In this diagram, a triangular prism is cut by a plane as shown. What is the shape of the cross section?

Answer:

a = 137.6

Step-by-step explanation:

The building and the street make a 90 degree angle. You have the length b, which is the height 1,484ft. The angle B 84.7 is created where he stands and looks up.

First, find the missing  hypotenuse, c. Your angel A is 180 - 90 -84.7 = 5.3

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin( B)=opp/hyp

sin(84.7) = 1484 / c

c = 1484/sin(84.7)

c=1490.37

Find the last side of the triangle, in this case the distant from Leo to the building, using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} = c^{2} -b^{2} \\a^{2} =1490.37^{2} -1484^{2} \\a=137.6[/tex]

Answer:

B.

Step-by-step explanation:

Remember that graphically, a function and its inverse are reflections over the line y = x.

Given the graph of f, we see that h is not a reflection over the line y = x. So, we can eliminate choices A and C.

Function g is indeed a reflection of y over the line y = x. A function and its inverse is not its reflection over the x-axis so D is incorrect.

Hence, our answer is B.

Answer:

The answer is B. " the function g because the graphs of ƒ and g are symmetrical about the line y = x"

Answer:

[tex]\text{D. }f(x)=(x-3)^2(x-2)(x-1)[/tex]

Step-by-step explanation:

The equation below shows three zeroes at [tex]x=1[/tex], [tex]x=2[/tex], [tex]x=3[/tex]. By definition, these values of [tex]x[/tex] must yield a y-value of zero. Since the function bounces off of [tex]x=3[/tex], there must be two occurrences of it.

Thus, the equation of this line, in factored form, is [tex]\boxed{f(x)=(x-3)^2(x-2)(x-1)}[/tex]

Answer:

Ŷ = 1.3082X + 3.3436

Step-by-step explanation:

Given the data :

X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9

Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75

Using technology, the data above gave the resulting linear regression model :

Ŷ = 1.3082X + 3.3436

Slope of model = 1.3082

Intercept = 3.3436

Scatter plot is attached below :

Answer: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).

Step-by-step explanation:

Interpretation for 95% confidence interval:

A person can be 95% confident that the true population parameter lies in it.

here , population parameter = Population proportion of Americans who respond positively to an ad your agency is testing for release.

Required interpretation: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).

Answer:

B) -3

Step-by-step explanation:

1. First you have to write the equation in slope intercept form. To do that, you must have y be alone on one side.

2. move the 3x to the right side with the 5 by subtracting 3x from both sides. Since 3x will cancel on the left, y will be left alone. [tex]y=-3x+5[/tex]

3. Now that you're in slope intercept form, you can find the slope easily. The slope will always be the number in front of x. In this case, the number in front of x is -3. Therefore, -3 is your slope!

Answer:

Answer is B

Step-by-step explanation:

if you add 3x +y = 5 and work throu

Answer:

30.98

Step-by-step explanation:

To solve for the mean/average of a set of numbers, you add them and divide by the number of numbers/data values.

(22+37+49+15.92)/4 = 123.92/4 = 30.98

Hope this helps and sorry if I made a mistake. :)

Answer:

∠B = 86°

Step-by-step explanation:

Given ∠A and ∠B are supplementary angles.

That is , ∠A + ∠B = 180°

            ( 6x + 10)° + ( 4x + 30)° = 180°

             6x + 10 + 4x + 30 = 180

                 10x + 40 = 180

                 10x = 180 - 40

                     10x = 140

                      x = 14

Therefore, ∠A = (6x + 10) ° = (( 6 x 14) + 10)° = 94°

                ∠ B = ( 4x + 30)° = (( 4 x 14) + 30)° = 86°

Answer:

How many general admission tickets were​ purchased? __136__

How many upper reserved tickets we purchased? _300_

Step-by-step explanation:

Let the number of general tickets = g.

Let the number of reserved tickets = r.

6.5g + 8r = 3284

g + r = 436

     6.5g + 8r = 3284

(+)   -8g + -8r = -3488

--------------------------------

     -1.5g         = -204

g = 136

g + r = 436

136 + r = 436

r = 300

Answer:

How many general admission tickets were​ purchased? __136__

How many upper reserved tickets we purchased? _300_

Answer:

136 general admission tickets were purchased

300 upper reserved tickets were purchased

Step-by-step explanation:

This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:

[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]

Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:

[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]

Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:

[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

Let j represent the number of ounces of 100% juice in the mix. Then (51-j) is the number of ounces of 10% juice. The total amount of fruit juice in the punch mix is ...

  1.00j + 0.10(51 -j) = 0.70(51)

  0.90j = 51(0.70 -0.10) . . . . . . . . collect j terms, subtract 0.10(51)

  j = 51(0.60/0.90) = 51(2/3) = 34 . . . . . . . divide by the coefficient of j

The mixture should use 34 ounces of 100% juice and 17 ounces of 10% juice.

Answer:

((2a+b)/2 , a/2)

Step-by-step explanation:

The midpoint is the mean/average of both the x and y values.

Our x values are a+b and a

Our y values are a-b and b

The midpoint x value is (a+b + a ) /2 = (2a + b)/2

The midpoint y value is (a-b + b) /2 = (a)/2

The midpoint combines these two values to get ((2a+b)/2 , a/2) as our midpoint

Answer:

6 cm

Step-by-step explanation:

Volume of a prism= Length X Width x height

750 = 25 x 5 x h

750= 125h

750/125 = 125h/125

h= 6

Answered by Gauthmath

Answer:

sorry the diagram is not clear......

Answer:

I) 0.386 = 38.6% probability that exactly one six occurs.

II) 0.518 = 51.8% probability that at least one six occurs.

Step-by-step explanation:

For each throw, there are only two possible outcomes. Either it is a six, or it is not. The probability of a six being rolled is independent of other throws, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Thrown four times

This means that [tex]n = 4[/tex]

Probability of rolling a six:

Six sides, one of which is 6. So

[tex]p = \frac{1}{6} = 0.1667[/tex]

i) exactly one six occurs

This is [tex]P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.1667)^{1}.(0.8333)^{3} = 0.386[/tex]

0.386 = 38.6% probability that exactly one six occurs.

ii) at least one six occurs​

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.1667)^{0}.(0.8333)^{4} = 0.482[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.482 = 0.518[/tex]

0.518 = 51.8% probability that at least one six occurs.

Answer:

4d - 0.22

Step-by-step explanation:

f is an even function if f(-x) = f(x)

f is an odd function, if f(-x) = -f(x)

[tex] \csc( \frac{ - 3\pi \: x}{2} ) = - \csc( \frac{3\pi x}{2} ) [/tex]

Option B is an odd function

Answer:

∠ABC = 46°

Step-by-step explanation:

DB and BC are of same length (radius), making it an isosceles triangle.

The base of the triangle is the same at 23°, a total of 46°.

180° - 46° = 134°

But we need ∠ABC, and since points DBA lie on the circumference, it's a straight line.

Therefore, 180° - 134° = 46°

Answer:

108

Step-by-step explanation:

200 divided by 60 equals 3 then 36 times 3 equals 108

Answer:

120 heads

Step-by-step explanation:

The Experimental probability for heads is 36/60. now we have to find the experimental probability for 200 flips. so 36/60 = ?/200. We have to find a number that 60 multiplies by to get 200. That number is 200/60 = 20/6 = 3 1/3. So multiply 36 by 3 1/3: 36 * 3 = 108. 36 * 1/3 = 12. 108 + 12 = 120. So it is 120 heads

Answer:

2

Step-by-step explanation:

Given the nth term equation:

C(n) = - 6(-1/3)^(n-1)

The 2nd term :

C(2) = - 6(-1/3)^(2-1)

C(2) = - 6(-1/3)^1

C(2) = - 6(-1/3)

C(2) = - 6 * - 1/3

C(2) = 2

Answer:

306+7÷100=306.07 that is the answer

Answer:

B.

Step-by-step explanation:

The main reason for this is to research unfamiliar industries that might reveal good investment opportunities. When you conform to what you know, you fall into a comfort zone. This prevents you from taking the time to investigate and learn new things. In this scenario, investing everything in familiar stocks will prevent you from looking for new investment options in different industries which could have led to incredible investment opportunities. Therefore, it is a better choice to invest a large portion in safer familiar stocks but leave a certain percentage for riskier and newer investments.

Answer:

Why should you avoid investing all your money in familiar stocks?

A.

to increase the value of your returns

B.

to research unfamiliar industries that might reveal good investment opportunities

C.

to avoid selling at a loss

D.

to avoid diversifying into multiple investment options

Step-by-step explanation:

Answer:

[tex]4/12=x/18[/tex]

[tex]x=4*18/12[/tex]

[tex]x=6[/tex]

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hope it helps...

have a great day!!

Answer:

9) 5888

11) ?

Step-by-step explanation:

9) Formula = l x w x h / 3

16 * 24 * 46 / 3 = 5888

Volume = 5888, no units

I can't help with 11, im confused, sorry but hope it helps.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

8377.6 yards

Step-by-step explanation:

The formula for the volume of a cone is V=1/3hπr²

then ->

[tex] \frac{1}{3} \times 20 \times \pi \times {20}^{2} = \frac{8000}{3} \pi = 8377.58041 \: yards[/tex]

Answer:

x = 4  or x= -4

Step-by-step explanation:

2x^2 − 11 = 21

Add 11 to each side

2x^2 − 11+11 = 21+11

2x^2 = 32

Divide by 2

2x^2   /2  = 32/2

x^2 = 16

Take the square root of each side

sqrt(x^2) = sqrt(16)

x = ± 4

x = 4  or x= -4

Acceleration is the rate of change of velocity over time

The sled travels 100 meters in the first 10 seconds of its motion

The acceleration function is given as:

[tex]a = \frac 1{500}(20t^2 - t^3)[/tex]

When t = 10, we have:

[tex]a = \frac 1{500}(20*10^2 - 10^3)[/tex]

[tex]a = 2[/tex]

The distance at 10 seconds is then calculated as;

[tex]S = ut +\frac 12 at^2[/tex]

Where:

u = initial velocity = 0

So, we have:

[tex]S = 0 *10 +\frac 12 * 2 * 10^2[/tex]

[tex]S =100[/tex]

Hence, the sled travels 100 meters in the first 10 seconds of its motion

Read more about acceleration at:

https://brainly.com/question/605631

Answer:

y = − 4 + 4  x 3

x = − 3 − 3  y 4

Answer: L = 4 + w

A = 2P - 4

lw = 2(2l +2w) - 4

lw = 4(l + w) - 4

(w+4)w = 4 ( w+4+w) -4

(w +4)w = 4(2w + 4) - 4

w^2 + 4w = 8w + 16 - 4

w^2 + 4w = 8w + 12

w^2 - 4w - 12 = 0

( w - 6 )( w + 2 ) = 0

w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60

w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected

Step-by-step explanation:

Answer:

good for them i think

Step-by-step explanation:

this doesnt make any sense

Answer:

36÷12=3

12×3=36

Length is 12

Width is 3