In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=65°, and ZX = 4.8 feet. Find the length of YZ to the nearest tenth of a foot.

Answers

Answer 1

Answer:

10.3

Step-by-step explanation:

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\tan X = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{4.8}

tanX=  

adjacent

opposite

​  

=  

4.8

x

​  

 

\tan 65=\frac{x}{4.8}

tan65=  

4.8

x

​  

 

4.8\tan 65=x

4.8tan65=x

Cross multiply.

x=10.2936\approx \mathbf{10.3}\text{ feet}

x=10.2936≈10.3 feet

Type into calculator and round to the nearest tenth of a foot.

X

Y

Z

4.8

10.3

(adjacent to ∠X)

(opp. of ∠X)

(hypotenuse)

65°


Related Questions

The price of a skirt is $25 more than the price of a t-shirt. The total price of 3 skirts and 8 t-shirts is $339. Find the price of the skirt.

Answers

Well the price of the 3 skirts is $75 and the mystery price of the shirt was $33 and added that 8 time equals $339

please help with math

Answers

Answer:

648 cm³

Step-by-step explanation:

side area=(13+11)/2 ×9=12×9=108 cm²

volume=108×6=648 cm³

En 16 días se consume 1/8 de la carga de una batería. ¿Cuantos se consumirá en 48 días?

Answers

Answer: 3/8

Step-by-step explanation:

1/8 of the charge of a battery is consumed in 16 days. How will be consumed in 48 days?

So, to answer this question we simple have to apply a proportion:

(1/8 )/16 = charge consumed /days

For 48 days= x /48 days

(1/8 )/16 = x/48

Solving for x (charge)

[(1/8 )/16] 48 = x

3/8 =x

Feel free to ask for more if needed or if you did not understand something.

The cost of 24 bottles of water is $6. How much does it cost for 10 bottles of water?

Answers

Find the unit rate: 24 water bottles ÷ 6 dollars total = $0.25 a water bottle

Next, take the rate per water bottle and multiply it by ten: $0.25 a water bottle x 10 bottles of water = $2.50 total

So, this gives you your final answer. Ten bottles of water cost you $2.50!

Pleaseeeeee help i will mark brainlest

Answers

Answer:

e°=100°

Step-by-step explanation:

Sum of angles in a triangle= 180°

70°+30°+x°=180°

100°+x=180

Collect like terms

x°=180-100

x°=80°

e° is an exterior angle

exterior angle =180- interior angle

180°- x°

180°- 80°

=100°

e°=100°

Answer:

(d)100

explanation:

Because the outer angle equals to the measure of the inner angles

hope it helps :)

anyone watching or watched Avatar The Last Airbender? or The Legend of Korra? If you haven't I highly suggest you watch it on Netflix

Answers

Answer:

no ive never seen is it a cartoon

Step-by-step explanation:

Answer:

Yes I have seen it i reccomend it to

A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.
The square has sides of length x cm.
The area of the circle is 56cm squared.
Work out value of x.
Give answer correct to 3 significant figures.

Answers

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of [tex]x[/tex] cm, then it's diagonal have the length of [tex]x\sqrt2[/tex] cm. Using the circle's area we can find the diagonal of the square, as shown below:

[tex]area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222[/tex]

Since the diameter of the circle is the same as the diagonal of the square, then:

[tex]x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971[/tex]

The side of the square is 5.971 cm

Answer:

5.97

Step-by-step explanation:

How do measurements help us describe real-world objects?

Answers

Answer:

They help us describe real-world objects by coming in to play in several everyday life situations.

For example, its' easier to tell someone "I want 3 pounds of candy" instead of saying "I want armfuls of candy"

Hope this helps :)

what is the answer for this in square root form

Answers

Answer:

x =  ± sqrt(-49)

or x =  ± 7i

Step-by-step explanation:

x^2 +49 = 0

Subtract 49 from each side

x^2 +49 -49 = 0-49

x^2 = -49

Take the square root of each side

sqrt(x^2) = ± sqrt(-49)

x =  ± sqrt(-49)

We have to complex numbers to solve

x = ± sqrt(-1) sqrt(49)

sqrt(-1) = i

x =  ±i *7

x =  ± 7i

A cylinder has a volume of 792cm3 and a radius of 6m find its height

Answers

Answer:

Step-by-step explanation:

7

Answer:

≈ 7

Step-by-step explanation:

the formula of the volume of a cylinder is:

V = π r^2 * h

792 = 3.14 * 6^2 *h

so first divide by 6^2 (or 36) on both sides so you can start to isolate h

36/36 = 1   and  792/36 = 22

22 = 3.14 *h

now divide by 3.14 to get h by itself

3.14/3.14 = 1   and   22/3.14  ≈ 7

the answer is approximately 7 and precisely 7.002817496

hope this helps!! <3

Which line on the graph below has a slope of zero? On a coordinate plane, line Q is horizontal, line P has a positive slope, line R is vertical, and line S has a negative slope.

Answers

Answer:

line q because it just is

Step-by-step explanation:

The line that has zero slope is horizontal in the coordinate plane. the correct option is (a).

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given options can be analysed one by one as follows,

(a) A horizontal line on a coordinate plane is parallel to x axis.

The angle the line makes with x axis is zero which implies the slope is also zero.

(b)The line in the given case has some positive value of slope.

(c) A vertical line makes right angle with x axis.

Thus, the slope is tan(90°) = ∞,.

(d) The line in the given case has some negative value of slope.

Hence, the horizontal line will have zero slope.

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Lisa mows her neighbor’s lawns to earn money. She charges $8.75 per hour. She mows 8 lawns per month, and each lawn takes her 3.5 hours to complete.

How much does Lisa earn each month for her lawn mowing services?

$36.75
$38.63
$73.50
$245.00

PLS AWNSER ASAP

Answers

Answer:

$245

Step-by-step explanation:

8.75x3.5=30.625

30.625x8=245

Answer:

$245

is your answer

Step-by-step explanation:

Monica rode her bike 24 kilometers in 1.5 hours what was her speed

Answers

Answer:

16 km per hour

Step-by-step explanation:

24÷1.5 = 16

Two solutions of salt water contain 0.06% and 0.21% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.12% salt. How much of each solution should she use?

Answers

Answer:

The first solution must have 0.6 l and the second one 0.4 l.

Step-by-step explanation:

The volume of the first solution will be called "x", while the one from the second will be "y". The salt content on the first solution is "0.0006*x", while the salt content on the second solution is "0.0021*y", and the sum of these two values must be the same as the one in the final solution, so we have:

0.0006*x + 0.0021*y = 0.0012

And the sum of volumes must be equal to 1 liter.

x + y = 1

We have the equation system:

x + y = 1  (1)

0.0006*x + 0.0021*y = 0.0012   (2)

Isolating the "x" variable in the first equation and applying it in the second we have:

x = 1 - y

0.0006*(1-y) + 0.0021*y = 0.0012

0.0006 - 0.0006*y + 0.0021*y = 0.0012

0.0015*y = 0.0006

y = 0.0006/0.0015 = 0.4

x = 1 - 0.4 = 0.6

The first solution must have 0.6 l and the second one 0.4 l.

Solve the quadratic equation. x2+x−6=0

Answers

Answer:

The value of x is -3 and 2.

Step-by-step explanation:

First, you have to elaborate the equation :

[tex] {x}^{2} + x - 6 = 0[/tex]

[tex] {x}^{2} - 2x + 3x - 6 = 0[/tex]

Next, you can factorize it by taking out the like-terms :

[tex]x(x - 2) + 3(x - 2) = 0[/tex]

[tex](x + 3)(x - 2) = 0[/tex]

Lastly you have to solve it :

[tex]x + 3 = 0[/tex]

[tex]x = - 3[/tex]

[tex]x - 2 = 0[/tex]

[tex]x = 2[/tex]

Answer:

[tex]x = 2[/tex] or (look down)

Step-by-step explanation:

[tex]x^{2}[/tex]+[tex]x[/tex]−[tex]60[/tex] [tex]=[/tex] [tex]0[/tex]

Answer:

[tex]x = -3[/tex]

What is the range of the data below?
2
5
12
13

Answers

Answer:

The range Is 11

Step-by-step explanation: Range is the differance between the highest an lowest number, therefor you would use the highest number, 13 minus the lowest number witch is 2, so 13-2 is 11

Answer: 11

The range is the difference between the highest number and the lowest number

13 - 2 = 11 :)

The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family waThe blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family wants to use a scale of 1 inch equals = 6 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches. Width equals 12 inches width=12 inchesnts to use a scale of 1 inch equals = 6 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches. Width equals 12 inches width=12 inches

Answers

Corrected Question

The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches.

Answer:

7 Inch

Step-by-step explanation:

The width of the room on the old blueprint = 12 Inches

Scale on the old blueprint:

2 inches = 7 feet.

Therefore: 1 Inch =7/2 feet

12 Inches =12 X 7/2 feet =42 feet

The actual width of the room is 42 feet.

Scale on the new blueprint

1 inch equals = 6 feet; which we can reorder as:

6 feet=1 inch

1 feet =1/6 Inch

Therefore:

42 feet = 42 x 1/6 Inch =7 Inch

Thus, the width of the living room on the new​ blueprint is 7 Inch.

What is the factored form of this expression? x2 − 12x + 36

A. (x − 6)2
B. (x − 6)(x + 6)
C. (x + 6)2
D. (x − 12)(x − 3)

Answers

Answer:

The answer is A

Step-by-step explanation:

(x-6)2

=x2-12x+36

The required factor form of the polynomial equation x²-12x+36 is (x-6)².
Option A is correct.

The factored form of the polynomial x² − 12x + 36 equation is to determined.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here, The given polynomial function f(x) =  x²− 12x + 36
Factorization of a given polynomial function,
f(x) = x²− 12x + 36
spitting 12x in 6x+ 6x
f(x) = x²− 6x-6x + 36
taking commons
f(x) = x(x− 6)-6(x - 6)
f(x) = (x− 6)(x - 6)
f(x) = (x− 6)² is the factorized form of  f(x) =  x²− 12x + 36.

Thus, The required factor form of the polynomial equation x²-12x+36 is (x-6)².

Learn more about polynomial function here:
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which describes the slope of this line?

Answers

I believe the the answer is zero.

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Formula: C = ((pi x diameter) / 4) + r + r

C = ((pi x 6) / 4) + 3 + 3

C = (6pi / 4) + 6

C = 1.5pi + 6

C = 10.71 millimeters

Hope this helps! :)

Answer:

10.71mm

Step-by-step explanation:

First find the circumference of the circle

C=2πr

then divide by 4

then add the radius 2 times to get the quarter circle perimeter

In ΔWXY, the measure of ∠Y=90°, WX = 67 feet, and XY = 41 feet. Find the measure of ∠X to the nearest degree.

Answers

Answer:

52 degrees

Step-by-step explanation:

Find the median and mode of the data.
3, 4 1/4, 3 3/4, 5, 2 1/2, 8 2/3, 2 1/2
The median is
and the mode is

Answers

Answer:the mode is 2 1/2 because it repeats twice

Step-by-step explanation:repeats twice

answer my question will mark u as brainliest

Answers

Answer:

18.1cm

Step-by-step explanation:

11cm - 4cm = 7cm

16² - 7²

256 - 49 = 207

√207 = 14.387

x = 14.4

√14.39²+11²=√207+121= √328= 18.1cm

AC=18.1cm

I hope this helps ^_^

Which equation has no solution?

Answers

Answer:

B. 5 + 2(3+2x) = x + 3(x+1)

Step-by-step explanation:

5 + 2(3+2x) = x + 3(x+1)

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

4x - 4x = 3 - 11

0 = - 8, which is absurd.

Hence the equation 5 + 2(3+2x) = x + 3(x+1) has no solution.

if you flip a coin and roll a 6 sided die, what is the probability that you will flip a tails and roll 2

Answers

Answer:

1/12.

Step-by-step explanation:

6 sides and 2 sides. 2 possible outcomes for each side of the dice

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

The combinations:

heads and 1, heads and 2, heads and 3, heads and 4, heads and 5, heads and 6, tails and 1, tails and 2, tails and 3, tails and 4, tails and 5, tails and 6

There are 12 combinations (count if you don't believe me). An easy way to find this is by multiplying the number of things you can get from the coin (2)and the number of things you can get from the die (6).There is only one combination where you can get tails and roll 2, so the probability will be [tex]\frac{1}{12}[/tex]

What is the tan -π/4

Answers

Answer:

1

Step-by-step explanation:

The exact value of tan(π4) tan ( π 4 ) is 1 .

please help I really need it

Answers

Answer:

1. a   2. b   3. c  4. d

Step-by-step explanation:

you have to simplify but 2/2 to make the denominator 13 on number 3 and 4

I get an automatic 100 just for completing the assignment and I’m failing right now and really stressed. Should I just guess and receive all hundreds or actually work it out, it’s due at 12 and I have four more assignments.

Answers

Answer:

Just try your best for all of it, but make sure for each question, you at least have an answer, so the assignmet would count as complete.

Step-by-step explanation:

Answer:

submit whatever you have, guess all of it to get it all done. if you have time you can go back and check

Step-by-step explanation:

Aisha reduced the size of her square driveway. She made one side 10 feet shorter and the other side 15 feet shorter. The smaller rectangular driveway will have an area of no more than 800 square feet.

Answers

Complete Question:

Aisha reduced the size of her square driveway. she made one side 10 feet shorter and the other side 15 feet shorter. the smaller rectangular driveway will have an area of no more than 800 square feet. write an inequality to represent the area of the smaller driveway.

Answer:

The inequality that represents the area of the smaller drive way is [tex]x(x-25) \leq 650[/tex]

Step-by-step explanation:

Let the original length of the sides of Aisha's square driveway be = x

She made one side 10 ft short, i.e. (x - 10) ft

She made the other side 15 ft short, i.e. (x - 15) ft

Since the sides are no longer equal, the driveway is now a rectangle

The question states that the smaller rectangular driveway will have an area of no more than 800 square feet

Area of a rectangle = length * Breadth

Area = (x - 10)*(x - 15)

[tex]Area = x^{2} - 15x - 10x + 150\\Area = x^{2} - 25x + 150[/tex]

Area ≤ 800

[tex]x^{2} - 25x + 150 \leq 800\\ x^{2} - 25x - 650\leq 0\\x(x-25) \leq 650[/tex]

Solving the above, x = 40.9 or -15.9

Since the length of a square cannot be negative, x = 40.9 ft

Answer:

(x-10)·(x-15)≤800

Step-by-step explanation:

imagine math

which equation shows the value of -2/5 - -9/15

Answers

Answer:

-⅖ + ⁹/¹⁵ = 3/15

Step-by-step explanation:

-⅖ + ⁹/¹⁵ = 3/15

The correct answer for the given equation is  [tex]\frac{3}{15}[/tex].

What is PEMDAS?

PEMDAS is the right standardized way of solving math problems if multiple operations are being used. The acronym stands for parentheses, then exponents, then multiplication and division, then addition and subtraction.

Given the equation, [tex]-\frac{2}{5} -(\frac{-9}{15} )[/tex] if we follow the PEMDAS then we have to remove the bracket first, and after that negative sign before 9/15 will get positive as follow:

⇒  [tex]-\frac{2}{5} +(\frac{9}{15} )[/tex]

⇒    [tex]-\frac{6}{15} +(\frac{9}{15} )[/tex]

      [tex]\frac{3}{15}[/tex] .

Hence, The equation which shows the value of the given Problem is D.

Learn more about PEMDAS here:

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