Triangle ABC is similar to triangle DEC. What is the length of DE?

Answer:

Step-by-step explanation:

I don't think u can tell from that because u need the length of each movie

The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.

To obtain System B from System A, we can perform the following steps:

Start with System A:

System A:

x - 4y = 1

5x + 6y = -5

Solve the first equation in System A for x:

x = 1 + 4y

Substitute the value of x in the second equation of System A:

5(1 + 4y) + 6y = -5

Simplify and solve for y:

5 + 20y + 6y = -5

26y = -10

y = -10/26

y = -5/13

Substitute the value of y back into the equation we found in step 2:

x = 1 + 4(-5/13)

x = 1 - 20/13

x = (13 - 20)/13

x = -7/13

Write down the equations with the values of x and y:

System B:

x = -7/13

5x + 6y = -5

Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.

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Answer:

6.96 is the area of this triangle! So, option A is correct.

Hope this helps and please mark brainliest!

Answer:

Sometimes. Say x = 3 and y = 4. 3 + 4 = 7, 3 - 4 = -1. However, the subtraction problem can be greater than the addition if you add some negatives into the mix. Say x = 3 and y = -4. 3 + (-4) is the same as subtracting 4, which give you -1. However, when you subtract negative four, it's the same as adding four, which gives you seven.

Answer:

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 69.0 inches and a standard deviation of 2.8 inches.

This means that [tex]\mu = 69, \sigma = 2.8[/tex]

What is the bottom cutoff heights to be eligible for this experiment?

The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.037 = \frac{X - 69}{2.8}[/tex]

[tex]X - 69 = -1.037*2.8[/tex]

[tex]X = 66.1[/tex]

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

Answer:

C. 12

Step-by-step explanation:

50-15=35

35÷2.75=12.7272

Answer:

B.

Step-by-step explanation:

We are given:

[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]

And we want to select its equivalent form.

Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]

Distribute. Recall exponent properties;

[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]

Simplify:

[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]

This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.

Answer:

i dont see a picture?

Step-by-step explanation:

Step-by-step explanation:

the student who has the highest grades in a particular group of students and who gives the valedictory speech at a graduation ceremony compare salutatorian.

Answer:

45 cm

Step-by-step explanation:

You use the formulas 1/2*base*height for area of a triangle and edge squared for the square so you do 1/2*2.24*3 for the area of one triangle, then times this by 4 to account for all triangles, then you add this to 3*3 which is the area of the square

Answer:

7.02

Step-by-step explanation:

20 ¢ x 5 = 1.00

3 x 3.99 = 11.97

11.97 + 1.00 = 12.97

20.00 - 12.97 = 7.02

Answer:

Percentile 2020 Percent Change

18%           $4,480.43 30.8%

19%      $5,378.37 24.0%

20%   $6,368.35 24.3%

21%         $7,363.47 22.4%

Step-by-step explanation:

Answer:

16 every 2 years, or 8 more per year

Answer:

A. 72×9=1/8

Step-by-step explanation:

the other two are decimals so it is A

Hope this helps!!

Answer: -11

Step-by-step explanation:

4(-2)-3

-8-3

=-11

Answer:

Step-by-step explanation:

Think B cause if it was 3 in the bracket it be × by ⅓ so ⅓ does the opposite I think

Answer:

4:7

Step-by-step explanation:

32/98= 16/49  Square root: 16= 4   square root of 49 =7

4:7

Answer:

Step-by-step explanation:

Given that:

Find the volume of the cuboid!

Volume equation =

W × H × L =

5/8 × 2/3 × 3/4 =

(5×2×3)/(8×3×4) =

30/96 =

The volume = 5/16 cubic centimetres

____________________

#IndonesianPride - kexcvi

Answer:

Step-by-step explanation:

[2,∞)

Answer:

it's 2

Step-by-step explanation:

Answer:

i think that will be 27 because thats 3/5 of the total

Step-by-step explanation:

tell me if i got it right or wrong no hate

Answer:

[tex]x = \frac{3}{2} [/tex]

Step-by-step explanation:

[tex] \frac{x + 6}{x + 1} = \frac{6}{2} [/tex]

[tex] \frac{6}{2} = 3[/tex]

so, the solution of the equation will be as follows:

[tex] \frac{x + 6}{x + 1} = 3[/tex]

3(x+1) = x + 6

3x + 3 = x + 6

3x - x = 6 - 3

[tex]x = \frac{3}{2} [/tex]

so, the answer will be x = 3/2

Answer:

Option (1)

Step-by-step explanation:

By the inscribed angle theorem inside a circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

[tex]\frac{1}{2}[/tex][m(arc AB)] = m(∠ABC)

m(arc AB) = 2[m(∠ABC)]

x = 2(41°)

x = 82°

Option (1) is the correct option.

Answer:

Well, since x is bigger than negative 4, it cant be -5, so its either from -3 to 5.

since your question says to graph it,  i attached a blank graph. put the points on the blank graph and this will help you find your answer. hope i helped.

Step-by-step explanation:

Answer:

(x,y) ---→ ( x + 3 , y + 1 )

Step-by-step explanation:

Hello There!

All we have to do is pick one letter and count the units from the preimage to the translated image

To get to A' you have to from A and go up one unit to the right 3 units

So the translation is 1 unit up 3 units to the right or (x,y) ---→ ( x + 3 , y + 1 )

Answer:

[tex]\huge\boxed{\sf 1}[/tex]

Step-by-step explanation:

Given the expression:

= 9 - b

Given that b = 8

= 9 - 8

= 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Okay so we are asked to solve 9 - b, and we are told that b=8

Therefore this is just a matter of substitution:

9 - b

Substitute 8 for b:

9 - 8

Now just finish solving:

1

Therefore, the answer is 1

Hope this helped :)

Answer:

[tex]BA = 6.0[/tex]

[tex]BC = 13.4[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a) BA

Considering the tangent of angle C, we have:

[tex]tan\ C = \frac{BA}{AC}\\[/tex]

This gives:

[tex]tan\ 25 = \frac{BA}{12}[/tex]

Make BA the subject

[tex]BA = 12 * tan\ 25[/tex]

[tex]BA = 12 * 0.4663[/tex]

[tex]BA = 6.0[/tex] --- approximated

Solving (a) BC

Using Pythagoras theorem

[tex]BC^2 = BA^2 + AC^2[/tex]

[tex]BC^2 = 6.0^2 + 12^2[/tex]

[tex]BC^2 = 180[/tex]

Square root of both sides

[tex]BC = \sqrt{180[/tex]

[tex]BC = 13.4[/tex]

Answer:

0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period

Step-by-step explanation:

We have only the mean, so we use the Poisson distribution to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

It uses the estimate that the probability of a named Category III hurricane or higher striking that particular region of the coast in any one year is 0.05.

This means that [tex]\mu = 0.05n[/tex], in which n is the number of yeas.

If a homeowner takes a 30-year mortgage on a recently purchased property, what is the likelihood that the owner will experience at least one Category III hurricane during the mortgage period

30 years means that [tex]\mu = 0.05*30 = 1.5[/tex].

This probability is:

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

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2231 = 0.7769[/tex]

0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period

Let X become a variable refer to the number of Category ll hurricanes that occurred during the mortgage period. As per the information given, the variable x has a random variable.

For point a:

     [tex]\to P(X > 1) = 1 - P(X = 0)\\\\ \to P(X > 1) = 1^{-30} C_o (0.05)^0 (1 -0.05)^{30}\\\\ \to P(X > 1) = 0.7854[/tex]

For point b:

[tex]\to P(X > 2) = 1 - P(X =0) - P(X = 1)\\\\ \to P(X > 2) = 1 ^{-30} C_0(0.05)^0 (1 -0.05)^{30 -30} C_1 (0.05)^1+(1 - 0.05)^{29}\\\\ \to P(X > 2) = 0.4465[/tex]

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