What is the length of JK¯¯¯¯¯, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees.

Answers

Answer 1

Answer:

5 = side a

3 = side c

angle B = 62 degrees

JK is side b

Use the Law of Cosines to find the length of side b.

b^2 = a^2 + c^2 − 2ac cos(B)

b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)

b^2 = (25 + 9) − 30 x 0.469

b^2 = 34 - 30 x 0.469

b^2 = 34 - 14.084

b^2 = 19.916

b = √19.916

b = 4.463

Rounded to the nearest tenth is 4.5 mm.

Hope this helps!

Step-by-step explanation:

Answer 2

Answer:

4.5 mm

Step-by-step explanation:


Related Questions

5th grade math. correct answer will be marked brainliest

Answers

Answer:

70/9

Step-by-step explanation:

You can rewrite 8 pounds as 72/9.

Take away 2/9 and you are left with 70/9.

Answer:

[tex]\frac{2}{9} x \frac{8}{1} = \frac{16}{9} = 1 \frac{7}{9}[/tex]

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Answers

Answer:

8.64%

Step-by-step explanation:

Write it as a decimal

7/81 = 0.0864

0.0864 is the decimal representation for 7/81

For Percentage Conversion :

step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction

Fraction = 0.0864/1

step 2 multiply 100 to both numerator & denominator

(0.0864 x 100)/(1 x 100) = 8.64/100

8.64% is the percentage representation for 7/81

PLEASE PLEASE HELP!! I NEED THE ANSWERS ASAP

Answers

Answer:

Pictures below showing the answer :)

Step-by-step explanation:

Van kept track of the number of hours that he spent at the
pool each week for several weeks. He spent 6, 2, 6, 3, and
3 hours.
What is the mean number of hours that Van spent at the pool each week?
A. 20 hours
B. 4 hours
C. 3 hours
D. 5 hours

Answers

Answer:

B. 4 hours

Step-by-step explanation:

add every number up

6+2+6+3+3= 20

then divide by the number of numbers you used to add with.

20÷5=4

4 hours

What is the volume of this rectangular prism?

Jasper built a dollhouse for his younger sister.

A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches. A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches.
Which equation shows how to determine the volume of the dollhouse?
V = 24 (10) (8) + one-half (6) (24) (8)
V = 24 (10) (8) + one-third (6) (24) (8)
V = 24 (10) (8) + one-half (6) (24) (10)
V = 24 (10) (8) + one-third (6) (24) (10)

Answers

Answer:

It's A :)

Also can i please have brainliest :)

Answer:

A

Step-by-step explanation:

i need help with this​

Answers

Answer:

151

Step-by-step explanation:

Answer:

151

Step-by-step explanation:

PLS HELP ME PLS ANYONE I HAVE TO SUBMIT THIS AS SOON AS POSSIBLE PLS PLS PLS!!!!!!!!!!!!!!!!!

Answers

Answer:

Side length = 5.8 in

Perimeter = 29

Area = 58 in²

Step-by-step explanation:

✔️Find Side length using trigonometric ratio:

Angle at center of a pentagon is always 36° (we have measure of a full circle, 360, divided by 10 smaller triangles = 36°)

So:

Reference angle = 36°

Adjacent side = 4 in.

Opp = ½ of the side length of the polygon = x (let's represent this as x)

Thus, apply TOA:

Tan 36 = Opp/Adj

Tan 36 = x/4

4*Tan 36 = x

x ≈ 2.9 in (nearest tenth)

Side length = 2*x = 2*2.9 = 5.8 in

✔️Perimeter = 5*side length

Perimeter = 5*5.8 = 29 in

✔️Area = ½aP

Where,

a = 4 in

P = 29

Plug in the values

A = ½*4*29

A = 58 in²

Help with 2 3 4 and 5 please!

Answers

Answer:

Number 2 is A

Number 3 is (5, -4)

Number 4 is (5, -4)

Number 5 is (4, 2)

Step-by-step explanation:

Answer:

B, maybe (5,-4), (5,-4), (4,2)

Step-by-step explanation:

Translate just means to move, and vertex T just means the dot labeled "T". Move just that point three to he left and two to the right is (-5,0). I would give (5,-4) as the answer for three, but I'm not too sure and don't wanna spread false information... onto number 4. (3,1) and the form is (x,y) Right is positive, so ADD 2 to 3. Down is negative, so SUBTRACT 5 to 1. You now have (5,-4). 2 multiplied by 2 is 4 and 1 multiplied by 2 is 2. (4,2)

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Answers

Answer:

Step-by-step explanation:

Angle x is what I call "point to point" with the angle that measures 95 degrees. Because of this, they are vertical (the vertex of an angle makes a "v"; hence, the reason I call them point to point). Vertical angles are congruent. That means that they have the same measure. If x is vertical to an angle that measures 95 degrees, then x also measures 95 degrees.

Answer:

x is 95 degrees.

Step-by-step explanation:

Help please, i give brainlist

Answers

1st one is -9x+6, -16x-14, 7x+3,4x-14, 3x+11,-9x-2,24x-40

Is 80, 150, 170 a pythagorean triple?​

Answers

Answer:

Yes

Step-by-step explanation:

80² + 150² = 170²

6400 + 22500 = 28900

28900 = 28900

PLEASE HELP ANSWER CORRECTLY !!!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!!

Answers

Hello again, hehelol12.

PQ is equal to CB. So the length of PQ must be 9.

Angle PQR is equal to CBA. Therefore the measure of angle PQR is 46.

I hope this helps!

Step-by-step explanation:

since they are congruent triangles, all your have to done is the compare the longest side of the first triangle is equal to that of the other; the smallest side of the first triangle is equal to that of the second, and so for the corresponding angles

using the above method,

Answer:

a) from mere observation line PQ is the longest therefore it is equal to the length of the longest side of the other triangle. so line PQ = 9

b) again, ang PQ is the smallest, using the method, ang PQ = 46 degrees

but mind you, you could use a ruler to measure the length to find the longest more accurately.

please help me find the missing angles for each problem

Answers

Answer:

1) L1 = 123

L3 = 57

2) L1 = 49

L3 = 131

3) L2 = 116

L4 = 64

4) L1 = 108

L2 = 72

5) L3 = 69

L4 = 111

6) L3 = 124

L4 = 56

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Answers

The correct answer is B.

Can I please have brainliest?

Caleb has at least $5. Which inequality is correct?

c < 5

or

c < 5

Answers

Answer:

It would be c is greater than or equal to five

Step-by-step explanation:

c≥5

5≤c

For all values of x,
f(x) = 2x-3 and g(x) = x²+1

a) Find fg(x)
Simplify and give your answer in the form ax² + b

b) Find gf(x)
Simplify and give your answer in the form ax² + bx+c

Answers

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:

.Distribute and combine like terms: −4(7r + 7)

Answers

Answer:

−28r−28

Step-by-step explanation:

−4(7r+7)

=(−4)(7r+7)

=(−4)(7r)+(−4)(7)

3x+5y=27.50 & 6x+3y=27

I love you ​

Answers

Answer:

what do u want me to do withthis question

can u edit then I’ll edit

Step-by-step explanation:

What is 92 - (12 + 16) ÷ 4? I keep re-doing my math for it, but when I check it with a calculator I'm always wrong.

Answers

Answer:

85

Step-by-step explanation:

92 - (12 + 16) ÷ 4

PEMDAS states we do the equation in the paranthesis 1st

92 - (28) ÷ 4

PEMDAS states we do division next

92 - 7

85

Which is the vertex point of the equation y = (x - 1)2 - 16

Answers

Answer:

The vertex is at (h, k), which here is (1, -16).

Step-by-step explanation:

Compare the given y = (x - 1)2 - 16          (which should be y = (x - 1)^2 - 16 )

to                               y = (x - h)^2 - 16.

We can readily see that h = 1 and k = -16.

The vertex is at (h, k), which here is (1, -16).

worth 70 points PLZ HELLLLLLLLLLP
Four expressions are shown:

6(5x + 3)
6(6x + 2)
36x + 12
30x + 18
Which two expressions are equivalent to 6(5x + 2 + x)?

Answers

Answer:

B 6(6x + 2)

C 36x + 12

Step-by-step explanation:

I just did this question myself and I got it correct.

PLEASE HELPP ILL GIVE BRAINLIEST

Answers

The answer would be 75%

Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3

Answers

Answer:

f(x) = 4x^2 - 13

Step-by-step explanation:

f(x)=4(x-2)^2 + 3 parentaties first

f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties

f(x) = 4x^2 - 16 + 3 combine light terms

f(x) = 4x^2 - 13 Answer

Hope I helped :)

geometry ^
please help me

Answers

2.99

by process of a elimination it can’t be the bottom two since the object is getting larger. If you take 6.21/5.4 you end up with 1.15. So now if you take 2.99/2.6 it also equals to 1.15.

please help me answer this!

Answers

Answer:

right

Step-by-step explanation:

tell me if i was wrong

How Roses Got Their Thorns.

Many years ago ,in the land of Lucia, there was a beautiful queen named —————. Queen —————lived in a century old castle surrounded by a forest on the north side,a maze on the east side, a fountain on the west side and a rose garden on the south side. Her private living quarters had a large window facing the south. Each morning she would start her day by opening her window to the sweet aroma coming from her rose garden. She had a special servant whose only job was to care for her roses. Queen ———- rose garden was her favorite place and every day she would spend time there relaxing and caring for her lovely blooms. Her garden was world famous and people came from miles around to visit and enjoy their beauty and lovely fragrance.
One day she notice there were fewer blooms than usual and she became concerned. She thought her servant was not doing his job,so she obtained a new gardener. The blooms continued to disappear and then she noticed that plants were starting to disappear. Finally, she had some of her servants start guarding the roses. They discovered that the visitors were picking and digging up her roses. She loved sharing the beauty of her garden with her subjects but she had to find a way to protect her roses . Several attempts were tried to protect the. She had a fence built,but the people knocked it down. She had a wall built but they climbed over it. She put guards around but the guards could not be everywhere and the people continued to take her roses . Finally, she sought the advice the local wizard . His solution was to put a curse on the roses. Queen———-agreed to a curse as long as it did not affect the aroma or the beauty of them Beginning that day the loveliest of flowers started growing thorns and still do. P

Answers

Answer:

Queen Marie Antoinette

Please help me with this it was due yesterday.

Answers

Answer:

domain= infinity on both sides.  range= -3<y<infinity

Step-by-step explanation:

hope this helps

Have a nice day :)

A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.

Answers

The answer is B. Even just looking at the negatives of the other solutions, you can see that it is B because the intersection has a negative x and a positive y.

Please help, solve for x

Answers

Answer:

x = 6

Step-by-step explanation:

10x = 5 x 12 = 60

x = 6

PLEASE HELP!!!!! WORTH 40 POINTS

Answers

Answer:

B : 3/2

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

answer is B. i think so...

[tex] \frac{54}{36} = \frac{3}{2} [/tex]

have a nice day

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