Find the value of x to the nearest tenth.

Find The Value Of X To The Nearest Tenth.

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

Remark

Find the hypotenuse of the triangle. That is also the length of the rectangle.

Then use Pythagoras to find x.

Givens and solution

two sides of the triangle both = to 6

Find the base of the triangle which is also the length of the rectangle. Call the base = y

6^2 + 6^2 = y^2

36 + 36 = y^2

y^2 = 72

sqrt(y^2) = sqrt(72)

y = 8.4853

Transfer x to the opposite side of the rectangle.

x^2 = diagonal^2 - y^2

x^2 = 9^2 - y^2

x^2 = 81 - 72

x^2 = 9

sqrt(x^2)= sqrt(9)

x = 3


Related Questions

Which of the following is the product of 7/8 and -4/21?  a.- 1/6 b.1/12 c.- 16/21 d.- 147/32​

Answers

Answer:

A. -1/6

Step-by-step explanation:

7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6

The product of 7/8 and -4/21 is a.- 1/6.

What is the product?

In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.

Now the given numbers are,

7/8 and -4/21

now taking 7/8 and since 8= 4*2

so, 7/8 = 7/(4*2)

Again taking -4/28 and since 28 = 7*4

so, -4/21 = -4/(7*3)

hence the product of 7/8 and -4/21 is given as,

7/8*(-4/21) = 7/(4*2) x -4/(7*3)

taking alike terms together we get,

7/8*(-4/28) = (7/7)(4/4)(-1/2*3)

⇒ 7/8*(-4/28) = -1/6

Hence the correct option is a.-1/6

Therefore,The product of 7/8 and -4/21 is a.- 1/6.

Learn more about product :

https://brainly.com/question/1549083

#SPJ6

A total of 765 tickets were sold for the school play. They were either adults or students tickets. There were 65 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer: 350 adult tickets

Step-by-step explanation:

(omg I remember this question!)

a stands for the number of adult tickets sold

student tickets : a + 65

the equation for the prob:

765 = a + (a + 65)

solve:

combine 'like terms'

1.) 765 = a + a + 65

2.) 765 = 2a + 65

- 65         - 65

700= 2a

divide by 2

700/2 = 2a/2

(700/2 = 350)

(the "2" in 2a is cancelled out by the other 2)

350 = a

Find the value of x such that l ⊥ m.

Answers

Answer:

The answer is 16

Step-by-step explanation:

Hi there!

The angles shown are supplementary

Supplementary angles have a measure of 90 degrees

This means that 3x + 5 + 37 = 90

3x + 5 + 37 = 90

Combine like terms

3x + 42 = 90

Take away 42 from each side

3x = 48

Divide by 3

x = 16

Hope this helps! :)

Answer:

O B) 16

Step-by-step explanation:

90° (total) - 37° = 53°

(3x+5) = 53°

(3x-5)  = -5°         Subtract 5 from both sides!

3x = 48               Solve

x = 16

How many 34 cup servings of granola can be measured from a box containing six cups of granola?

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

The number of servings can be found by dividing the quantity available by the amount per serving.

  (6 cups)/(3/4 cup/serving) = (6)(4/3) servings = 8 servings

a line passes through the points (2,6) and (4,9) move an expression and a number

Answers

Answer:

General equation of line is y=mx+c where m is the slope

Slope of line parallel to x-axis is m=0

So y=(0)x+c⟹y=c

(−4,6) lies on our required line y=c

⟹6=0(−4)+c

⟹c=6

Equation of the line is y=6

Step-by-step explanation:

The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
H0: Level of math is independent of/dependent on grade level.
H1: Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.

Answers

Solution :

The expected matrix is :

[tex]$E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$[/tex]            Honors        Regular       General

     6 th grade                                       33.0986      46.0070      14.8944

     7 th grade                                       34.8592      48.4542       15.6866

     8 th grade                                       32.0423      44.5387       14.4190

Thus we can say that the level of math is not dependent on the grade level.

Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419

[tex]H_0[/tex] : The level of math is independent of the grade level.

[tex]H_1[/tex] : The level of math is dependent on the grade level.

The nth term of a sequence is given by the rule 3n -1. What is the 10th term of the sequence?

Answers

Answer:

well, just put in 10 instead of n, after all we want the 10th, not the n'th

3*10 -1 = 29

simple as that.

hope it helps you. if you got further questions just put them in a comment:)

Can someone answer these questions for me? (Questions are in the picture)

Answers

1. (2/3)

2. (7/12)

3. (4/21)

To divide fractions all you have to do is take a dividend, the first number, and multiply it by the inverse of the divisor, which is the second number.
1 is A
2 is c
3 is B

Finding the volume of the solid.Use unit cubes to help.

Answers

Answer:

the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.

Hope this help

Have a nice day :)

Solve 8x + c = k for x.

Answers

Answer:

x = (k - c)/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

8x + c = k

Step 2: Solve for x

[Subtraction Property of Equality] Subtract c on both sides:                         8x = k - c[Division Property of Equality] Divide 8 on both sides:                                 x = (k - c)/8

Answer:

[tex]x = \frac{k -c}{8}[/tex]

Step-by-step explanation:

[tex]8x + c = k\\\\8x + c-c = k -c \ \ \ \ \ \ \ \ \ [\ subtract \ c \ from \ both \ sides \ ]\\\\8x = k - c\\\\\frac{8x}{8} = \frac{k-c}{8} \ \ \ \ \ [ \ divide \ both \ sides\ by\ 8 \ ]\\\\x = \frac{k-c}{8}[/tex]

a perpendicular bisect or, cd, is drawn through point c in ab.

if the coordinates of point a are (-3,2) and the coordinates of point b are (7,6), the x-intercept of cd is __. Point __ lies in CD

Answers

x-intercept = (18/5, 0)
If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of Line CD is
( 3,0), (18/5,0), (9,0), or (42/2, 0),

Point (-52, 141), (-20, 57), (30, -71), or (54, -128) lies on Line CD.


m AB = 2 / 5
C = (2, 4)
m CD = -5 / 2

Equation of line passing though C and D

y = (-5/2)x + b
4 = (-5/2)(2) + b
4 = -5 + b
9 = b
y = (-5/2)x + 9


For the x-intercept y = 0
∴ y = (-5/2)x + 9
0 = (-5/2)x + 9
5/2 x = 9
x = 2/5 × 9
= 18/5
x-intercept = (18/5, 0)

PLEASE HELP !!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST

Answers

x=22/y=6
Step by step below

Answer:

x = 22

y = 6

Step-by-step explanation:

GIVEN :-

AB ⊥ CF∠ABE = (4y + 2)°∠FBE = (3x - 2)°∠FBD = (5x + 6)°

TO FIND :-

The value of x & y

GENERAL CONCEPT TO BE USED IN THIS QUESTION :-

Complementary angles :- Two angles are said to be complementary if sum of measure of both angles is equal to 90°. Linear Pair :- Two angles are said to be a linear pair if both the angles lie on a straight line & sum of both angles is equal to 180°.

SOLUTION :-

In the figure given in the question , ∠FBE & ∠FBD are linear pair.

⇒ (3x - 2)° + (5x + 6)° = 180°

⇒ 8x + 4 = 180

⇒ 8x = 176

x = 22°

Also , AB⊥CF.

⇒ ∠ABE & ∠FBE are complementary angles.

⇒ (4y + 2)° + (3x - 2)° = 90°

⇒ 4y + (3×22) = 90   [∵ Putting x = 23]

⇒ 4y + 66 = 90

⇒ 4y = 24

y = 6

Derek is skiing on a circular ski trail that has a radius of 0.6 km. Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a. How many radians does Brian sweep out?
b. When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
c. When Brian stops skiing, how many km is Brian above of the center of the ski trail?

Answers

Answer:

a) Brain sweep out 4 radians

b) Brian is -0.3922 km to the right of the center of the ski trail

c) Brian is -0.4541 km above of the center of the ski trail

Step-by-step explanation:

Given the data in the question;

circular ski trail radius = 0.6 km

Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.

a) How many radians does Brian sweep out?

arc length = 2.4 km

from the diagram;

arc length = rθ

θ = arc length / r

θ = 2.4 / 0.6

θ = 4 radians

Therefore, Brain sweep out 4 radians

b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?

from the diagram;

x = rcosθ

we substitute

x = 0.6 × cos(4)

x = 0.6 × -0.65364

x = -0.3922 km

Therefore Brian is -0.3922 km to the right of the center of the ski trail

c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?

from the diagram;

m = rsinθ

m = 0.6 × -0.7568

m = -0.4541 km

Therefore, Brian is -0.4541 km above of the center of the ski trail

Help I am very bad at math I need answers by tomorrow if you can help please do​

Answers

Answer:

Step-by-step explanation:

(a - b)(a +b) = a² - b²

1 - Sin² A = Cos² A

[tex]LHS = \frac{1}{1- Sin A} + \frac{1}{1 + Sin A}\\\\= \frac{1*(1 + Sin A)}{(1- Sin A)(1 + Sin A)} + \frac{1*(1- Sin A)}{(1 + Sin A)(1- Sin A)}\\\\= \frac{1 + Sin A+ 1 - Sin A}{1^{2}- Sin^{2} A}\\\\= \frac{2}{1 - Sin^{2} A}\\\\= \frac{2}{Cos^{2} A}\\\\= 2 Sec^{2} A[/tex]

2)  Sec² A - Tan² A = 1

[tex]LHS = \frac{1}{Sec A - Tan A}\\\\=\frac{1*(Sec A + Tan A)}{(Sec A - Tan A)(Sec A + Tan A)}\\\\=\frac{Sec A + Tan A}{Sec^{2} A - Tan^{2} A}\\\\=\frac{Sec A + Tan A }{1}\\\\= Sec A + Tan A = RHS\\\\\\[/tex]

3) LHS  = Cosec² A + Cot² A

             = Cosec² A +  Cosec² A - 1

            = 2Cosec² A - 1   = RHS

[tex]4) LHS = \frac{Sec A}{Cos A}- \frac{Tan A}{Cot A}\\\\ = Sec A*\frac{1}{Cos A}-Tan A*\frac{1}{Cot A}\\\\ = Sec A * Sec A - Tan A * Tan A\\\\= Sec^{2} A - Tan^{2} A \\\\= 1[/tex]

Will mark Brainlest!!
Help Please!
(1). find the domain and range of the following

Answers

Answer:

Step-by-step explanation:

You have the domain. It is given as -1≤x≤1

Now all you have to do is figure out the range which is the y value. At first glance I think it might be 3, but that does not look very logical. I'll post this much of it now and be back in under an hour with a more complete answer.

Of course! How silly of me. There is a minimum of y = 1 in the range which comes from x = 0

I've included a graph so you can see how this all works.

So the range = 1 ≤ y ≤ 3

Possible answers, 35, 30, 90,64 ​

Answers

Answer:

30

Step-by-step explanation:

this is a right-angled triangle.

as we can see on the graph and the coordinate units,

AB = 4

BC = 7

=>

AC² = AB² + BC² = 4² + 7² = 16+49 = 65

AC = sqrt(65)

now, in every triangle there are certain ratios equal to each other.

a/sin(A) = b/sin(B) = c/sin(C)

a is here BC

b is here AC

c is here AB

and we know B = 90 degrees

sin(90) = 1

so, we have

sqrt(65)/1 = 4/sin(C)

sqrt(65) = 4/sin(C)

sin(C) = 4/sqrt(65) = 0.496138938...

C = 29.7448813...

the closest answer option is 30.

the polynomial function f(x)=3x5-2x2+7x

Answers

Answer:

f(x)=7x+11

Step-by-step explanation:

15-4-7x= 7x+11. Sp y or f(x)= 7x+11

sorry I just replied for points :(((

In this diagram, a triangular prism is cut by a plane as shown. What is the shape of the cross section?

Answers

Answer: it’s a triangle

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

A survey of 423 people shows that 321 have never received a traffic violation. Find the sample proportion of those who have received a traffic violation. *
1 point
A. 13%
B. 24%
C. 32%
D. 76%

Answers

24% :)

(please mark me as brainliest) <3

You're at the aquarium, staring into a large exhibit, when you look to your left and slightly downward and you see a jellyfish. You notice that the jellyfish body looks like a very wide, upside-down parabola. What is a possible equation that models the jellyfish, assuming your eyes are at (0, 0)?
a) -2(x + 3)2 + 4
b) -3(x - 2)2 - 1
c) -25(x + 1)2 - 5 .
d) 3(x-4)2 + 2
e) Answer is not there

Answers

Step-by-step explanation:

c is an upside down parabola but it is not wide, it is very then so maybe e?

Divide x3 + 5x2 + 5x – 3 by x + 3

Answers

Answer:

[tex]x^{2} + 2x - 1[/tex]

Step-by-step explanation:

We are solving for :

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

Factor [tex]x^{3} + 5x^{2} + 5x - 3 : (x + 3)(x^{2} + 2x - 1)[/tex]

[tex]\frac{(x + 3)(x^{2} + 2x - 1)}{x + 3}[/tex]

= [tex]x^{2} + 2x - 1[/tex]

The answer is in the picture shown below:

SOLVE EQUATION BY TAKING SQUARE ROOTS.
-100+81a^2=0

Answers

Answer:

a = ±10/9

Step-by-step explanation:

[tex]-100+81a^2=0\\81a^2=100\\a^2=\frac{100}{81}\\\sqrt{a^2}=\sqrt{\frac{100}{81} }\\a=10/9\\a=-10/9[/tex]

GOOD MORNING AND CONGRATULATIONS ON YOU GRADUATING :D

Choose all that correctly give the distance in the coordinate plane between two points.
(-5, 8), (5,8)
d = 10
(3,8), (3, -6)
d = 12
(-2,-9), (-2,4)
d = 13
(8, -7), (1, -7)
d = 9
(-12, -4), (-6, -4)
d = 6

Answers

d=10, d=13 and d=6 are correct

When the x-coordinates (or y-coordinates) match find the difference between the other values.

Linear function please help it’s due in 30 mins

Answers

Y=2x+1 Hope that helps

Which equation can be used to solve for c?

Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.

c = (5)cos(35o)
c = StartFraction 5 Over cosine (35 degrees) EndFraction
c = (5)sin(35o)
c = StartFraction 5 Over sine (35 degrees) EndFraction
Mark this and return

Answers

Answer:

5 no i am not preety sure though

Answer:

the answer is B on edge

Step-by-step explanation:

to the other person , .. that's not a fricking answer

Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Business Bureau are often banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships. Consider the results for a sample of 200 complaints.

Required:
Construct frequency and relative frequency tables showing complaints by industry.

Answers

Answer:

[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]n =200[/tex]

[tex]Bank = 26; Cable = 44; Car = 42; Cell = 60; Collection = 28[/tex]

Required

The frequency relative frequency table

The frequency table is as follows:

[tex]\begin{array}{cc}{Industry} & {Frequency} & {Bank} & {26} & {Cable} & {44} & {Car} & {42} & {Cell} & {60} & {Collection} & {28} & {Total} & {200} \ \end{array}[/tex]

Relative frequency (RF) is calculated using:'

[tex]RF = \frac{Frequency}{Total} * 100\%[/tex]

So, we have:

[tex]Bank = \frac{26}{200} * 100\% = 13\%[/tex]

[tex]Cable = \frac{44}{200} * 100\% = 22\%[/tex]

[tex]Car = \frac{42}{200} * 100\% = 21\%[/tex]

[tex]Cell = \frac{60}{200} * 100\% = 30\%[/tex]

[tex]Collection = \frac{28}{200} * 100\% = 14\%[/tex]

So, we have:

[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]

Can you help me please

Answers

Answer:

mid point=(x1 + x2)/2 (y1 + y2)/2

(-5+5)/2 and (-7+4)/2

0 and 1.5

midpoint=(0,1.5)

- The area of a rectangle can be found by using A
24w + w2, where w represents the
width. What is the width of the rectangle when the area is 3456 in.2 ?

Answers

Answer:

26w

Step-by-step explanation:

Solve. Use the basic percent equation. 212.5 is 85% of what?

Answers

Answer:

250

Step-by-step explanation:

85% · n = 212.5

[convert 85% to .85]

.85n = 212.5

n = 212.5/.85

n = 250

I need help, Thank you

Answers

Answer:

It should be 33 degrees!

Step-by-step explanation:

This can be found out when we realize that all complimentary degrees add up to 90!

Answer:

33 degrees

Step-by-step explanation:

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