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.

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:

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 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.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

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.

manyy is really short time samma basyo is really an amazing

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:

-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, -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)

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

More about the compound interest link is given below.

https://brainly.com/question/25857212

#SPJ1

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

Read more about angles at:

https://brainly.com/question/12064578

#SPJ1

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  

learn more on algebraic expression here:https://brainly.com/question/13223163

#SPJ1

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

Learn more on volume of composite figures here: https://brainly.com/question/1205683

#SPJ1

Answer:

5.3 is 5.259 rounded into the tenths place.

Answer:

B

Step-by-step explanation:

The y-intercept is 8

The slope is -2x

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

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.

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ1

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

Step-by-step explanation:

Answer:

15(cm)

Step-by-step explanation:

48 + 2w = 78

2w = 30

w = 15(cm).

Answer:

whats the question

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:

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

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

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.

Answer:

5-y/5y

Sorry Im not to sure but maybe this will help?

Step-by-step explanation:

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