Suppose a square pyramid has a height of 5 meters and a base whose area is 36 square meters.

Explain how to determine the slant height of the pyramid.

Consecutive angles of a parallelogram are supplementary, so:

[tex]2x+25+3x-5=180\\5x+20=180\\5x=160\\x=32[/tex]

This means [tex]m\angle P=2(32)+25=89^{\circ}[/tex] and that [tex]m\angle Q=3(32)-5=91^{\circ}[/tex].

Since opposite angles of a parallelogram are congruent,

[tex]\boxed{m\angle S=91^{\circ}, m \angle R=89^{\circ}}[/tex]

Answer:

-0.333, -1/7, 1/8

Step-by-step explanation:

1/8 is the greatest because it is a positive number while the other two numbers are negative.

-0.333 or -1/3 is smaller than -1/7.

The value of the tanA is 15/8, and the value of the 1 - cosA is 9/17 after calculating the base length which is 8 units.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

Here the diagram and some data are missing.

But using Pythagoras or trigonometric ratio we can find the length.

We have:

17sinA-15-0

sinA = 15/17

Using Pythagoras theorem:

Base length = √(17² - 15²) = 8 units

= tanA = 15/8

= 1 - cosA = 1 - 8/17 = 9/17

We can find the rest of the trigonometric ratio.

Thus, the value of the tanA is 15/8, and the value of the 1 - cosA is 9/17 after calculating the base length, which is 8 units.

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Step-by-step explanation:

So here...two triangle is measured in 78° and 30° ..here to find the value of third angle...

we need to subtract 180° from the sum of 78° and 30° ...cause the sum of all angle of triangle is 180° ..

x + 78° + 30° = 180°

x + 108° = 180°

x = 180° - 108°

x = 72°

hence the value of third angle is 72°....

Answer: 1.) 3 2/3  2.) 2 9/10  3.) 9 11/15   4.) 7 11/12

B. Question 2,

My answer is reasonable, because if we round 1 7/10 to 2 and 1 1/5 to 1

2+1=3 and my answer is 2 9/10. This estimate makes sense because 2 9/10 can be rouned to 3, meaning it is reasonable.

Step-by-step explanation:

1 1/6 + 2 3/6= 3 4/6

Simplifyed=3 2/3

1 7/10 + 1 2/10 = 2 9/10

7 5/15 + 2 6/15= 9 11/15

4 8/12 + 3 3/12= 7 11/12

The volume of the solid objects are 612π in³ and 1566πcm³

The given objects are composite figures consisting of two shapes.

The volume of the blue figure is expressed as;

Volume = Volume of cylinder + volume of hemisphere

Volume = πr²h + 2/3πr³

Volume =  πr²(h + 2/3r)

Volume =  π(6)²(13+2/3(6))

Volume = 36π(13 + 4)

Volume = 612π in³

For the other object

Volume = Volume of cylinder + volume of cone

Volume = πr²h + 1/3πr²h

Volume =  π(9)²(15) + 1/3π(9)²(13)

Volume=  81π (15+13/3)
Volume= 1566πcm³

Hence the volume of the solid objects are 612π in³ and 1566πcm³

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Answer:

C

Step-by-step explanation:

[tex]\textsf {Given :}[/tex]

[tex]\mathsf {x - 5 \leq -13}[/tex]

[tex]\textsf {Add 5 to each side of the inequality : }[/tex]

[tex]\mathsf {x - 5 + 5 \leq -13 + 5}[/tex]

[tex]\mathsf {x \leq -8}[/tex]

The possible values of x in the diagram are x = 25 and x = -1

The given parameters are:

Both angles are congruent and adjacent angles.

So, we have:

∠DAB = ∠DAC

Substitute known values

x² - 24x = 25

Subtract 25 from both sides

x² - 24x - 25 = 0

Expand

x² + x - 25x - 25 = 0

Factorize

x(x + 1) - 25(x + 1) = 0

Factor out x + 1

(x - 25)(x + 1) = 0

Expand

x - 25 = 0 or x + 1 = 0

Solve for x

x = 25 or x = -1

Hence, the possible values of x are x = 25 and x = -1

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manyy is really short time samma basyo is really an amazing

Answer:

5-y/5y

Sorry Im not to sure but maybe this will help?

Step-by-step explanation:

Answer:

The mean absolute deviation of this sample is 13.

Step-by-step explanation:

Mean absolute deviation is the sum of the absolute value of the differences between data values and the mean, divided by the sample size.

Answer:-3, -2, -1/10, -0.8, 0.8, 7

Step-by-step explanation:

Answer:

-7, rational

sqrt 10, irrational

sqrt 16 = 4, rational

52% = 0.52, rational

1.235, rational

[tex]\text{A rational number is a real number that is in the form of}~ \dfrac pq,\\\\\text{where p and q are integers and}~ q \neq 0\\\\\text{The real numbers that cannot be expressed as the ratio of two integers}~ \\\text{ are called Irrational numbers.}\\\\-7 = \dfrac{-7}1 \\\\\text{So}~ -7 ~ \textbf{is rational.}\\\\\\\sqrt{10} ~ \text{is irrational because 10 is not a perfect square.}\\\\\text{So}~ \sqrt{10}~ \textbf{is irrational.}\\\\\\[/tex]

[tex]\sqrt{16} = \sqrt{4^2} = \left(4^2 \right)^{\tfrac 12} = 4 = \dfrac 41\\\\\text{So,}~ \sqrt{16}~ \textbf{is rational.}\\\\\\52\% = \dfrac{52}{100}\\\\\text{So,}~ 52\%~ \textbf{is rational.}\\\\\\1.235 =\dfrac{1235}{1000}\\\\\text{So,}~1.235~ \textbf{is rational.}[/tex]

Answer:

2, 3, 6

Step-by-step explanation:

Simply try each value using long division.

2:

Since 5,238 ends in an even number, that automatically means it is divisible by 2.

5238/2=2619

Now for 3:

5238/3=1746 no remainder or decimal, so 3 also works

4:

You can either do long division again with 4, or you can see if 5238 divided by 2 (5238/2) is also divisible by 2. Since 2619 doesn't end in an even number, 4 is a no go.

Long division 5238/4=1309.5 decimal here, so 4 isn't an answer

5:

This is also very easy, simply check if the number ends in 0 or 5. Since 5,238 does not, 5 doesn't work either.

6:

You can do the same thing as with 4, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 2. Since 1746 ends in an even number, 6 also works.

Long division: 5238/6=873

9:

You can do the same thing as with 6, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 3.

1746/3=548 with a remainder of 2, which means 9 doesn't work

Long division: 5238/9=548.66 repeating

10:

Finally, 10 is another easy one. Simply check if the number ends in 0. 5,238 does not, so 10 doesn't work.

Answer:

its a such a hard questions i think you should ask to you're teacher ?

Answer:

whats the question

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The y-intercept is 8

The slope is -2x

Therefore the slope-intercept is y = -2x + 8

Answer:

S x W + 550 = answer

Step-by-step explanation:

eh u dont need to know, yw

Answer:

Step-by-step explanation:

S= total amount in savings acc.
W= # of weeks
You have 550 in your acc and your adding 70 every week?
S= 550+70w

Then for 11 weeks: Equation- S=550+70*11

70*11=770

S= 550+770 - S= 1320

Total after 11 weeks is 1320

Answer:

15(cm)

Step-by-step explanation:

48 + 2w = 78

2w = 30

w = 15(cm).

The amount that Noah pays to the credit union after 180 days will be $5143.85.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

We have

P = $5,000

r = 0.114 / 12 = 0.0095

n = 3

A = 5000(1 + 0.114)³

A = $5143.85

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The algebraic expression of the situation above is 4x - 100 = 400

Let

the amount of ice cream they serve in July = x + 100

the amount of ice cream they serve in June = x

They served twice as many customers in august as they did in June.

Therefore,

the amount of ice cream they serve in August = 2(x)

the amount of ice cream they serve in August = 2x

Therefore,

2x + x  + x + 100 = 400

4x - 100 = 400

4x = 500

x = 500 / 4  

x = 125  

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We can see that g(x) is a translation of 4 units to the left of f(x), then:

g(x) = log₃(x + 4).

Here we can see that g(x) is a shift of f(x). Is clear that the asymptote of g(x) is 4 units to the left of the asymptote of f(x), so we can say that g(x) is a shift of 4 units to the left of f(x).

Remember that for a given function f(x), an horizontal shift of N units is given by:

g(x) = f(x + N).

Then a shift of 4 units to the left is written as:

g(x) = log₃(x + 4).

Then the correct option is the last one.

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Answer:

5.3 is 5.259 rounded into the tenths place.

Answer:

(2, -16)

Step-by-step explanation: set both (x +2) and (x-6) = 0.

You get the two x-intercepts -2 and 6. Find the midpoint of the two intercepts by  -2 + 6 / 2 which gives you x=2. Then plug 2 in for x and solve the original equation. ( 2 - 6)(2+2) = -16. Therefore the vertex is at (2,-16).

Answer:

Step-by-step explanation:

f(x) = x^2 - 4x - 12

x = -(-4)/2 = 4/2 = 2

(2)^2 - 4(2) - 12 = 4 - 8 - 12 = -4 - 12 = -16

vertex: (2, -16)