Solve for x. Round to the nearest tenth, if necessary.

Solve For X. Round To The Nearest Tenth, If Necessary.

Answers

Answer 1

Answer:

x = 63.9

Step-by-step explanation:

We have:

[tex]\frac{QR}{sin35}[/tex] = [tex]\frac{78}{sin90}[/tex]

=> QR × sin90 = 78 × sin35

=> QR × sin90 = 44.7

=> QR = 44.7

But, we also have: [tex]x^{2}[/tex] + [tex]QR^{2}[/tex] = [tex]78^{2}[/tex] <=> [tex]x^{2}[/tex] + [tex]44.7^{2}[/tex] = [tex]78^{2}[/tex] <=> [tex]x^{2}[/tex] = 6084 - 1998.09

=> [tex]x^{2}[/tex] = 4085.91

=> x = [tex]\sqrt{4085.91}[/tex] = 63.9211.. = 63.9

<3 Have a nice day!!


Related Questions

What is the volume of the rectangular prism below? ⊕

Answers

Answer:

32cm³ is the volume of the given rectangle.

Step-by-step explanation:

volume of rectangle=l×w×h

2×4×432cm³

hope it helps

stay safe healthy and happy..

Answer:

bro i go to your school

lol

Step-by-step explanation:

In a class of 22 students, 7 are female and 17 have an A in the class. There are 3 students who are male and do not have an A in the class. What is the probability that a student who has an Ais a male?​

Answers

Answer:

Step-by-step explanation:

total number of students=22

number of female students=7

number of male students=22-7=15

number of male students not having A=3

Number of male students having A=15-3=12

P(male student having A)=12/22=6/11

The probability that a student who has an A is male is approximately 0.632

What is probability?

We can use the formula for conditional probability:

P(Male | A) = P(Male and A) / P(A)

We are given that there are 3 male students who do not have an A, so there are 22 - 3 = 19 students who have an A. Of these 19, we do not know how many are male. However, we do know that there are 7 female students, so the number of male students who have an A is:

19 - 7 = 12

Therefore, the probability that a student who has an A is male is:

P(Male | A) = 12 / 19

We can simplify this fraction by dividing the numerator and denominator by their greatest common factor (which is 1 in this case):

P(Male | A) = 12 / 19

So the probability that a student who has an A is male is approximately 0.632.

To know more about probability follow

https://brainly.com/question/16202956

#SPJ2

O(Q0) A(2,0), B(3, 2) and C(1, 2) are the vertices of quadrilateral OABC. Translate quadrilateral by translation vector [0,2]​

Answers

Answer:

A'(2,2) B'(3,4) C'(1,4) O'(Q,2)

Which equation in slope-intercept form represents a line that passes through the point (5, -1) and is
parallel to the lin y = 2x - 7?

A) y=-11x-7

B) y= -1/2x-7

C) y= 2x-9

D) y= -9x-7

E) y= 2x-11

Answers

Answer:

E) y= 2x-11

Step-by-step explanation:

as we know the equation of line parallel to

y =2x-7 or, 2x-y-7=0 is 2x-y+k=0

as the line passes through the point (5,-1)

substituting the value of x and y in equation 2x-y+k=0

we get,

2×5-(-1)+k=0

or, 10+1+k=0

or, k=-11

hence putting the value of k in ep 2x-y+k=0

we get 2x-y-11=0

or, y=2x-11

Find the sum
(-4) + 2/3 ​

Answers

Answer:

[tex]-3\frac{1}{3}[/tex]

Step-by-step explanation:

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

Given:

[tex](-4)+\frac{2}{3}[/tex]

--------------->>>>

Make the denominators the same.

[tex](-4*\frac{3}{3} )+\frac{2}{3}=[/tex]

--------------->>>>

Multiply inside the parenthesis.

[tex]-\frac{12}{3} +\frac{2}{3}=[/tex]

--------------->>>>

Join the denominators.

[tex]\frac{-12+2}{ 3}=[/tex]

--------------->>>>

Add the numerators.

[tex]-\frac{10}{3}[/tex]

--------------->>>>

Convert to mixed fraction.

[tex]-3\frac{1}{3}[/tex]

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

Hope this is helpful.

Answer:

-10/3.

Step-by-step explanation:

(-4). 2

----- + ------

1 3

we have to make the denominator same:

so.,

-4. ×. 3. -12

---- ---- = ------

1. ×. 3. 3

-12 2. -12+2

---. + ---- =. -----------

3. 3. 3

-10

=. ----

3

. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. population mean math score parents college grads. population mean math score parents high school grads. _____ _____ b. What is the point estimate of the difference between the means for the two populations

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point a:

Following are the null and alternative hypotheses:

[tex]H_0 : \mu_1 \leq \mu_2\\\\H_1 : \mu_1 > \mu_2[/tex]

For point b:

By using the Excel we obtained the output of the 2 sample t-test that is defined in the attached file.  

These point estimately are the difference among the mean for the two populations:

[tex]\to \mu_{\bar{x_1}-\bar{x_2}} = \mu_{\bar{x_1}}-\mu{\bar{x_2}} ={\bar{x_1}-\bar{x_2}}=573-491=82[/tex]

A trader bought some oranges at 5c each She finds that 6 of them are rotten. She sells the rest at 8c each and makes a profit of $4,50. How many oranges did she buy? (Hint: let the number of oranges be x. Work in cents.)

can someone please help me​

Answers

She paid 5X cents in total. She sold 8(X -6). The profit was 450 cents.
So: 5X = 8(X-6) -450.
5X + 450 = 8X -48
3X = 402
X = 402/3 = 134. She bought 134 oranges.

There are 90 penguins in a zoo. There are two types- Humboldt and Emperor. 52 are female, of these 6 are Emperor penguins. There are 5 male Emperor penguins. Use this information to complete the frequency tree.

Answers

Answer:

Total number of penguins = 90Female penguins = 52Male penguins = 90 - 52 = 38Female Emperor penguins = 6Female Humboldt penguins = 52 - 6 = 46Male Emperor penguins = 5Male Humboldt penguins = 33

Need help on this! 10 points!!!

Answers

Answer:

C) or 1.25

Step-by-step explanation:

all you have to do is divide (thats how you undo multiplication)  150 and 120 (150/120) leading you to get 1.25.

HOPE THAT HELPED :D

Which fraction is the largest? 7/9 3/4 1/2 2/3

Answers

Rewrite the fractions as decimals by dividing:

7/8 = 0.7777

3/4 = 0.75

1/2 = 0.5

2/3 = 0.666

0.777 is the largest number so 7/9 is the largest fraction.

Answer: 7/9

Answer:

2/3

Step-by-step explanation:

L.C.M:36

7/9:28/36

3/4:27/36

1/2:1836

2/3:36/36

Is the discriminant of g positive, zero, or negative?

Answers

Your answer is Zero

2/3 ÷ 8/9 step by step explanation... ​

Answers

Answer: 3/4 is the answer.

Step-by-step explanation:

(2/3)/(8/9)

(doing reciprocal)

2/3 * 9/8

= 18/24

= 6/8

= 3/4

Answer:

3/4

Step-by-step explanation:

2/3 ÷ 8/9 = 2/3 ×9/8 = (2×9)/(3×8) =3/4

Charlie dve 208 miles in 4 hours at a constant speed he continues at that speed give the equation that shows the relationship between driving hours

Answers

Answer:

52 miles per hour

Step-by-step explanation:

I think you're missing some info, so this is all I can help with right now

How do u solve this ?

Answers

You want to distribute the x

determina la pendiente (0,4) (-5,0)

Answers

Answer:

Use the slope formula to find the slope  

m

.

m

=

4/5  

Step-by-step explanation:

Harvey has a 5- gallon container of gasoline to fill all of his small engne tanks. He uses 1/2 gallon of the gasoline to fill each small engine tank he owns. How many small engine tanks does Harvey own? (give a reason) who ever helps me thank you

Answers

Answer:

10

Step-by-step explanation:

the small engine tanks that Harvey have = 5 ÷ ½ = 10

the quadratic function f(x) = ax² + bx + c has tge minimum point (-2,-9) ans f(-1) = -7 Find (a) values of a,b and c
i'll mark u brainliest pls,help​

Answers

Hello again,

"katie deleted your answer to the question Hello,a=2, b=8, c=-1Indeed,y=f(x)=ax...

You've been warned"

Answer is a=2, b=8 and c=-1

Indeed:

y=f(x)=ax²+bx+c

Since (-2,-9) is the vertex,

y=k*(x+2)²-9

Or f(-1)=-7 ==> -7=k*(-1+2)²-9 ==> k=2

f(x)=2(x+2)²-9=2*(x²+4x+4)-9=2x²+8x+8-9

f(x)=2x²+8x-1

A proof: the picture is following.

Someone help, I suck at math

Answers

option A.55°

Answer:

Solution given:

<x+<y=<z

exterior angle of a triangle is equal to the sum of two opposite interior angle

4n-18+n+8=133-6n

5n+6n=133+10

11n=143

n=143/11

n=13

exterior angle =133-6*13=55°

option A.55°

Help me please and thank you.

Answers

Answer:

[tex]0.67x-2=0.43[/tex]

Step-by-step explanation:

2/3 = 0.6 repeating

3/7 = 0.42857

ABCD is a quadrilateral.
29
Work out angle x.
13 cm
8 cm
А
6 cm
D

Answers

Answer:

Answer:

27.6 degrees

Step-by-step explanation:

Hi i’m looking for some help
Find the volume of this sphere.
Use 3 for 7.
V
V~ [?]in3
V = $703
11 in

Answers

Answer:

Step-by-step explanation:

Volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] And using r = 11 and pi = 3 (which is so far off, it's ridiculous):

[tex]V=\frac{4}{3}(3)(11)^3[/tex] which gives us that

V = 5324 in³

find the equation of the straight line passing through the point (0,2) which is perpendicular to line y=1/4x+5

Answers

Answer:

y = -4x + 2

Step-by-step explanation:

Given the following data;

Points (x1, y1) = (0, 2)

Perpendicular line = y = ¼x + 5

To find the equation of the straight line passing;

Mathematically, the equation of a straight line is given by the formula: y = mx + c

Where;

m is the slope.x and y are the pointsc is the intercept.

From the question, we can deduce that the slope (m) of the perpendicular line is ¼.

y = ¼x + 5 = mx + c

Since the points are perpendicular to the equation of line, it must have a slope that is its negative reciprocal because the slopes of perpendicular lines are negative reciprocals of each other.

Therefore, ¼ = -4

Next, we would write the equation of the straight line using the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 2 = -4(x - 0)

y - 2 = -4x - 0

y - 2 = -4x

y = -4x + 2

Two adjacent angles of a paralle
logram are congruent. What is the measure of
each?

Answers

Answer:

[tex]90^{\circ}[/tex]. In other words, these two angles are both right angles, and this parallelogram would be a rectangle.

Step-by-step explanation:

Two angles that congruent have the same size.

At the same time, those two adjacent angles of this parallelogram would be a pair of consecutive interior angles. Because the two sides of a parallelogram are parallel to one another, the sum of these two consecutive interior angles would be [tex]180^{\circ}[/tex]- they are supplementary to one another.

Let the two angles be [tex]\angle1[/tex] and [tex]\angle 2[/tex].

[tex]\angle 1 = \angle 2[/tex] because the two angles are congruent.

[tex]\angle 1 + \angle 2 = 180^{\circ}[/tex] because these two angles are adjacent angles of a parallelogram.

Hence, [tex]\displaystyle \angle 1 = \angle 2 = \frac{1}{2} \times 180{^\circ} = 90^{\circ}[/tex].

Find the measure of the missing angle using the exterior angle sum theorm

Answers

Answer:

160=130+x

x=160-130

x=30

Solve the following with steps
5/10 * -4/12 - 1/3 - 4/12 * 2/10

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5}{10}*\frac{-4}{12}-\frac{1}{3}-\frac{4}{12}*\frac{2}{10}\\\\=\frac{1}{2}*\frac{-1}{3}-\frac{1}{3}-\frac{1}{3}*\frac{1}{5}\\\\= \frac{-1}{3}[\frac{1}{2}+1+\frac{1}{5}]\\\\=\frac{-1}{3}[\frac{1*5}{2*5}]+\frac{1*10}{1*10}+\frac{1*2}{5*2}]\\\\=\frac{-1}{3}[\frac{5}{10}+\frac{10}{10}+\frac{2}{10}]\\\\=\frac{-1}{3}[\frac{5+10+2}{10}]\\\\=\frac{-1}{3}*\frac{17}{10}\\\\=\frac{-17}{30}[/tex]

sharon is planning a holiday for 4 people for 7 days

Answers

just multiply the numbers together, and it gives you 28, which is what she did thought everything

if 2^a =0.5 and 5^b=125, what is the value of a^b +b^a?​

Answers

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

  2^a = 0.5 = 2^-1   ⇒   a = -1

  5^b = 125 = 5^3   ⇒   b = 3

Then the expression a^b  +b^a is ...

  a^b +b^a = (-1)^3 +3^(-1) = -1 +1/3 = -2/3

A store charges 7% sales tax. Which expression can be used to find the total cost of an item with a price of p?
0.07p
0.93
1.07
7.000
HELP PLS SMb!

Answers

Answer:

0.07.

Step-by-step explanation:

Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00

brianliest!! 10 point!! hurry pls!!

Answers

Answer:

your answer is totally correct

the answer is parallelogram

HELP PLEASE! THIS IS MY LAST QUESTION ILL GIVE BRAINLIEST, NO LINKS. <3

Which of the following sets shows all the numbers from the set {1, 2, 3, 4} that are part of the solution to the inequality 7x + 6 > 20?

A) {1, 2, 3}
B) {2, 3, 4,}
C) {3, 4}
D) {4}

Answers

Answer: C {3, 4}

Step-by-step explanation:

Solve the inequality:

7x + 6 > 20

7x > 20 - 6

7x > 14

x > 2

Only 3 and 4 are greater than 2.

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