ago