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Answer:

21 feet

Step-by-step explanation:

12^2+x^2=20^2(Pythagorean theorem)

144+x^2=400

x^2=400-144

x^2=256

x=sqrt 256

x=16

y^2+12^2=13^2(Pythagorean theorem)

y^2+144=169

y^2=169-144

y^2=25

y=sqrt 25

y=5

distance between A and B=16+5

=21 feet

Answer:

2 km 7 m=2000m+7m=2007m=

1000

2007

km=1.007 km

Step-by-step explanation:

please mark me as brainlist

Veremos que el otro lado  del triangulo debe medir 20 metros.

Sabemos que para un triangulo rectangulo de catetos P y K, el area es:

A = P*K/2

En este caso, sabemos que el menor de los catetos mide 5 metros, entonces tenemos:

P = 5m

Y tambien sabemos que el area es de 50m^2, reemplazando eso en la ecuación de arriba obtenemos:

50m^2 = 5m*K/2

Ahora podemos resolver esto para K

(50m^2)/5m = K/2

10m = K/2

2*10m = K = 20m

El otro lado debe medir 20 metros.

Si quieres aprender m'as sobre triangulos, puedes leer:

https://brainly.com/question/25839532

Step-by-step explanation:

For the what value of C is the function f(x) = when?

c. x= -2

3. x= 1

x^2 -4 /(x+2)(x-3) otherwise

continuous at x= -2 ?

411.84 million acres

Hi there !

100% - 89% = 11% (not federally owned)

3744 m ............ 100%

x m........................11%

x = 11×3744/100

= 41184/100

= 411.84 million acres are not federally owned

Good luck !

The value of 8 in 5.18 is 0.08.

The value of the 8 in 5.81 is 0.8.

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

The number 42,316 is different from 61,432 because the digits are in different positions.

here, we have,

from the above we got idea about place value.

hence,

The value of 8 in 5.18 is. 0.08

the value of 8 in 5.81 is 0.8

To learn more on place value click:

https://brainly.com/question/27734142

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The population in the study are the people that are 71 years of age and older in the United States.

Population simply means the representative sample of a larger group. Here, the population in the study are the people that are 71 years of age and older.

Also, 0.097 is a statistic because it describes the proportion of the people that suffer from the disease for the sample of 856.

The technical conditions are that the sample should be collected from a normal distribution. In this case, since the sample size is large, then the sampling distribution of the sample means is normal.

Learn more about population on:

https://brainly.com/question/25630111

Answer:

Your answer is D.Divide

Step-by-step explanation:

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Hope you have a great day!

Answer:

30/29

Step-by-step explanation:

5 feet is 5*12 = 60 inches

Fraction is (60 in)/(58 in)

(60 in)/(58 in) = 30/29

Answer:

[tex]\sf{ (z-7)(z-2)}[/tex]

explanation:

[tex]\sf z^2 - 9z + 14[/tex]

break down, (7 * 2) = 14

[tex]\sf z^2 - 7z - 2z + 14[/tex]

collect in parenthesis

[tex]\sf z ( z - 7 ) -2(z - 7)[/tex]

collect in groups

[tex]\sf{ (z-7)(z-2)}[/tex]

Answer:

20 degrees

Step-by-step explanation:

90 degrees minus 70 degrees, because it is a 90 degree angle.

Answer:

Step-by-step explanation:

Cos(90-2x) . tan(180+x) + sin^2(360-x)​

= sin(2x) * tan(x) + sin²(x)

= 2sin(x) cos(x) sin(x)/cos(x) + sin²(x)

= 2sin²(x) + sin²(x)

= 3sin²(x)

Factorisation:

[tex]\rightarrow \sf 20mn-15m[/tex]

take 5m as common term

[tex]\rightarrow \sf 5m\left(4n-3\right)[/tex]

solving/simplifying:

[tex]\rightarrow \sf \left(\dfrac{5}{6}z\:+\:5\right)+\left(-\dfrac{1}{3}z-4\right)[/tex]

[tex]\rightarrow \sf \dfrac{5}{6}z+5-\dfrac{1}{3}z-4[/tex]

[tex]\rightarrow \sf \dfrac{5}{6}z-\dfrac{1}{3}z+5-4[/tex]

[tex]\rightarrow \sf \dfrac{5}{6}z-\dfrac{1(2)}{6}z+1[/tex]

[tex]\rightarrow \sf \dfrac{5-2}{6}z+1[/tex]

[tex]\rightarrow \sf \dfrac{3}{6}z+1[/tex]

[tex]\rightarrow \sf \dfrac{1}{2}z+1[/tex]

Answer:

[tex]5m(4n - 3)[/tex]

[tex]\dfrac12z+1[/tex]

Step-by-step explanation:

Given expression:

[tex]20mn-15m[/tex]

Rewrite 20 as [tex]4\cdot 5[/tex]

Rewrite 15 at [tex]3 \cdot 5[/tex]

Therefore,

[tex]20mn-15m=4\cdot 5m\cdot n-3 \cdot 5m[/tex]

Factor out common term [tex]5m[/tex] :

[tex]\implie 5m(4n-3)[/tex]

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

Given expression:

[tex]\left(\dfrac56z + 5\right)+\left(-\dfrac13z-4\right)[/tex]

Simplify:

[tex]\dfrac56z+5-\dfrac13z-4[/tex]

Group like terms:

[tex]\dfrac56z-\dfrac13z+5-4[/tex]

Combine like terms:

[tex]\dfrac12z+1[/tex]

Answer:

• 06/21/17

What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined 39.0 degrees with the horizontal

I need help

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Step-by-step explanation:

Answer:

4

Hope this helps ;)

Step-by-step explanation:

(12-8)x 3 - 2 x 7 = -2

√6 ≈ 2.44949

-2 + 2.44949

= 4

Answer:

$40.80

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percent, this is always done by simply dividing the percent, in this case, 20%, by 100%. So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

Second, you need to find out what 20% of your $34.00 meal cost is. This is always done by multiplying 0.20 by $34.00, or 0.20 x $34.00=$6.80. So, the amount of tip you are going to leave is $6.80.

This makes the total cost of your meal (to write on your charge slip or other payment)

$34.00 + $6.80 = $40.80.

Answer:

$40.80

Step-by-step explanation:

If you pay for the original cost of the dinner AND leave a 20% tip then the total amount paid will be 120% of the original cost (100% + 20% = 120%).

Convert 120% into a decimal:  120% = 120/100 = 1.2

So 120% of $34.00 = 1.2 × 34 = $40.80

14

Step-by-step explanation:

b×h×1/2

=7×4×1/2

=14

Answer:

Step-by-step explanation:

Answer:

y=-5x+35

Step-by-step explanation:

Use the formula y = mx + b

m = slope, so plug in -5 as the slope

To find x-intercept we set y=0

We want the x-intercept to be 7 so we can plug that into the equation too

0=-5(7)+b

Lastly solve for b and you get your answer

Which is y=-5x-35 :) hope this helps

Answer:

the answer is truly 28 person above is correct

Answer:

4 tables

Step-by-step explanation:

6 kids would sit at 3 tables and 4 kids will sit at one

Answer:

They will need 4 Tables.

Step-by-step explanation: we need to take the number of students and divide it by how many students can sit at a table. Since 20/6 is 3 and one third, we round up to make sure that every student can sit leaving us with 4 as the answer.

Answer : Volume  = 4/3πrcubed = 4/3.π.4.3cubed≈333.03814cm(cubed)

Hope that helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the following 3 points:

x      y

-56   66

-42   58

-28    50

Check the slope of two line segments between the three points:

(58 - 66)/(-42 - (-56))

= -8/14

= -4/7

(50 - 58)/(-28 -(-42))

= -8/14

= -4/7

As the slopes are the same, the 3 points are on a straight line with slope of - 4/7:

y = -4x/7  + C

Substitute x = -28 , y = 50 into the equation

50 = -4(-28)/7  +  C

50 = 16 + C

C = 34

y = -4x/7  + 34

Y-intercept at x = 0:

= 34

Answer:

C)  1340 days

Step-by-step explanation:

The composite function you have given is incorrect.

The composite function for this question is:

t(d) = 60d + 20

(as I have proven in a previous question)

Substitute d = 22 into the function:

t(22) = 60(22) + 20

        = 1320 + 20

        = 1340 days

Answer:

The area of a rectangle is the product of its dimensions. Your park has an area of

 (5/8 mi)×(2/3 mi) = 10/24 mi² = 5/12 mi²

Step-by-step explanation:

Answer:

9.6 cm

Step-by-step explanation:

Since the shapes are similar, we can write a proportion. Let x be the length of MN.

9/12 = 7.2/x Write a proportion.

9x = 12(7.2) Use cross products.

9x = 86.4 Multiply.

x = 9.6 Divide both sides by 9.

Side MN is 9.6 cm.