Find the volume of a pyramid with a base area of 25 square centimeters and height of 3 centimeters

Answer:

5

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(0 - 4)² + (6 - 3)²

√(-4)² + (3)²

√(16) + (9)

√25

= 5

Answer:

easy that thing needs help

x = 8 × Cos( 72 )

x = 8 × Cos( 90 - 18 )

x = 8 × Sin( 18 )

x = 8 × 0.309

x = 2.472

x = 2.470

x = 2.500

x = 2.5

Answer:

Tony's solution strategy

Step-by-step explanation:

Given the equation that Lucas and Tony trying to solve expressed as: x^2=16x+25

This can be written in standard form as x^2 - 16x - 25 = 0

This can then be factorized using the general formula

x = -b±√b²-4ac/2a where a, b and c are constants

From the given expression;

a = 1, b = -16, c = -15

Hence the best strategy that would have worked based on the explanation is Tony's

Answer: Neither

Step-by-step explanation: got it right on khan

Answer:

Step-by-step explanation:

We'll first find out how long it takes for the account to have 2500 in it, then we'll add a year (we'll check ourselves anyway, just to be sure!) This is an exponential growth problem of the form

[tex]A(t)=P(1+r)^t[/tex] since the compounding is only done once a year. Filling in:

[tex]2500=2000(1.02)^t[/tex] Begin by dividing both sides by 2000 to get

[tex]1.25=(1.02)^t[/tex] In order to get that t down from its current position in the equation, we will take the natural log of both sides. This allows us to pull the t down and put it out front like this:

ln(1.25) = t ln(1.02)  Now divid both sides by ln(1.02) and you will see that

t = 11 years. At 11 years (rounded), the account will have

[tex]A(t)=2000(1.02)^{11}[/tex] = 2486.75 and after 12 years:

[tex]A(t)=2000(1.02)^{12[/tex] = 2536.48

t = 12 works!

The minimum number of complete years it would take the investment to increase to $2500 is 12 years.

Compound interest is when both the principal and the interest earned increases in value at the interest rate per period.

Number of years =  In(FV / PV) ÷ r

In(2500 / 2000) ÷ 0.02  

In (1.25) ÷ 0.02

= 11.2  years

= 12 years

To learn more about compound interest, please check: https://brainly.com/question/18760477

Answer:

B

Step-by-step explanation:

Because the equation can be written in the form (x-p)^2+(y-q)^2. So it represents a circle with the radius r=3 and the center of (5,0).

Answer:

C

Step-by-step explanation:

The circle equation (x-a)²+(y-b)²=r² has a radius of r and a center of (a,b).

You can expand your equation from (x-5)²+y²=9 to (x-5)²+(y-0)²=3².

Using this information, you can see that a=5, b=0, and r=3.

Therefore the center is (5,0) and the radius is 3.

**This question involves circle equations, which you may want to revise. I'm always happy to help!

Answer:

0

Step-by-step explanation:

-5x+9=-3x+9

-5x-(-3x)+9=9

-5x+3x=9-9

-2x=0

x=0/-2

x=0

The answer would be number 4, y=3/4x-6.

This is because both of the equations share the same slope of 3/4x.

Answer:

<k = 20

Step-by-step explanation:

Inscribed Angle = 1/2Intercepted Arc

<K = 1/2 (40)

<k = 20

Answer:

AB = 19.05

∠A = 45°

∠C = 45°

Step-by-step explanation:

To find a missing side length, Use Pythagorean Theorem

Pythagorean Theorem:  [tex]a^{2} +b^2=c^2[/tex]

Then fill in the dimensions given in the triangle

In this case, we're looking for b^2 so...

[tex]11^2+b^2=22^2[/tex]

[tex]121+b^2=484[/tex]

[tex]b^2=484-121[/tex]

b^2 = 363

[tex]\sqrt{363} =19.05[/tex]

so the answer is approximately 19

Now in this case we already know the measure of B by the 90° angle.

so if the total is 180, then 180 - 90 = 90 then divided by 2 for the 2 missing angles = 45°

so the answer is 45°

Answer:

AB=11SR3 or about 19.1.  Angle A is 30 degrees.  Angle C is 60 degrees.  SR(square root).

Step-by-step explanation:

Pythagorean Theorm for AB and Trigonometry for A and C. Hope it helps.

Answer:

Similar by SAS

Step-by-step explanation:

If you multiply the two given sides by 3/2 you will get the sides for the large triangle

3/2  * 10 = 30 / 2 = 15

3/2 * 24 = 72 / 2 = 36

Therefore they are similar by SAS postulate for similarity. Notice that the right angle is between the legs of the triangle. That is the main qualification that allows you to use SAS for similarity.

Find the other two angles of both the triangles, if they were similar then the triangles are similar

Answer:

It just makes doing things (like adding and subtracting other numbers) easier if the denominator is a real number. Other than that we just do it out of tradition

This step is done to make the denominator go from a complex number in the form a+bi into a purely real number in the form a^2+b^2 (where 'a' and b are any real numbers).

This is because multiplying a+bi with its conjugate a-bi leads to the following steps

(a+bi)(a-bi)

(a)^2 - (bi)^2 ... difference of squares

a^2 - b^2*i^2

a^2 - b^2*(-1) .... recall that i^2 = -1

a^2 + b^2

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

So for example, if your denominator was 2+3i, then you'd multiply that by the conjugate 2-3i and you'd end up with the final denominator of 2^2+3^2 = 4+9 = 13. In this case, a = 2 and b = 3.

Note: make sure to multiply both top and bottom by a-bi (not just the denominator).

Answer:

[tex]2.17 \times 10^{-1}[/tex]

Step-by-step explanation:

[tex](7 \times 10 ^{-6}) + 0.26 - (5 \times 10^{-2}) = \frac{7}{10^3} + \frac{26}{10^2}-\frac{5}{10^2}[/tex]

                                              [tex]= \frac{7 + (26 \times 10) - ( 5 \times 10)}{10^3}\\\\=\frac{7 + 260 - 50 }{10^3}\\\\=\frac{217}{10^3}\\\\= 2.17 \times 10^2 \times 10^{-3}\\\\= 2.17 \times 10^{-1}[/tex]

Answer:

$5500

Step-by-step explanation:

3500 + 0.05 * 40,000 = 5500

His gross salary in a month in which his sales amounted to $40,000 would be; 5500 dollars.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

It is given that man received a monthly salary of $3500 together with a commission of 5% on all sales over $5000 per month.

Let the x represents his gross salary in a month in which his sales amounted to $40,000.

Therefore,

x = 3500 + 0.05 (40,000)

x = 3500 + 2000

x = 5500

Hence,  his gross salary in a month in which his sales amounted to $40,000 would be; 5500 dollars.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Answer:

[tex]x^{\frac{21}{5}}[/tex]

Step-by-step explanation:

[tex]5^{th} \ root \ of \ x^7 = (x^ 7)^{\frac{1}{5}}[/tex]

[tex]Using \ the \ rule : \sqrt[n]{x} =x^{\frac{1}{n}} \\\\(x^a)^b = x^{ab}[/tex]

[tex](x^7)^{\frac{1}{5}} = x^{\frac{7}{5}}[/tex]

[tex]( x^{\frac{7}{5}})^3 = x^{\frac{21}{5}}[/tex]

Answer:

80/121

Step-by-step explanation:

For simplicity,

Probabilities of getting a red, a blue or a green in a single spin are, respectively, 4/11, 4/11 & 3/11.

Therefore, probabilities of getting 2 reds, 2 blues or 2 greens in 2 spins are, 16/121, 16/121 & 9/121 respectively.

Then, total probability of getting same colour both times would be 16/121 + 16/121 + 9/121 = 41/121.

Any other option would result in 2 different colours. Thus, the probability of getting two different colours in 2 spins = 1 - 41/121 = 80/121.

Answer:

Approximately 1,320 feet.

Step-by-step explanation:

Let one person be x miles from the skycraper, then the other one will be 5 - x miles away from it.

So we have the 2 equations:

tan 4 = h/x

tan 10 = h/(5 - x)        where h is the height of the skyscraper

From the first equation:

h = x tan 4

Substituting in the second equation:

tan 10 = x tan 4 / (5 - x)

5 tan 10 - x tan 10 = x tan 4

x tan 10 + x tan 4 = 5 tan 10

x = 5 tan 10 / ( tan 10 + tan 4)

= 3.58 miles

h = 3.58 * tan 4

= 0.25 miles

= 1320 feet approx.

Answer:

x = 2

Step-by-step explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{6x+2}{x +5}[/tex] = [tex]\frac{24-8}{8}[/tex] = [tex]\frac{16}{8}[/tex] = 2 ( multiply both sides by x + 5 )

6x + 2 = 2(x + 5)

6x + 2 = 2x + 10 ( subtract 2x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Answer:

Linear equations

Step-by-step explanation:

An easy and simple equation. F(t) = -15t +300

Answer:

La cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.

Step-by-step explanation:

Para responder la pregunta, se debe descomponer el número en cuestión:

87.684

8 = Indica la cantidad de decenas del número, es decir, 8 decenas (80).

7 = Indica las unidades dentro de la decena, es decir, 7 unidades más que 80.

.6 = Indica la cantidad de decenas del entero.

.08 = Indica la cantidad de centésimas del entero.

.004 = Indica la cantidad de milésimas del entero.

Así, la cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.

Answer:

6 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 + 3/4 = 5/4 which is 1 1/4 simplified.

Then add the whole numbers, 2 + 3 = 5

5 + 1 1/4 = 6 1/4

Tomas rides 6 1/4 miles everyday.

Answer:

Last Option is correct

Step-by-step explanation:

[tex]f(x) = 2x - 10[/tex]

[tex]y=2x−10[/tex]

[tex]x=2y−10[/tex]

[tex]2y−10=x[/tex]

[tex]2y=x+10[/tex]

[tex]y = \frac{1}{2} x + 5[/tex]

[tex]h(x) = \frac{1}{2} x + 5[/tex]

Answer:

X can be -8, 0, and 3

Step-by-step explanation:

-8x3=-24

0x3=0

3x3=9

so -24, 0, and 9 are all bigger than -30 because -30 is a negative number.

-24>-30

0>-30

9>-30

Hope this helps!

Answer:

4

Step-by-step explanation:

When you fold it to make it a cube, the number opposite to 1 is 4

Answer:

7

Step-by-step explanation:

Using exact values

(4tan30°)(5sin60°) - 6cos60°

= 20tan30°sin60° - 6cos60°

= 20 × [tex]\frac{1}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] - 6 × [tex]\frac{1}{2}[/tex]

= [tex]\frac{20}{2}[/tex] - 3

= 10 - 3

= 7

Answer:

6.804

Step-by-step explanation:

Given data:

（4tan30°)(5sin60°)-6cos60°​

Now it can be calculated as:

4(0.57)×5(0.86)-6(0.5)

2.28×4.3-3

9.804-3

6.804

Answer will be 6.804

Answer:

7/5

Step-by-step explanation:

Isolate x

12x-15=6-3x

12x-15+15=6-3x+15 (add fifteen, addition property of equality)

12x=6-3x+15

12x=21-3x (combine like terms)

12x+3x=21-3x+3x (add 3x, addition property of equality)

15x=21 (combine like terms)

15x/15=21/15 (divide by 15, division property of equality)

x=7/5 (simplify)

Answer:

- 1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

0 - 3 / 4 - (-2)

-3 / 6

= -1/2