Which expressions are equivalent to -3(t - 7 + 5t + 8)?

Answer:

The answer is 6.32

Step-by-step explanation:

According to the Altitude Geometric Mean Theorem, the length of the altitude of a triangle is the geometric mean of the lengths of the 2 segments is divides the hypotenuse into.

CD= Altitude

CD^2= 4 times 10

or

CD= The square root of 4 times 10

Square root of 4 times 10 is 6.3245553203

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of CD is 6.32 units. The correct option is C.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

In ΔBDC and ΔABC, the two angles are given,

∠D = ∠C = 90°

∠B = ∠B {Common}

Therefore, the two triangles are similar triangles, thus, the ratio of the sides can be written as,

CB / AB = CD / AC = DB / CB

Now, the ratio can be solved as,

CB / AB = DB / CB

CB / 14 = 10 / CB

CB² = 14 × 10

CB = √140

Further, in triangle ABC using the Pythagorean theorem, we can write,

AB² = CB² + AC²

14² = (√140)² + AC²

196 - 140 = AC²

AC = √56

Again, using the ratio of the similar triangle, we can write,

CD / AC = DB / CB

CD / √56 = 10 / √140

CD = (√56 × 10)/√140

CD = 6.32 units

Hence,  the length of CD is 6.32 units.

Learn more about Similar Figures:

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Answer:

y intercept: [tex]y = 1[/tex]

x intercept: [tex]x = -1[/tex] and [tex]x = -3[/tex]

Step-by-step explanation:

Given

The attached graph

Solving (a): The y intercepts

This is the point where [tex]x = 0[/tex]

From the attached graph, [tex]x = 0[/tex] when

[tex]y = 1[/tex]

Hence, the y intercept is 1

Solving (b): The x intercepts

This is the point where [tex]y = 0[/tex]

From the attached graph, [tex]y = 0[/tex] when

[tex]x = -1[/tex] and [tex]x = -3[/tex]

Hence, the x intercept are -1 and -3

Answer:

20 - x = 3x

Step-by-step explanation:

A number less than 20 amounts to three times the number

20 - x = 3x

Answer:

The answer is "16, 43, and 96".

Step-by-step explanation:

Given:

[tex]\sigma = 0.20\\\\c = 95\% = 0.95\\\\\therefore \alpha = 1- c = 1- 0.95 = 0.05\\\\\therefore \frac{\alpha}{2} = 0.025\\\\[/tex]

Using Z table:

[tex]\therefore Z_{\frac{\alpha}{2}} = 1.96\\\\[/tex]

For point a:

[tex]E = 0.10\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

    [tex]= (\frac{(1.96\times 0.20)}{0.10})^2\\\\= 15.3664 \approx 16[/tex]

so, The Sample size (n) = 16

For point b:

[tex]E = 0.06\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

   [tex]= (\frac{(1.96\times 0.20)}{0.06})^2\\\\= 42.6844444444\approx 43[/tex]

For point c:

[tex]E = 0.04\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

    [tex]= (\frac{(1.96\times 0.20)}{0.04})^2\\\\= 96.04\approx 96[/tex]

Answer:

= 3/5(x) + 3/5(x) + 2/5

= 6/5(x) + 2/5

= 2/5 (3x+1)

Step-by-step explanation:

Answer:  [tex]\frac{6}{5}x + \frac{2}{5}[/tex]

This is the same as writing  (6/5)x + 2/5

===================================================

Explanation:

Ignore the fraction [tex]\frac{2}{5}[/tex] for now.

The other terms will combine together since they are like terms. We'll add those terms to get:

[tex]\frac{3}{5}x+\frac{3}{5}x\\\\\left(\frac{3}{5}+\frac{3}{5}\right)x\\\\\frac{3+3}{5}x\\\\\frac{6}{5}x\\\\[/tex]

Then we tack on the [tex]\frac{2}{5}[/tex] we ignored earlier to get the final answer of [tex]\frac{6}{5}x+\frac{2}{5}[/tex]

Answer:

41.8°

Step-by-step explanation:

Opposite angles are equal.

Answer:

41.8 degrees

Step-by-step explanation:

They are vertical angles, meaning they are the same, just opposite one another.

Answer:

The equal is valid for x≤ 5/2

Step-by-step explanation:

sqrt(4x²-20x+25)=5-2x

Square both sides

(sqrt(4x²-20x+25))^2=(5-2x)^2

Foil the term on the right (5-2x)(5-2x) = 25 -10x-10x+4x^2 = 25 -20x+4x^2

(4x²-20x+25)=25-20x+4x^2

The left side is equal to the right side

We need to check for extraneous solutions

The break point is 5-2x =0

5 =2x

x =5/2

Check x < 5/2

Let x=0

sqrt(4x²-20x+25)=5-2x

sqrt(25)=5

True

Check x=5/2

sqrt(4x²-20x+25)=5-2x

sqrt(4(25/4)-20*5/2+25)=5-2(5/2)

sqrt(25-50+25)=5-5

0=0

True

Check x>5/2

Let x=10

sqrt(4x²-20x+25)=5-2x

sqrt(4*100-20*10+25)=5-2*10

sqrt(400-200+25)=5-20

sqrt(225) = -15

15 does not equal -15

False

The equal is valid for x≤ 5/2

Answer:

(1/2)z

Step-by-step explanation:

Answer:

x = 6

y = 24

Step-by-step explanation:

Recall: length of corresponding sides of similar figures are proportional to each other.

Thus:

4/12 = x/18 = 8/y

Find x:

4/12 = x/18

1/3 = x/18

Cross multiply

3x = 18

3x/3 = 18/3

x = 6

Find y:

4/12 = 8/y

1/3 = 8/y

Cross multiply

y = 8*3

y = 24

Answer:

Step-by-step explanation:

Answer:

Table B

first find cost of 1 book

cost of 1 book=$90/9

=$10

now cost cost of 10 books

cost of 11 books=$10*10

=$100

cost of 11 book =$10*11

=$110

Step-by-step explanation:

since the cost of 10 and 11 books match in  table B ,it is the correct answer

Answer:

1. 5.2

2. 5.7

3. 5.1

4. 5.425 or 5.4

Step-by-step explanation:

hope this helps :)

Answer:

1. 5.2

2. 5.7

3. 5.1

4. 5.4

Step-by-step explanation:

you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.

Answer:

Yes 5+2y=13 is a linear relationship

Answer:

n = 7

Step-by-step explanation:

Varies directly

w/n² = k

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

when n = 3, W = 117

k =117/3²

k = 117/9

k = 13

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

Find n when W = 637

637/n² = 13

637 /13 = n²

49 = n²

7 = n

Answer:

Area = 14¹/16 yd² or 14.0625 yd²

Step-by-step explanation:

2. The figure given is a square having equal sides of 3¾ yd each.

Formula for area of the square = a²

Where,

a = 3¾ yd

Plug in the value into the equation:

Area = (3¾)²

Change to improper fraction

Area = (15/4)²

Area = 225/16

Area = 14¹/16 yd² or 14.0625 yd²

in 12 key 5 black keys are appearing so consider x key will appear in 120 keys

120/x = 12/5

solving further,

x= 50

Answer - If the pattern shown continues, 50 black keys appear on a pipe organ with a total of 120 keys!

Answer:

log(16)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

log(64) - log(128) + log(32)

Step 2: Condense

Answer:

The answer is 77.27%

Step-by-step explanation:

Please mark brainliest!

Enjoy the rest of your day!

Answer:

77.2727.. (repeating)%

or 77 3/11 %

Although im not sure if fractions are accepted in percents, so stick to the first option

Step-by-step explanation:

A percent is simply [tex]\frac{}{100}[/tex]

How many 22's are there in 100? 100/22=4.54 repeating

So 22*4.54 repeating = 100

do the same to both sides of the equation

17 / 22

17*4.54 repeating

77.27272.../100

so 77.27272727... %

Answer:

4x7

Step-by-step explanation:

4x7=28

4+4+4+4+4+4+4=28

--Answer--

4 x 7 = 28

4 + 4 = 8 <- x 3 + 4 = 28

or splitting it up in some way.

Answer:

1 billion

Step-by-step explanation:

there are 7 billion people and out of that 7 billion , only 6 billion have cell phones and the remaining people don't have cellphones.

Working out:

7 -6=1

Answer:

The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: High school student.

Event B: Is on the swin team.

Probability of selecting a high school student:

Of the 1500 students, 200 are on high school. So

[tex]P(A) = \frac{200}{1500}[/tex]

Probability of selecting a high school student who swims:

Of the 1500 students, 45 are high school students who swim. So

[tex]P(A \cap B) = \frac{45}{1500}[/tex]

What is the probability that a high school member selected at random is on the swim team?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225[/tex]

The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]

Answer:

871 and 1/2 ft.  

Answer:

the number is -47..

Step-by-step explanation:

let the number be'x'

hope it helps.

[tex]\huge\bold{Given :}[/tex]

✎ Sum of two numbers = -43

✎ One of the number = 4

[tex]\huge\bold{To\:find :}[/tex]

✿ The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is\: -47.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

❥ Let the other number be [tex]x[/tex].

❥ As per the question, we have

[tex]sum \: of \: the \: two \: numbers = - 43 \\ ⇢ x + 4 = - 43 \\ ⇢ x = - 43 - 4 \\ ⇢ x = - 47[/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-47.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( - 47) + 4= - 43 \\➪ \: - 47 + 4 = - 43 \\ ➪ \: - 43 = - 43 \\ ➪ \: \: L. H. S. = R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Step-by-step explanation:

$39

The net worth should be considered as the $39.

We know that

Net worth = Total assets - total liabilities

here,

total assets = checking & savings + baseball card + check for work done

= $275 + $210 + $19

= $504

And, the total liabilities = owe + borrowed

= $415 + $50

= $465

So, the net worth be

= $504 - $465

= $39

Learn more about assets here: https://brainly.com/question/4029603

Answer: 18.5 inches

Step-by-step explanation:

The total snowfall that the students received at their school that winter will be the addition of the snowfall for each month and this will be:

= December snowfall + January snowfall + February snowfall

= 4.2 + 8.9 + 5.4

= 18.5

The total snowfall is 18.9 inches.

Answers:

============================================================

Explanation:

Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.

We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9

Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11

As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.

Answer:

The distance between the two towns is of 1000 km.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

3 cm represents a distance of 400 km.

What is the distance represented by 7.5 cm?

3 cm - 400 km

7.5 cm - x km

Applying cross multiplication:

[tex]3x = 400*7.5[/tex]

[tex]x = \frac{400*7.5}{3}[/tex]

[tex]x = 1000[/tex]

The distance between the two towns is of 1000 km.

Answer:

h(x)=f[g(x)]=0.7x-35

Step-by-step explanation:

In this case function f, which inputs a cost and outputs the cost after applying the $35 off coupon looks like this:

f(x)=x-35

where x is the cost of the purchase. In this case we are subtracting the $35 from the cost x.

Function g, which inputs a cost and outputs the cost after applying the 30% off coupon looks like this:

g(x)=x-0.3x

g(x)=0.7x

in this case we are subtracting 30 percent of the cost from the cost of the purchase.

So in order to find a function that represents the cost of the purchase when first applying the 30% coupon and then the $35 coupon we will need to get a composite function f(g(x)). Which means we need to substitute function g(x) into the f(x) function so we get:

h(x)=f[g(x)]=(0.7x)-35

or:

h(x)=0.7x-35

We can prove this function works when plugging x=$190 in so we get:

h(190)=0.7(190)-35

h(190)=133-35

h(190)=98

Answer:

mu = the population true mean time spent by teenagers playing computer game this year

Step-by-step explanation:

Dear student, there is no much information given to answer this question but we will try as much as possible to explain  (what is the parameter) of the true mean.

In 1990s;

μ = 10.2 hours/week

From the information given,we understand that the parameter is linked to the population, and we're looking for the population average time spent playing computer games by teens in the current situation.

In this situation, the population parameter is the population true mean mu = the population true mean.

Answer:

what is the question?

Step-by-step explanation:

Answer:

i answered

Step-by-step explanation: