the pair of figures is similar , find x

Answer:

320 cubic cm

Step-by-step explanation:

To answer a prism volume question, also see it as a shape (in this case a triangle) that is very thick.

First step is to calculate the area of the shape.  We all know the formula to calculate the area of a triangle: (b x h)/2.  And we those two measures.  The height of the triangle is b (8 cm), the base of the triangle is a (10 cm).

A = (b * h)/2 = (10 * 8) / 2 = 80 / 2 = 40 sq cm

Then we multiply the base area of the prism by its height to get the total volume. In this case, the height is also known, h = 8 cm.

V = b * h = 40 * 8 = 320 cubic cm

Answer:

320

Step-by-step explanation:

The volume of a prism is the height times the area of the base.

V = hA

The base is a triangle.  The volume of a triangle is half the base times height.

V = h (½ ab)

Given a = 10, b = 8, and h = 8:

V = ½ (8) (10) (8)

V = 320

Answer:

381.051178

Step-by-step explanation:

222 (tan) 60=381.051178

The height of the tree is 381.05 ft.

Given distance of man from the bottom of the tree is 220 ft.

Let height of the tree be x ft.

Now we have to look up at a 60 degree angle to see the top of the tree.

So we can write in trigonometric ratio form, [tex]tan60= \frac{perpendicular}{base}[/tex]

[tex]\sqrt{3} =\frac{x}{220}[/tex]   ( tan 60=[tex]\sqrt{3}[/tex])

[tex]x= 220\times\sqrt{3}[/tex]

[tex]x= 381.05 ft[/tex]

The height of the tree is 381.05 ft.

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Answer:

Step-by-step explanation:

5(x + 3)     Remove the brackets.

5*x + 3*5  Combine

5x + 15

Answer:

[tex]\huge\boxed{\sf{5x+15}}[/tex]

Step-by-step explanation:

Hello.

I hope you remember that the Distributive Property states that

a(b+c)=ab+ac :)

If not, no worries!

Let's simplify this expression:

[tex]\sf{5(x+3)[/tex]

[tex]\sf{5x+15[/tex]

Steps:

I distributed 5 by multiplying it times x and 3 and adding the products.

I hope it helps & have an outstanding day.

[tex]\boxed{imperturbability}[/tex]

Answer:

[tex]\boxed{\text{48 ft}}[/tex]

Step-by-step explanation:

The angle of depression from the camera at D and the angle of elevation from the target cars are congruent.

1. Distance of car A from tower

Consider ∆ACD

tan25 = 50/AC

AC  = 50/tan25 = 50/0.4663 = 107.2 ft

2. Distance of car B from tower

Consider ∆BCD

tan40 = 50/BC

AC  = 50/tan40 = 50/0.8391 = 59.6 ft

3. Distance from cars A and B

AB = AC – BC = 107.2 – 59.6 = 48 ft

The distance between the two cars is [tex]\boxed{\textbf{48 ft}}[/tex].

Answer:

79%

Step-by-step explanation:

The probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32 is 0.7881 = 78.81%

When the distribution is normal, we use the z-score formula.

In a set with mean  [tex]\mu[/tex]and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu=28,\sigma=5[/tex]

Find the probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.

This is the p-value of Z when X = 32. So

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

[tex]Z=\frac{32-28}{5}[/tex]

[tex]Z=0.8[/tex]

Z=0.8 has a p-value of 0.7881

0.7881 = 78.81% probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.

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ANSWER

The 35th term is -8

EXPLANATION

The nth term of an arithmetic sequence is given by

[tex]a_n = a_1 + d( n - 1)[/tex]

We have the 17th term to be;

[tex]a_{17}=47[/tex]

and the common difference is d=-3

We substitute to get:

[tex]47= a_1 + - 3(1 7- 1)[/tex]

[tex]47= a_1 + 16( - 3)[/tex]

[tex]47= a_1 - 48[/tex]

[tex]a_1 = 48 + 47 = 95[/tex]

We can now find the 35th term:

[tex]a_{35}=a_{1} + 34d[/tex]

[tex]a_{35}=95 + 34( - 3) = - 8[/tex]

[tex]

5(6\times2y+y)+3y(-2\times2-5) \\

5(12y+y)+3y(-4-5) \\

60y+5y+3y(-9) \\

60y+5y-27y \\

60y-22y \\

\boxed{38y}

[/tex]

29 out of 40 as a percentage is simply 29 divided by 40 (29/40): 0.725 = 72.5%

126 out of 200 as a percentage is the same process = 63%

Hope this helps!! :)

29 out of 40 as a percentage

126 out of 200 as a percentage is 63%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

To express 29 out of 40 as a percentage:

(29/40) * 100 = 72.5%

Thus, 29 out of 40 as a percentage is 72.5%.

To express 126 out of 200 as a percentage:

(126/200) * 100 = 63%

Thus, 126 out of 200 as a percentage is 63%.

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The answer to this problem is 0.80

The square root of 7/11 is 0.240522846.

I believe it's letter B

Answer:

Point B

Step-by-step explanation:

<UST is 30* and I believe <RUS is 30* as well.

8950.1 / 10000 = 0.89501...

1000 x 10 = 10000, so you’ll need to divide 8950.1 1000 times!

Answer: 228

Step-by-step explanation:

3 X 60 = 180

180 + 48 = 228

For this case we have that by definition, one minute equals 60 seconds. Then, we make the conversion:

[tex]\frac {60 \ s} {1 \ m} * 3 \ m = 180 \ s[/tex]

Thus, 3 minutes equals 180 seconds.

Now:

[tex]180 + 48 = 228[/tex]

So, it took Jason 228 seconds to complete a practice page in class.

Answer:

228 seconds

Answer:

2(x + 4)(x − 3)

Step-by-step explanation:

Hope it helped you

Answer:

2(x + 4)(x - 3)

Step-by-step explanation:

Given

2x² + 2x - 24 ← factor out 2 from each term

= 2(x² + x - 12)

To factor the quadratic

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)

The factors are + 4 and - 3, since

4 × - 3 = - 12 and 4 - 3 = + 1, thus

x² + x - 12 = (x + 4)(x - 3) and

2x² + 2x - 24 = 2(x + 4)(x - 3)

$9.95 - 30% = $6.97

False. It would be 5:2

Explanation

10/2=5

4/2=2

So 5:2

Answer:

No, False

Step-by-step explanation:

10:4 is equal to 10/4, and 5:1 is equal to 5/1.

5:1=5

10:4=2.5

2.5=/=5

Answer:

SPED

Step-by-step explanation:

STEP 1. YOU GOT THAT COVERED

STEP 2. GOOGLE SPED CAUSE YOU PROLLY DONT EVEN KNOW WHAT THAT IS

Answer:

2. 6j^2 + 3

Step-by-step explanation:

The answer is 8! or 40,320.

8*7*6*5*4*3*2*1=40,320

Answer:

Maybe you might want the long 4 people in the back and the tiny one in the ground just on their knees.(not the begging way)

Also have the tall people give piggy back hold from the tall people for the picture that way it will seen fun.

Step-by-step explanation:

It depends on the theme of the photo if it's painting and fun art or fun time with friends I'd prefer the piggy bag one

If a trip or group photo for a travel I'd pick choice one. It depends believe me there is more thank 5 ways too.

PLZZ I'M IN THE NEED OF BRAINLIST MARK ME PLZZZ!!!

Answer:

(x + 12)(x + 2)

Step-by-step explanation:

In order to factorize, we first have to break the term in the middle into two terms which add up to 14 and and multiply to 24.

For this, let's take a look at the factor pairs of 24. We have (1, 24), (2,12), (3, 8), (4, 6).

note that the 2nd pair works. 2 + 12 = 14, 2*12 = 24.

And now we rewrite the expression.

x^2 + 14x + 24

= x^2 + 12x + 2x + 24

Take out common factors as below

= x(x + 12) + 2(x + 12)

Note that (x+12) is a common factor in the 2 added expressions. So we take it out.

= (x+12)(x+2)

Done!!! Hope it helps, and if it does, please mark me brainliest...

B: -5x + 5y - 5

Hope this is the answer you're looking for (:

2x - 8x - 6y + 9 - 14 + x + 11y

-6x + x - 6y + 11y - 5

-5x + 5y - 5

So the answer should be B

Answer:

B

Step-by-step explanation:

An equation that represents the graph of g(x) include the following: B. [tex]g(x)=\sqrt[3]{x+2}[/tex].

In Mathematics, a translation is a type of transformation that shifts every point of a geometric object in the same direction on the cartesian coordinate, and for the same distance.

Based on the information provided in the diagram, we have the following:

(x, y)       →    (x + h, y + k)

(0, 0)     →    (-2, 0).

-2 = x + h

-2 = 0 + h

h = 0 - 2

h = -2 (2 units left)

0 = y + k

0 = 0 + k

k = 0.

In conclusion, a horizontal translation of 2 units to the left would map the parent cubic function f(x) to the transformed cubic function g(x);

g(x) = f(x + 2)

[tex]g(x)=\sqrt[3]{x+2}[/tex]

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Complete Question:

The graph of [tex]f(x) =\sqrt[3]{x}[/tex] is shown with g(x). Which equation represents the graph of g(x)?

[tex]g(x)=\sqrt[3]{x-2} \\\\g(x)=\sqrt[3]{x+2} \\\\g(x)=\sqrt[3]{x} +1\\\\g(x)=\sqrt[3]{x} -1[/tex]

The red triangles that show a 90° counterclockwise rotation of the blue triangle are in options 1, 2, and 5.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. ΔABC denotes a triangle with vertices A, B, and C.

The red triangles that show a 90° counterclockwise rotation of the blue triangle are in options 1, 2, and 5.

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Step-by-step explanation:

[tex]\begin{array}{ccc}1&-&d\\2&-&c\\3&-&a\\4&-&b\\5&-&f\\6&-&e\end{array}[/tex]

Value 1:

r = 5ft, h = 10ft. Substitute:

[tex]SA=2\pi(5)(10)+2\pi(5^2)=100\pi+50\pi=150\pi\ ft^2[/tex]

Value 2:

r = 2in, h = 4in. Substitute:

[tex]V=\dfrac{1}{3}\pi(2^2)(4)=\dfrac{1}{3}\pi(4)(4)=\dfrac{16\pi}{3}\\\\\pi\approzx3.14\to V\approx\dfrac{(16)(3.14)}{3}\approx16.75\ in^3[/tex]

Value 3:

r = 6m. Substitute:

[tex]V=\dfrac{4}{3}\pi(6^3)=\dfrac{4}{3}\pi(216)=4\pi(72)=288\pi\ m^3\\\\\pi\approx3.14\to V\approx288(3.14)=904.32\ m^3[/tex]

Answer:

a

Step-by-step explanation:

Credit union account

The savings account can a financial institution end is callable certificate of deposit. option D

Financial institutions have the right to terminate these accounts under certain circumstances, as outlined in their terms and conditions.

Reasons for termination may include customer inactivity, violation of account policies, changes in the institution's product offerings, or regulatory requirements.

Customers should carefully review the account agreements and be aware of any potential fees or penalties associated with account closure.

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Answer:

5) 140.8m^2   6) 360in^2

Step-by-step explanation:

5.

6.4 x 6.4 = 40.96

(7.8 x 6.4) ÷ 2 = 24.96

24.96 x 4 = 99.84

99.84 + 40.96 = 140.8m^2

6.

12 x 10 = 120in

13 x 10 = 130in

5 x 10 = 50in

(12 x 5) ÷ 2 = 30in

30 x 2 = 60in

60 + 50 + 130 + 120 = 360in^2

Answer:

3  2/3 miles

Step-by-step explanation:

distance = rate times time.

Here,

distance = (5.5 mph)(2/3 hr) = 3  2/3 miles

The sailboat can travel 3 2/3 miles in 2/3 hours by multiplying the speed (5 1/2 miles per hour) by the time (2/3 hours) to get the distance.

To determine how far a sailboat can sail in 2/3 hours when it can sail 5 1/2 miles in one hour, we need to perform a multiplication of the speed by the time. The speed of the sailboat is 5 1/2 miles per hour (which is the same as 11/2 miles per hour in improper fraction form), and the time is 2/3 hours.

Here are the steps to calculate the distance:

Convert 5 1/2 miles to an improper fraction: 5 1/2 = (5 times 2 + 1)/2 = 11/2.

Multiply the speed by the time: (11/2) times (2/3) = (11 times 2)/(2 times 3) = 22/6.

Simplify the fraction: 22/6 = 11/3 = 3 2/3 miles.

Therefore, the sailboat can travel 3 2/3 miles in 2/3 hours.

Answer:

(a) [tex]x ^ 2 + y ^ 2 = 6 ^ 2[/tex]

(b) [tex](x-1) ^ 2 + y ^ 2 = 1[/tex]

Step-by-step explanation:

Remember that to convert from polar to rectangular coordinates you must use the relationship:

[tex]x = rcos(\theta)[/tex]

[tex]y = rsin(\theta)[/tex]

[tex]x ^ 2 + y ^ 2 = r ^ 2[/tex]

In this case we have the following equations in polar coordinates.

(a) [tex]r = 6[/tex].

Note that in this equation the radius is constant, it does not  depend on [tex]\theta[/tex].

As [tex]r ^ 2 = x ^ 2 + y ^ 2[/tex]

Then we replace the value of the radius in the equation and we have to::

[tex]x ^ 2 + y ^ 2 = 6 ^ 2[/tex]

Then [tex]r = 6[/tex] in rectangular coordinates is a circle centered on the point (0,0) and with a constant radius [tex]r = 6[/tex].

(b) [tex]r = 2cos(\theta)[/tex]

The radius is not constant, the radius depends on [tex]\theta[/tex].

To convert this equation to rectangular coordinates we write

[tex]r = 2cos(\theta)[/tex]     Multiply both sides of the equality by r.

[tex]r ^ 2 = 2 *rcos(\theta)[/tex]    remember that [tex]x = rcos(\theta)[/tex], then:

[tex]r ^ 2 = 2x[/tex]        remember that [tex]x ^ 2 + y ^ 2 = r ^ 2[/tex], then:

[tex]x ^ 2 + y ^ 2 = 2x[/tex]         Simplify the expression.

[tex]x ^ 2 -2x + y ^ 2 = 0[/tex]     Complete the square.

[tex]x ^ 2 -2x + 1 + y ^ 2 = 1[/tex]

[tex](x-1) ^ 2 + y ^ 2 = 1[/tex]  It is a circle centered on the point (1, 0) and with radio [tex]r=1[/tex]

Answer:

137.5 miles

Step-by-step explanation:

1. Do 55/2 to account for the half hour.(should equal 27.5)

2. Do 55 x 2 to account for the 2 hour drive.(should equal 110)

3. Add everything up. 110 + 27.5 = 137.5 miles

ANSWER

137.5kmi

EXPLANATION

The relation between speed , time and distance is given by the relation:

[tex]speed = \frac{distance}{time} [/tex]

Therefore

Distance= speed × time

John was traveling at a speed of 55mph

for 2 ½ hours.

The distance covered will be:

=55×2.5mi

=137.5mi

Answer:

Step-by-step explanation:

graph y = 1/3x + 1/2  

the slope is 1/3

y intercept is 1/2 ( that would be on the y axis)

slope would be 1/3 . ..up one over three

plot points starting with 1/2 . . and then move the points up one over three

with Y less than that line . . .it would have to move to the right on the number line . . .so you shade the right hand side of the line on the graph