Find the missing side of the triangle and leave the answer in simplest radical form.

Find The Missing Side Of The Triangle And Leave The Answer In Simplest Radical Form.

Answers

Answer 1

Answer:

x = [tex]\sqrt5[/tex]

Step-by-step explanation:

Using Pythagoras theorem,

Square of longer side = Sum of square of other sides .

Therefore,

[tex](\sqrt{11})^2 = x^2 + (\sqrt{6})^2\\\\11 = x^2 + 6\\\\11 - 6 = x^2\\\\5 = x^2\\\\x = \sqrt 5[/tex]

Answer 2

Answer:

x = √5.

Step-by-step explanation:

By Pythagoras:

x^2 = (√11)^2 - (√6)^2

x^2 = 11 - 6 = 5

x = √5.


Related Questions

Hey guys I need help real quick it’s question number 6 pls :)

Select all the expressions that
are equivalent to 23. (22)

Answers

Answer: 2 to the 8th power

Step-by-step explanation:

2^8 is the answer
(2 to the eighth power)

simplify  ( √ 5 ) ( 3 √ 5 )

Answers

Answer:

[tex]5^\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{5}[/tex] can be represented as [tex]5^{\frac{1}{2}}[/tex] and [tex]\sqrt[3]5}[/tex] can be represented as [tex]5^{\frac{1}{3}}[/tex]. Therefore, the expression can be rewritten as:

[tex]5^{\frac{1}{2}}*5^{\frac{1}{3}}[/tex]

The rule for multiplying two exponents with the same base is you add the exponents. For example: [tex]x^m*x^k=x^{m+k}[/tex]

We can use the same property to get:

[tex]5^{\frac{1}{2} +\frac{1}{3}}[/tex]

which is just [tex]5^\frac{5}{6}[/tex] after you add the fractions

Given The following right triangle, what is the ratio of Cos(b)
A) 5/13
B) 5/12
C) 13/5
D) 12/13

Answers

Answer:

A. 5/13

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

Adjacent of B = 5

Hypotenuse = 13

Hence CosB = 5/13

hi, last thing !! awarding 30 points here !! answer asap thank you so much !!

Answers

Answer:[tex]\color{yellow}{}[/tex]

[tex]\color{iron}{{-1, 0, 4}}[/tex]

[tex]\color{iron}{{-3, 1, 2}}[/tex]

Domain is 5 and the range is 4 so the Function is 1.25

help----------------------------

Answers

Answer:

One solution;

[tex]x=-1\frac{2}{7}[/tex]

[tex]y=-5\frac{3}{7}[/tex]

Step-by-step explanation:

The method of elimination is a way of solving a system of equations. There are many steps involved in this process. First, one must manipulate one of the equations in the system by multiplying each term in it by a certain number such that one of the variables is the inverse of the other like the variable in the other equation. Then one must add the two equations. This will eliminate one of the variables in the equations. After doing so, one has to use inverse operations to solve for the other variable. Finally, one will back solve, substitute the value of the solved variable into one of the equations and solve for the remaining unknown variable.

[tex]\left \{ {{y=5x+1} \atop {y=-2x-8}} \right.[/tex]

Manipulate the system;

[tex]\left \{ {{y=5x+1*(-1)} \atop {y=-2x-8}} \right.[/tex]

Simplify,

[tex]\left \{ {{-y=-5x-1} \atop {y=-2x-8}} \right.[/tex]

Add the equations,

[tex]\left \{ {{-y=-5x-1} \atop {y=-2x-8}} \right.[/tex]

[tex]0=-7x-9[/tex]

Inverse operations,

[tex]0=-7x-9[/tex]

[tex]7x=-9[/tex]

[tex]x=-\frac{9}{7}[/tex]

[tex]x=-1\frac{2}{7}[/tex]

Backsolve,

[tex]y=-2x-8[/tex]

Substitute

[tex]y=-2(-\frac{9}{7})-8[/tex]

Simplify,

[tex]y=-2(-\frac{9}{7})-8[/tex]

[tex]y=\frac{18}{7}-8[/tex]

[tex]y=\frac{18}{7}-8\\y=-\frac{38}{7}[/tex]

[tex]y=-5\frac{3}{7}[/tex]

In a wildlife park, there were 18 gray wolves. After three years, there were 27 gray wolves. What is the percent gain?

Answers

27-18=9 (difference between)
9/18=0.5 (9 as a percentage of original as a decimal)
0.5x100=50 (as a percentage)

50% increase

Answer:

50%.

Step-by-step explanation:

Gain as a fraction is (27-18) /18

= 9/18

= 1/2.

Percent gain = 1/2 * 100 = 50%.

Solve for x:
4x + 1 = 7x - 5

Answers

Answer:

x = 2

Step-by-step explanation:

First, subtract 4x from both sides:

4x + 1 = 7x - 5

1 = 3x - 5

Add 5 to both sides:

6 = 3x

Divide each side by 2:

2 = x

So, the answer is x = 2

Answer:

2 =x

Step-by-step explanation:

4x + 1 = 7x - 5

Subtract 4x from each side

4x-4x + 1 = 7x-4x - 5

1 = 3x-5

Add 5 to each side

1+5 = 3x-5+5

6 = 3x

Divide each side by 3

6/3 = 3x/3

2 =x

In a class of 40 students, a teacher surveyed everyone to see how many had a pet dog (D), a pet cat (C), or a pet bird (B). 28 students have a cat. Of those 28, 10 of them also have a bird. 19 students have a dog. Of those 19, 6 of them also have a cat and 2 of them also have a bird. Out of the 40 students, 2 of them have all three pets.



​Draw a Venn Diagram to help you answer the questions.



​Find P(B). Write your answer as a percent to the nearest tenth. Do NOT include the percent sign!

Answers

Answer:

This cant be an accurate question, i drew the diagram and before i got to the people who only have birds i already had over 40 people total

Step-by-step explanation:

Find 3v - 4w if v = -3i and w=-i + 5j. Use < > for
vector notation.

Answers

Answer:

[tex]<-5, 20>[/tex]

Step-by-step explanation:

What we're given:

[tex]\vec{v}=-3i[/tex] [tex]\vec{w}=-i+5j[/tex]

The vector [tex]3v-4w[/tex] is then [tex]3(-3i)-4(-i+5j)=-9i+4i-20j=-5i+20j\implies \boxed{<-5, 20>}[/tex]

Please click the photo and there are two questions to solve .Please help me guys

Answers

Answer:

Step-by-step explanation:

Distance formula:

[tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]

Distance for AB

[tex]\sqrt{(4-2)^2+(1-(-5))^2}=\sqrt{4+36}=\sqrt{40}\\[/tex]

Distance for AC

[tex]\sqrt{(8-2)^2+(-3-(-5))^2}=\sqrt{36+4}=\sqrt{40}[/tex]

2.

same formula solve when positive

[tex]5=\sqrt{(6-3)^2+(y-2)^2}\\25=9+(y-2)^2\\16=(y-2)^2\\4=y-2\\6=y[/tex]

Now when it's negative

[tex]5=\sqrt{(6-3)^2+(y-2)^2}\\25=9+(y-2)^2\\16=(y-2)^2\\-4=y-2\\y=-2[/tex]

so y can equal 6 or -2

Factorx^2 + x - 6, asappp

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + x - 6[/tex]

➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]

Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have

➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]

Taking the factor [tex](x+3)[/tex] as common,

➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Will give brainliest but Please hurry got until tmrw
A train is traveling at a constant
speed, and its distance over time is
shownin the graph. What is the speed
of the train?

Answers

Answer:

It looks like 35 miles per hour

Step-by-step explanation:

if you look at the vertical line between 0 and 2 (which is the one hour mark) on the horizontal axis of the graph you can see the line of the graph crossed under the 40 mi. Therefore the train traveled about 35 miles in one hour (or 35 mph) because there are no other answers under 40.

points E, F and D are located on the circle C. The measure of arc ED is 108.
What is the measure of angle ECD ?

Answers

Answer:

Lines are drawn from points E and D to point F to form chords E F and D F. ... Arc E D is 68 degrees. The measure of arc ED is 68°.

Check whether (0, -2) is solution of the equation x - 2y = 4 or not

Answers

Answer:

Step-by-step explanation:

Plugin x = 0 & y = -2 in the LHS of the equation. After substituting, if you get the RHS, then this point is the solution of the equation.

x - 2y = 0 - 2*(-2)

         = 0 + 4

         = 4  = RHS.

(0,-2) is solution of the equation.

Craig threw a handful of identically shaped buttons into the air then collected 14 bottoms that landed on the carpet. Is this sample of the buttons likely to be biased yes or no

Answers

Answer:

possible?? but I think that there is a typo, and that there would not be a bias

Step-by-step explanation:

can we assume that there are no typos in the question

he threw BUTTONS in the air, and look at buttons that landed with the BOTTOMS facing up ??? in that case the weight might bias the orientation of the landing... I think that you have a typo and it just says that he collected 14 BUTTONS, in that case given that they are "IDENTICAL" we most likely can assume that there would be no bias (size color, texture are all the same)

Anthony is building a rectangular shaped swimming pool with a perimeter of 80 feet. Determine a function A(w) that models the area of the top surface of the swimming pool in terms of width W. A(w)= For w>0

Answers

Answer:

[tex]A(w) = 40w - w^2[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] --- perimeter

Required

Define the area in terms of width

The perimeter of the pool is:

[tex]P =2(l + w)[/tex]

Where:

[tex]l\to length[/tex]

[tex]w\to width[/tex]

So:

[tex]80 =2(l + w)[/tex]

Divide by 2

[tex]40 =l + w[/tex]

Make l the subject

[tex]l = 40-w[/tex]

The area is then calculated as;

[tex]A(w) = l * w[/tex]

Substitute: [tex]l = 40-w[/tex]

[tex]A(w) = (40 - w) * w[/tex]

[tex]A(w) = 40w - w^2[/tex]

Which graphs are inverses of one another?

Graph A and B

Graph A and C

Graph B and C

none of the graphs shown

Answers

Well... kinda need those graphs to be shown.

Answer:

A and C

Step-by-step explanation:

Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below

Answers

Answer:

Relationship: supplementary

B = 110

Step-by-step explanation:

The two angles shown form straight line

Angles that form a straight line add up to equal 180. Angles that add up to 180 are known as supplementary angles

If the angles add up to equal 180 then b + 70 = 180

Subtract 70 from both sides

b = 110

m2 = 10x + 2 and m2) = 9x + 8.
Find x.
U
Solve for x.

Answers

Answer:

x=m2/10 − 1/5

x=m2/9 − 8/9

Step-by-step explanation:

I need help with this one

Answers

Answer:

Step-by-step explanation:

Convert fractions to decimals. Then compare the whole part of the decimal numbers. The decimal having the  highest whole part is the greatest number.

If whole part of the decimals are same, compare the tenth place ....

[tex]68 \frac{1}{2}= \frac{137}{2}=68.5[/tex]

[tex]\frac{336}{5}=67.2[/tex]

67.59

67.22

Greatest to least:  68.5  , 67.59  , 67.22 , 67.2

                            68 1/2  , 67.59 , 67.22 ,  336/5

can somebody help me with this question !​

Answers

Answer:

No please! Mr excuse me I am not your type bye

Mrs.Tate is 5 feet 3 inches tall. Her daughter is 4 feet 8 inches tall. How much taller is Mrs.Tate than her daughter?

A) 5 inches
B) 7 inches
C) 1 foot 5 inches
D) 1 foot 7 inches

Answers

Answer: 7 inches (choice B)

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

Explanation:

1 foot = 12 inches

5 feet = 60 inches (multiply both sides by 5)

5 ft, 3 in = 63 inches (add 3 inches to both sides)

Through similar steps, you should find that 4 ft 8 in converts to 56 inches

The difference is 63-56 = 7 inches

What is the inverse of the statement below?
x →y
A. -X
B. y = x
C. y = x
O D. -x=y

Help plz

Answers

Answer:

d -x=y the awnssr may not be correct but I tried so

i need help with this

Answers

Answer:

[tex]y = - \frac{1}{2} x + 4[/tex]

Step-by-step explanation:

Let us consider two points through which the line passes through

[tex](x_1 , y _ 1 ) = ( 0 , 4 ) \ and \ (x_ 2 , y _ 2 ) = ( 4, 2 )[/tex]

Step 1 : Find slope of the line

[tex]Slope, m_1 = \frac{rise}{run} \\\\That \ is \ m_1 \ = \frac{y_2 - y _ 1}{x_2 - x_1}[/tex]

                  [tex]= \frac{2 - 4}{4-0} \\\\=-\frac{2}{4}\\\\= - \frac{1}{2}[/tex]

Step 2 : Find equation of the line.

[tex](y - y _ 1) = m_ 1 (x - x_1)\\\\( y - 4) = - \frac{1}{2}(x - 0)\\\\y = -\frac{1}{2}x + 4[/tex]

9: A rectangular room is 14m long and 8m wide. Jessica is going to carpet the room with carpet that costs £17.50 per square metre. Work out the cost of carpeting the room. ​

Answers

Answer:

£1,960

Step-by-step explanation:

Find the area of the room using the formula, A = lw

Plug in the length and width, and solve:

A = lw

A = 14(8)

A = 112

So, the area of the room is 112 square meters. Find the cost of carpeting the room by multiplying this by the price, £17.50

112(17.5)

= 1960

So, the price will be £1,960

What is the equation of the line that is parallel to the line y = -1/3 x + 4 and passes through the point (6, 5)?
y = -1/3 x + 3
y = -1/3x + 7
y = 3x – 13
y = 3x + 5

Answers

Answer:

[tex]5)8 \sqrt[6]{?} [/tex]

allá paosgesusussj siisveveu días dbd dusv

3. Round off the following numbers to three decimal places:
a) 31,1104
b) 0,10989​

Answers

A) 31.110
B) 0.110

When rounding to three decimal places, you consider if the number to the right of the third decimal place is less than or greater than 5. If it's less than 5, then the digit in the third decimal place stays the same. If it is greater than or equal to 5, then you round the digit in the third decimal place up by one.

Answer:

311.104

010.989

Step-by-step explanation:

What is the x-value of point A?
1
6
4
ТА
2
-6
-4
-2
-8
х
-2
-4
-6
please help and hurry!!

Answers

The correct answer is 4

I need helpppppp cause I’ll make ur bra list of however u spell it

Answers

Answer:

DBH

Step-by-step explanation:

#1

Initial Price = 100% = 18

Discount = 15% = x

0.15 ( 18 ) = 0.15 * 18 = 2.7

Discount = $2.7 or $2.70

Letter = D

#2

Initial Price = 100% = 450

Markup = 20% = x

0.20 ( 450 ) = 1/5 of 450 = 90

Markup = $90

Letter = B

#3

Initial Payment = 100% = 37.60

Tip = 15% = x

0.15 ( 37.60 ) = 0.15 * 37.60 = 5.64

Tip = $5.64

Letter = H

Your Code = DBH

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Write cos 29° in terms of sine.
Help pls :(

Answers

Answer:

0.48480962

Step-by-step explanation:

1. Take the sine of  29 ° .

sin ( 29 ° )

2. Evaluate  sin ( 29 ° ) .

0.48480962

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