Find the missing side of each triangle. Leave your answers in simplest radical form.
5)
14
х
11
V226
х
7)
6
χ
7
x
13
5V2
P
Oh I

Find The Missing Side Of Each Triangle. Leave Your Answers In Simplest Radical Form.5)1411V2267)67x135V2P

Answers

Answer 1

Answer:

5) [tex]x=\sqrt{317}[/tex]

6) [tex]x = \sqrt{186}[/tex]

Step-by-step explanation:

You have to know Pythogeroem theorem, which is:

[tex]a^2 +b^2 = c^2[/tex],   where a, b are the sides of the triangle and c is the hypothesis (the side in front of the 90° angle)

5)

Plug in the numbers into the equation, make sure c is the hypothesis (the side in front of the 90° angle). Hypothesis is x in this example.

[tex]14^2+11^2 = x^2\\196 + 121 = x^2\\\sqrt{196 + 121} = x\\\sqrt{317} = x[/tex]

6) Hypothesis is [tex]\sqrt{226}[/tex]

 [tex]7^2 + x^2 = \sqrt{226}^2\\7^2 + x^2 = 226\\49 + x^2 = 226\\x^2 = 186\\x= \sqrt{186}\\[/tex]

Same steps for 7) and 8)


Related Questions

5 How many balls can Brad put in a box that has 6 x 6 balls in the bottom layer and 5
layers? Show your work.

Answers

A product is the outcome of multiplication. Brad can put 144 balls in the box.

What is multiplication?

A product is the outcome of multiplication or an expression that indicates the elements that will be multiplied.

Given that the bottom layer of the box has 6×6 balls, while the box has 5 layers. Since one layer is already arranged, therefore, there are only 4 layers left in which each layer will have 6×6 balls. Therefore, the total number of balls is,

[tex]\text{Total number of ball} = 4 \times 6\times 6 = 144[/tex]

Hence, Brad can put 144 balls in the box.

Learn more about Mulitplication:

https://brainly.com/question/14059007

#SPJ1

Giving solver brainliest!

Answers

2y = 6 is the answer

6. You roll a number cube once. What is the theoretical probability that you roll a 5 or 6?

Answers

Answer:

2/6, 1/3, 33.33%

Step-by-step explanation:

To roll a 5 or 6, meaning 2 numbers.

There are a total of 6 numbers on the die.

Therefore, it would be 2 out of 6, or 2/6.

Simplified: 1/3 or 33.33%

A diesel train left Bangalore and traveled west at an average speed
of 59 km/h. A freight train left at the same time and traveled in the
opposite direction with an average speed of 67 km/h. Find the number of
hours the freight train needs to travel before the trains are 1008 km
apart.

Answers

Answer:

8

Step-by-step explanation:

we'll make x the number of hours and set up the following equation:

59km x + 67km x = 1008km

Now we solve for x(hours)

126x = 1008

x = 8

(What the domain and range )
PLEASE HELPP I GIVE OUT MORE POINTS AND BRAINIST ONLY IF YOUR RIGHT THO I DO CHECK IT PLEASE AND THANK YOU !!

Answers

Answer:

Domain:  0 ≤ x ≤ 4

Range:  0 ≤ y ≤ 64

Step-by-step explanation:

Information

Domain: set of all possible input values (x-values)

Range: set of all possible output values (y-values)

From inspection of the diagram, the minimum value of x is 0 and the maximum value of x is 4.

Therefore, the domain is:  0 ≤ x ≤ 4

From inspection of the diagram, the minimum value of y is 0 and the maximum value of y is 64.

Therefore, the range is:  0 ≤ y ≤ 64

Remember:-

If a pair be (x,y) then

x is domainy is range

hence

Here x goes from 0 to 4 so domain is

[0,4]

Y goes from 0 to 64 hence range is

[0,64]


A medical researcher needs 5 people to test the effectiveness of an experimental drug. If 14 people have volunteered for the test, in how many
ways can 5 people be selected?

Answers

byAnswer: doing the trials/tests

Step-by-step explanation: Learn With Brainly

Please help! Area of part of a circle!!!

Answers

The sector (shaded segment + triangle) makes up 1/3 of the circle (which is evident from the fact that the labeled arc measures 120° and a full circle measures 360°). The circle has radius 96 cm, so its total area is π (96 cm)² = 9216π cm². The area of the sector is then 1/3 • 9216π cm² = 3072π cm².

The triangle is isosceles since two of its legs coincide with the radius of the circle, and the angle between these sides measures 120°, same as the arc it subtends. If b is the length of the third side in the triangle, then by the law of cosines

b² = 2 • (96 cm)² - 2 (96 cm)² cos(120°)   ⇒   b = 96√3 cm

Call b the base of this triangle.

The vertex angle is 120°, so the other two angles have measure θ such that

120° + 2θ = 180°

since the interior angles of any triangle sum to 180°. Solve for θ :

2θ = 60°

θ = 30°

Draw an altitude for the triangle that connects the vertex to the base. This cuts the triangle into two smaller right triangles. Let h be the height of all these triangles. Using some trig, we find

tan(30°) = h / (b/2)   ⇒   h = 48 cm

Then the area of the triangle is

1/2 bh = 1/2 • (96√3 cm) • (48 cm) = 2304√3 cm²

and the area of the shaded segment is the difference between the area of the sector and the area of the triangle:

3072π cm² - 2304√3 cm² ≈ 5660.3 cm²

Find the slope formula (2,8) and (4,14)

Answers

Answer:

3

Step-by-step explanation:

The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], plugging in the given values, we'll have: [tex]\frac{14-8}{4-2}[/tex]

[tex]\frac{14-8}{4-2}[/tex]

[tex]\frac{6}{2}\\\\=3[/tex]

hope this helps!

Answer:

The slope is 3.

Step-by-step explanation:

You have to solve this using the slope formula in order to get the right answer.

[tex]\underline{\text{SLOPE:}}[/tex]

[tex]\Longrightarrow: \sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]

y2= 14

y1= 8

x2= 4

x1= 2

Rewrite the problem.

[tex]\sf{\dfrac{14-8}{4-2}=\dfrac{6}{2}=\boxed{\sf{3}}[/tex]

Therefore, the slope is 3, which is the correct answer.

I hope this helps. Let me know if you have any questions.

Use the diagram shown to answer the question.

What is the value of tan 0?

Answers

Answer:

tan is opposite over adjacent soo 12/15=4/5

Step-by-step explanation:

soo the answer is C

HELP WILL MARK BRALINEST

Answers

The root of the system of equations is x = -1

That is, the lines intersect at (x,y)= (-1,-5)

what is greater a eight grader has a brother and a sister or that there are two boys in the family

Answers

Answer:105

Step-by-step explanation:

The area of a rectangular knitted blanket is 33x' - 5x-2. What are the possible dimensions of the blanket? Use factoring. ​

Answers

Answer:

12

Step-by-step explanation:

I am in 12th grade and make straight A;s trust me

NO LINKS!!!!

Edward opens up a savings account with $250. The bank gives him an interest rate of 2.8% per year (simple interest). About long will it take for Edward to double his money?
(SHOW WORK!!)

Equation:________________

Answer:_________________​

Answers

Step-by-step explanation:

The interest I per t years is 2.8% of invested amount P

I = Prt

Let the interest amount is same as invested amount, then our equation is

P = Prt or1 = rt or1 = 0.028t           2.8% converted to 0.0028

Find the value of t

t = 1/0.028t = 35.71 or roughly 36 years

Answer:

Equation:  250(1 + 0.028t) = 500

Answer:  36 years

Step-by-step explanation:

Simple interest formula

A = P(1 + rt)

where:

A = final amountP = principalr = interest rate (in decimal form)t = time (in years)

Given:

A = double $250 = $500P = $250r = 2.8% = 0.028

Substitute given values into the formula and solve for t:

250(1 + 0.028t) = 500

⇒ 250 +7t = 500

⇒ 7t = 250

⇒ t = 250/7

⇒ t = 35.71428571...

So it will take approximately 36 years for Edward to double his money.

please help im bad at math

Answers

Answer:

1,000 mm³

Step-by-step explanation:

To find the volume we use the formula:

V = L×W×H   (L=length, W=width and H=height)

Since we are given all values we substitute the values to give us:

V= 10×10×10 = 1000

Units will be mm³ as this is volume.

Answer:

if it's area, it's the first one

3. If the circle is 360 degrees and there are 12 angles in the circle below, how many degrees are in each angle?

Answers

If we have 360 degrees and need to divide it into 12 equal angles, then all we have to do is a simple division problem.

360 / 12 = 30

There are 30 degrees in each angle.

Hope this helps!

Answer:

30 i think ???

Step-by-step explanation:

16. The figure below is a regular hexagon inscribed
inside a circle that has a radius of 6 in.
What is the area of the hexagon?

Answers

Answer:

The answer my good friend is 7776 because if you do 6 to the 5th power  or 6x6x6x6x6 you will get 7776.

Step-by-step explanation:

An automobile traveled 320 miles in 6 hours. What is its average speed?

Answers

Answer:

53.3 somewhere like that

Step-by-step explanation:

A grocer sold 39 melons for $1.56 each. What was the total amount of the sale?

Answers

39x1.56= 60.84
The total amount of the sale is $60.84

im not sure how to solve this can somebody help

Answers

The population of organisms is described by the following exponential equation:

P(t) = 18,000*(0.9966)^t

How to get the exponential equation?

The general exponential equation is:

P(t) = A*(b)^t

Where A is the initial value, b depends on the percentage that changes, and t is the variable.

In this case, the population decreases by 3.4%, then we have:

B = 1 - 3.4%/100% = 0.9966

And the initial value is 18,000 organisms, replacing that in the general equation we get:

P(t) = 18,000*(0.9966)^t

This is the equation that represents the population.

If you want to learn more about exponential equations, you can read:

https://brainly.com/question/11832081

Need Help solving Please and thank you

Answers

Step-by-step explanation:

area of inner rectangle = 10*8 = 80 units^2

area of outer rectangle = 12*10 = 120 units^2

area of shaded portion = 40units^2

What is the dividend if the quotient is 36 the divisor is 24 and the remainder is 9.​

Answers

I believe the answer is 873. You multiply 36 and 24 then add by 9 :) correct me if I’m wrong tho

HELPPPP Me I dont KNOW HOW TO DO MATH

Answers

Step-by-step explanation:

The lines meet at (6,0)

That is the solution to the system of equations.

2. The school play started at 8:15 P.M.
and ended at 8:56 P.M. How long
was the school play?

Answers

56 - 15 = 41min

hope it helps...!!!

Answer:

41 minutes

Step-by-step explanation:

The length of time from 8:15 PM to 8:56 PM is 41 minutes (56-15 = 41)

Simplify. Write the answer with positive exponents only.
x2 x4

Answers

Answer:

[tex]\frac{1}{x^2}[/tex]

Step-by-step explanation:

Hey there!

x^2 / x^4

≈ x * x / x * x * x * x

SIMPLIFY IT!

≈ 1 / x^2


Therefore, your answer should be:

1/x^2



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Reflect the given triangle over
the line y=x.

[3 6 3
-3 3 3]


Answers

If reflected over y = x

then use

[tex]\left[\begin{array}{ccc}0&1\\1&0\end{array}\right][/tex]

=====================

[tex]\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}3&6&3\\-3&3&3\end{array}\right][/tex]

similar as (x, y) → (y, x)

multiply the matrixes to get the final answer

[tex]\left[\begin{array}{ccc}(3*0+1*-3)&(6*0+1*3)&(3*0+1*3)\\(3*1+(-3*0)&(1*6+0*3)&(1*3+0*3)\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-3&3&3\\3&6&3\end{array}\right][/tex]

Answer:

[3,-3,-3] [-3,-6,3]

Step-by-step explanation:

jus got it right

please help me find the formula of this table graph thingy

I NEED THE FORMULA, Y=??????

the topic Is graph and direct propotion​ btw​

Answers

Answer:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

Step-by-step explanation:

Formula :  y=k/x

Solve:

Before we find the answer chart =

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20     |      ?        |    ?     |      ?      |

20 = ? / 200

? = 10

Thus,

100/10 = 10

500/10 = 50

1000/10 = 100

So the chart now is:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

~lenvy~

which expression is equivalent to (-5x^2-7x-10)-(2x^2-2x+7)

Answers

Answer:

746

Step-by-step explanation:

i got the same question

Answer:

7x+10

Step-by-step explanation:

First, distribute the 2

2(x+5) +5x

2*x+2*5 +5x

2x+10+5x

Combine like terms

2x+5x+10

7x+10

PLEASE SOLVE ASAP!! 100 POINTS

Answers

Answer:

∠DBC = 155°

Step-by-step explanation:

Assuming that ABC is a straight line.

Angles on a straight line sum to 180°.

⇒ (2x² + 3x - 2) + ∠DBC = 180°

⇒ ∠DBC = 180° - (2x² + 3x - 2)

The sum of the interior angles of a triangle is 180°:

⇒ (x² + 1) + (4x + 3) + ∠DBC = 180°

⇒ ∠DBC = 180° - (x² + 1) - (4x + 3)

Therefore, we can equate the equations and solve for x:

⇒ ∠DBC = ∠DBC

⇒ 180 - (2x² + 3x - 2) = 180 - (x² + 1) - (4x + 3)

⇒ 180 - 180 = (2x² + 3x - 2) - (x² + 1) - (4x + 3)

⇒ (2x² + 3x - 2) - (x² + 1) - (4x + 3) = 0

⇒ 2x² + 3x - 2 - x² - 1 - 4x - 3 = 0

⇒ x² - x - 6 = 0

⇒ x² + 2x - 3x - 6 = 0

⇒ x(x + 2) - 3(x + 2) = 0

⇒ (x + 2)(x - 3) = 0

Therefore,  x = -2, x = 3

As angles are positive, x = 3 only

Substituting found value of x into the angle expressions:

⇒ ∠BDC = x² + 1 = (3)² + 1 = 10°

⇒ ∠DCB = 4x + 3 = 4(3) + 3 = 15°

The sum of the interior angles of a triangle is 180°:

⇒ ∠DBC  + ∠BDC + ∠DCB = 180°

⇒ ∠DBC = 180° - ∠BDC - ∠DCB

⇒ ∠DBC = 180° - 10° - 15°

⇒ ∠DBC = 155°

Sum of two interiors=exterior

x²+1+4x+3=2x²+3x-2x²+4x+4=2x²+3x-22x+6=x²x²-x+6=0(x-3)(x+2)=0

Take it positive

x=3

Now

2x²+3x-22(3)²+3(3)-22(9)+9-218+725

Now

<DBC=180-25=155°

Shawn will build a rectangular shaped table that will have a length of 6 feet and an area of up to 78 square feet. Which inequality represents all of the possible lengths in feet of the widths, w, that Shawn can use to build the table?

A: w ≥ 84

B: w ≥ 468

C: w ≤ 13

D: w ≤ 72

Answers

It’s A because when you add the anti force to the molecular cause of the yah

The effect of pH on the action of a certain enzyme is shown on the accompanying graph what is the domain of this function
PLEASE HELP ASAP I DO GIVE OUT 200 WORTH OF POINTS ONLY IF YOUR RIGHT I DO CHECK IT PLEASE AND THANK YOU !!

Answers

Answer:

4 less (less than or Equal to) X (less than or Equal to) 13

Step-by-step explanation:

Note:-

Domain is set of x valuesRange is set of y values

Here

we can see

x goes from (4,0) to (13,0)

Hence domain

4≤x≤13
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