Find the value of t in rhombus WXYZ.
х
40
W
Y
t+930
N

Answer:

Solution given:

perpendicular [P]=80ft

base[B]=18ft

hypotenuse [H]=?

By using Pythagoras law

H²=P²+B²

H²=80²+18²

H=[tex]\sqrt{6724}=82[/tex]

the length of the hypotenuse in feet is 82ft.

Answer:

The correct answer is d

Step-by-step explanation:

A graph of a non-vertical straight line is a linear function

Answer:

The leading term is 5x8. Since n is even and a is positive, the end behavior is down and up.

Answer:

12

Step-by-step explanation:

because you replace  8 with 3

Answer:

Step-by-step explanation:

[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]

x = -3 , 7

f (x) = g(x)

x ² − 8x −15 = −4x + 6

x ² − 8x − 15 + 4x − 6 = 0

x ² −4x−21 = 0

x ² −7x + 3x −21 = 0

x ( x − 7 ) + 3( x − 7 ) = 0

( x + 3 ) ( x − 7 ) = 0

x = −3, 7

Answer:

It already is in standard form btw

Step-by-step explanation:

Answer:

5690 is standard form

five thousand six hundred ninety is word form

5000+600+90 is expanded form

hope this helps

have a good day :)

Step-by-step explanation:

9514 1404 393

Answer:

  156°   or   13π/15 radians

Step-by-step explanation:

156 times 1° is 156°.

In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.

Answer:

x = 5

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.

Add 3 and subtract 2x from both sides of the equation:

4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)

4x - 2x = 7 + 3

2x = 10

Next, isolate the x by dividing 2 from both sides of the equation:

(2x)/2 = (10)/2

x = 10/2

x = 5

5 is your answer for x.

~

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

Subtract 2x from each side

4x-2x-3=2x-2x+7

2x -3 = 7

Add 3 to each side

2x-3+3=7+3

2x = 10

Divide by 2

2x/2 =10/2

x = 5

9514 1404 393

Answer:

  y = 2·3^x

Step-by-step explanation:

The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.

The multiplier is 2, and the base of the exponential factor is 3. That gives us ...

  y = 2(3^x)

Answer:

resizing by the factor of 5/7

x = 3.5 * 5/7

= 17.5/7

= 2.5

Step-by-step explanation:

You can see the full detailed explanation in the attached files

Answer:can you help me

write a letter to your friend about important of reading books?

Answer:

Area = 189 m^2

Step-by-step explanation:

This is a trapezium with height h=9m, base, b = 24, top, t = 18.

The area is given by

A = (base+top)*height/2

= (24+18)*9/2

= 189 m^2

Answer:

Number of tablet needed = 1 tablet

Step-by-step explanation:

Given:

Amount of calcium per day needed = 3 gram

Amount of calcium in a tablet = 300 mg

Find:

Number of tablet needed

Computation:

Number of tablet needed = Amount of calcium per day needed / Amount of calcium in a tablet

Number of tablet needed = 3gram / 300 milligram

Number of tablet needed = 300 milligram / 300 milligram

Number of tablet needed = 1 tablet

Answer:

400

Step-by-step explanation:

angles that are coterminal with the angle 400? => 4000 and 7600 are two positive coterminal angles.

Answer:

18% off

Step-by-step explanation:

i just took the test

Answer:

y-15=3x balakaksnzujsbhzbskndh

Answer:

x = - 6 , y = - 3

Step-by-step explanation:

y - 15 = 3x  => y = 3x + 15 ------- ( 1 )

-2x + 5y = - 3 --------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

-2x + 5 ( 3x + 15) = - 3

-2x + 15x + 75 = - 3

 13x = - 3 - 75

 13x = - 78

   x = - 6

Substitute x in ( 1 ) :

         y = 3x + 15

            = 3 ( - 6 ) + 15

            = - 18 + 15

          y  = - 3

Answer:

x = -1

y = 6

Step-by-step explanation:

We can multiply the second equation by two, so we can have opposite y terms:

2 (3x - 2y = -15)

6x - 4y = -30

Now, we can add the equations, and the y terms can cancel out:

  7x + 4y = 17

+ 6x - 4y = -30

13x = -13

x = -1

Now, we can plug in x:

3(-1) - 2y = -15

-3 - 2y = -15

-2y = -12

y = 6

Answer: 8

Step-by-step explanation

Answer:

$8

Step-by-step explanation:

If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.

[tex]-20-10+38=8[/tex]

Undefined.

All lines that are parallel to the y-axis have an undefined slope.

Answer:

This is an Undefined Slope

Answer: it’s 352425262625251452 is 4th of July and I am present

Step-by-step explanation:

Answer: [tex]66\pi \text{ cm}^{2[/tex]

Step-by-step explanation:

[tex]S=2\pi(8)(3)+2\pi(3)^{2}=\boxed{66\pi \text{ cm}^{2}}[/tex]

Answer:

84

Step-by-step explanation:

180-72-24

so the answers is 84

Answer:

84

Step-by-step explanation:

In all triangles, once the angles are added up the total will be 180° and so in this case first add then subtract.

72+24=96

180-96=84

Answer:

sylvia is 14 and brother is 7

Step-by-step explanation:

theres a seven year difference, and sylvia is twice as old as him, so that means that sylvia is 14 and her brother is 7

Answer:

80% decrease in the quantity over 7 days

Step-by-step explanation:

Given data

We have the function

f (t) = 310(0.2)24

the above function is similar to the exponential function

f (t) = P(1±r)^t

Now the value 0.2

This means that there is  80% decrease in the quantity over 7 days

Answer:

Expected value is 4,000

Step-by-step explanation:

To find expected value ⇒ multiply the value by it's probability

40% × ( -25,000 ) = - 10,000

Breaking means neither add nor subtract a given amount

20% × 0 = 0

35% × 40,000 = 14,000

∴ Expected value = -10,000 + 14,000 = 4,000

LOSS:                   -10,000

BREAK EVEN:       0

WIN:                       14,000

Expected value is 4,000

hope this helps....

Answer:

the answer is 31°...........

Answer:

288

Step-by-step explanation:

Take the area of every individual section, and add them together.

24

24

100

80

60

Answer:

17.5

Step-by-step explanation:

{ 1 [tex]\frac{1}{4}[/tex] = 5/4 }

1 [tex]\frac{1}{4}[/tex] * 42/3 = 5/4 * 42/3

= 210/12

= 17.5

The standard deviation of the data will be;

⇒ 4.13

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The data set is,

⇒ 23, 19, 28, 30, 22

Now,

Since, The data set is,

⇒ 23, 19, 28, 30, 22

Hence, The mean = 23 + 19 + 28 + 30 + 22 / 5

                            = 122/5

                            = 24.4

So, The standard deviation is;

√ (23 - 24.4)² + (19 - 24.4)²+(28 - 24.4)² + (30 - 24.4)² + (22 - 24.4)²/ (5-1)

⇒ √ 1.96 + 29.16 + 12.96 + 31.36 + 5.76 / 4

⇒ √ 81.2/4

⇒ √20.3

⇒ 4.13

Thus, The standard deviation of the data will be;

⇒ 4.13

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To calculate the standard deviation of the data set, we can use the formula:

$$ \sigma = \sqrt{\frac{1}{n}\sum_{i=1}^{n} (x_i - \mu)^2} $$

Where:

$x_i$ is each data point

$\mu$ is the mean of the data set

$n$ is the number of data points

For the data set given, the mean is $\mu = 24.4$

Plugging in the values into the formula, we get:

$$ \sigma = \sqrt{\frac{1}{5}\sum_{i=1}^{5} (x_i - 24.4)^2} = \sqrt{\frac{1}{5}( (23-24.4)^2 + (19-24.4)^2 + (28-24.4)^2 + (30-24.4)^2 + (22-24.4)^2 )} $$

After evaluating the expression, we get:

$$ \sigma = \sqrt{\frac{1}{5}(1.96 + 5.76 + 3.36 + 5.76 + 0.36)} = \sqrt{\frac{1}{5}(18.2)} = \sqrt{3.64} = 1.91 $$

So the standard deviation of the data set is 1.91.

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The value of x will be 2.067.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ eˣ = 7.9

Now,

Since, The expression is,

⇒ eˣ = 7.9

Take natural log both side, we get;

⇒ ln eˣ = ln 7.9

⇒ x = ln 79 - ln 10

⇒ x = 4.369 - 2.302

⇒ x = 2.067

Thus, The value of x = 2.067

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