Sasha makes a wooden base for a sculpture with the dimensions shown. The sculpture is too heavy for the base, so she needs to add a brace from point C to point E to make the base stronger.


How long does the brace need to be? Round your answer to the nearest tenth.
with explanation


A. 5.4

B. 2.6

C. 3.4

D.5.1

Answer: 432

Step-by-step explanation:

28 × 24 = 672

24 × 20 = 240

Difference = 672 - 240

Answer:

y = 8x^2 + 32x - 96.

Step-by-step explanation:

y=8(x+6)(x-2)

= 8(x^2 - 2x + 6x - 12)

= 8(x^2 + 4x - 12)

= 8x^2 + 32x - 96.

Answer:

765

Step-by-step explanation:

each time it is adding 115 to the number before it.

650+115=765

Answer: 8

I hope this helps! :)

Answer:

[tex]\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]

Step-by-step explanation:

we want to solve the following trigonometric equation:

[tex] \displaystyle - 2 { \sin}^{2} (\theta )+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]

The first step of solving trigonometric equation is to rewrite the equation in terms of one trigonometric function . With Pythagorean theorem, we know that sin²x=1-cos²x . It will be helpful to rewrite the equation in terms of one trig functions. Therefore, substitute 1-cos²[tex]\theta[/tex] in the place of sin²[tex]\theta[/tex]:

[tex] \displaystyle - 2 (1 - \cos ^{2} ) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)[/tex]

simplify:

[tex] \displaystyle\implies - 2 (1 - \cos ^{2} (\theta) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies- 2 + \cos ^{2} (\theta)+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies\cos ^{2} (\theta)+ \cos( \theta) -1 = 0 [/tex]

Consider cos² [tex]\theta\implies[/tex] x. Thus,

[tex]2 {x}^{2} + x - 1 = 0[/tex]

solving the quadratic equation yields:

[tex]{x}^{} = \frac{1}{2} \\ x = - 1[/tex]

back-substitute:

[tex] \begin{cases} \cos( \theta) = \dfrac{1}{2} \\ \cos( \theta) = - 1 \end{cases} \theta \in[0,2\pi)[/tex]

take inverse trig in both sides

[tex] \implies \begin{cases} \theta = \dfrac{\pi}{3} + 2n\pi\\\theta= \frac{5\pi}{3} + 2n\pi \\ \theta = \pi + 2n\pi\end{cases} \theta \in[0,2\pi) \\\\\implies\theta= \frac{\pi}{3}+\dfrac{2n\pi}{3},\theta\in [0,2\pi)\\\text{when n=0}\\ \implies \theta = \frac{\pi}{3} \\ \text{when n=1}\\ \theta= \pi\\ \text{when n=2}\\\theta=\frac{5\pi}{ 3} [/tex]

In conclusion,

[tex]\displaystyle\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}[/tex]

Due to the higher value of the mean absolute deviation, her scores were most spread out in creative writing.

In this problem, creative writing has the highest mean absolute deviation, hence, it is the elective in which her scores were most spread out.

More can be learned about the mean absolute deviation at https://brainly.com/question/3250070

Answer:

Step-by-step explanation:

distance = rate [tex]*[/tex] time

1 (mile) = rate [tex]*[/tex] 0.5 (hours)

[tex]1/0.5 =[/tex] rate

rate = 2 mph...

That however is not answer choice. I'm guessing the number in front of the mile didn't copy over. You can use the same method I did, but just plugging in the actual number instead of 1.

Answer:

1.2 m/s

Step-by-step explanation:

when t = 0, your equation after expanding the brackets will only be 0^2 + 4.3*0 + 4*0.3 = 1.2

Answer:

24.75

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Since the customers pay 11 dollars for 4 cans, first find how much one can costs by dividing the cost of 4 cans by the amount of cans given.

[tex]11 / 4 = 2.75\[/tex]

Now that we know they're paying 2.75$, multiply 2.75 by 9 to find the result.

[tex]2.75 * 9 = 24.75\[/tex]

That said, the answer is 24.75$

Answer:

$ 24 . 75

Step-by-step explanation:

Price PER can =   11 /4    

Multiply this for 9 cans

9 * 11/4 =

Answer:

24

Step-by-step explanation:

The height of the rectangular prism is 4 units. Each layer is 6 units so 6 x 4 = 24.

Answer:

I cannot tell the answer if u don't write the question properly u have to write how much person is in the elevator then only I can calculate

Answer:

[tex]v = \pi \: {r}^{2} \: h \\ but \: v \: = 1573\pi \\ h = \frac{v}{ {r}^{2} } \\ h = \frac{1573}{121} \\ h = 13 \: units[/tex]

I hope it's helpful

Answer:

-7, -5, -3, -1

Step-by-step explanation:

Let x be the smallest of the four consecutive odd integers. Then the next three consecutive odd integers are x+2, x+4, and x+6. We have:

[tex]3(x + x + 6) = 4(x + 4) - 12[/tex]

[tex]3(2x + 6) = 4(x + 4) - 12[/tex]

[tex]6x + 18 = 4x + 16 - 12[/tex]

[tex]6x + 18 = 4x + 4[/tex]

[tex]2x = - 14[/tex]

[tex]x = - 7[/tex]

So the four consecutive odd integers are -7, -5, -3, and -1.

Answer:

No answer

the answer is 6.5

Step-by-step explanation:

[tex](x - 4)2 = 5 \\ 2x - 8 = 5 \\ 2x = 13 \\ x = \frac{13}{2} = 6.5[/tex]

Answer: The principal believes that students have been taught adequately in class and should not spend too much time on homework since it's meant to be a revision of what they have learnt. However a maths honour 3 students spends thorough time studying and has the understanding that Mathematics is time consuming, hence will think otherwise.

The student feels that maths homework may take the time meant for all other subjects judging by the time he/she dedicates to work.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 and 4 are adjacent supplementary angles. This will mean that 180-68=112

<4=112 degrees

<3 is the same as 1 which is 68 since they are vertical angles.

<2 is also 112

Answer:

2=112

3= 68

4= 112

Step-by-step explanation:

Each line adds to 180

So subtract 68  and it will give you the opposite side(2)  112

the angle across from it has tha same value so 2 and 4 are the same mesure

Answer:

The answer sorta varies, for example

"1² + 2² = 3² " cannot form a triangle, same with 4² + 5² = 10², there are actually more numbers but im not sure XD

LMK if this is wrong <3

Answer:

P(Boston Red Sox) = 2/5

Step-by-step explanation:

The probability that the favorite team of a randomly selected baseball fan is the Boston Red Sox can be found by dividing the number of Boston Red Sox fans by the total number of fans.

It's given that there are 12 Boston Red Sox fans and 18 other fans. Therefore the total number of fans is 12 + 18 = 30.

If we divide the number of Boston Red Sox fans by the total number of fans, we get 12/30 = 2/5. Finally, we have P(Boston Red Sox) = 2/5.

[tex]\text{slope} = \dfrac{6-(-2)}{4-3} = \dfrac{6+2}1 = 8[/tex]

Step-by-step explanation:

(-1)⁴ - 11 = 1 - 11 = -10

0⁴ -11 = -11

1⁴ - 11 = -10

2⁴ -11 = -3

Answer:

See below ~

Step-by-step explanation:

Solving for x in ΔLMN

Angles in ΔLMN

Solving for y in ΔSTU

Angles in ΔSTU

⇒ Their angles are equal (in ΔLMN and ΔSTU)

⇒ ΔLMN and ΔSTU are similar

Answer: Median is 5

Mean is 7.5

Step-by-step explanation: Median: arrange from smallest to largest and chose the middle number

Mean is the average. Add all the numbers and divide by 8

Answer: m∠MON = 57°

Step-by-step explanation:

the third square (8 + 7). all other squares equal 14, but that one equals 15

The theorem state that the products of the lengths of the line segments on each chord are equal. The value of x from the figure is 15.75

The theorem state that the products of the lengths of the line segments on each chord are equal.

According to the given diagram;

9 * 21 = 12 * x

189 = 12x

Divide both sides by 12

12x/12 .= 189/12

x = 189/12

x = 15.75

Hence the value of x from the figure is 15.75

Learn more on Intersecting chord theorem here:https://brainly.com/question/23732231

#SPJ1

Step-by-step explanation:

x² x<1

-x²+4x-1 1<x<3

x-3 x>3

Feel free to ask question in the comments