In XYZ right angled at Y. find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.

Answers

Answer 1

9514 1404 393

Answer:

  6.5 cm

Step-by-step explanation:

The Pythagorean theorem applies. You want c for a=1.6, b=6.3.

  c² = a² +b²

  c² = 1.6² +6.3² = 2.56 +36.69 = 42.25

  c = √42.25 = 6.5

The length of the hypotenuse is 6.5 cm.


Related Questions

which symbol will make the following statement true? |−27|_____ 19

Answers

Answer:

the greater than symbol(>)

Step-by-step explanation:

the absolute value of -27 is 27. 27>19

Jack paid $120 to have his bus fixed at an auto-repair shop.
The parts of the bus cost $72, and service was charged at $12
an hour. How many hours was the bus worked on?

Answers

Answer:

4 hours

Step-by-step explanation:

72+12x=120 and when you isolate x you get x=4

Please help! Find the value of X. Round to the nearest tenth. acellus

Answers

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

The law of sines tells you ...

  sin(x)/15 = sin(27°)/11

  sin(x) = (15/11)sin(27°) . . . . . multiply by 15

  x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

  x ≈ 38.2°

_____

Additional comment

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle  (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

b. Name all three angles
listed in the figure below:
C. Solve for X

Answers

the angles are wer . rek . wek


Inverse of
f(x) = 4x+16

Answers

F-1 (X)= x/4 -4 I think this is it

what is 1/10 as a percentage

Answers

The fraction 1/10 is 10% as a percentage .. 0.1

Answer:

10% or .10

Step-by-step explanation:

4 1/2 - 1 2/3 = ?


what is the question mark ?​

Answers

Answer:

17/6 LMK if you need a different form.

Step-by-step explanation:

(3,2), (3,5)
Find the equation in slope-intercept form of the line passing through the points with the given coordinates

Answers

Step-by-step explanation:

The equation for the slope-intercept is y =3x-4

Work out
3/8 x 11

Give your answer as a mixed number.​

Answers

Answer:

4.125 in decimal form and 4 1/8 in simplified fraction form

Step-by-step explanation:

The value of multiplication of an improper fraction 3/8 and a whole number 11 as a mixed number is 4 1/8.

To calculate 3/8 × 11 as a mixed number, we can follow these steps:

Step - 1:

Multiply the whole number by the numerator of the fraction:

11 × 3 = 33

Step - 2:

Divide the result by the denominator of the fraction:

33 ÷ 8 = 4 with a remainder of 1

Step - 3:

The whole number part of the mixed number is the quotient from the division:

The whole number part is 4.

Step - 4:

The fractional part of the mixed number is the remainder divided by the original denominator:

The fractional part is 1/8.

Therefore, the answer to 3/8 × 11 as a mixed number is 4 1/8.

To learn more about the fractions;

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At the beginning of spring, Arun planted a small sunflower in his backyard. When it
was first planted, the sunflower was 15 inches tall. The sunflower then began to grow
at a rate of 1.5 inches per week. How tall would the sunflower be after 3 weeks? How
tall would the sunflower be after w weeks?
Height after 3 weeks:
Height after w weeks:
Submit Answer

Answers

Answer:

height After 3 weeks: 19.5

Step-by-step explanation:

I dont know answer to second

The area of the parallelogram is 315 square units. What is the height of the parallelogram?


WILL GIVE BRAINLEST

Answers

Answer:

15

Step-by-step explanation:

A÷B= H (Area divided by base equals height)

315÷21= 15

Answer:

height = 15

Step-by-step explanation:

Area of a parallelogram: Base * height

Plug in the values we know.

21 * height = 315

Divide both sides by 21

height = 15

PLS HELP ME AGAIN SMART PEOPLE I NEED A GOOD ANSWER PLSS IM CRYING

Answers

Answer:

1.b

2.d

Step-by-step explanation:

1.6(3x + 5) = 18x + 30 = 15x + 30 + 3x.

SO, the ? is equal to 30.

2. d

Which statement about the reflection below is true?

Answers

Answer:

A

Step-by-step explanation:

took le test review and got that question right

Answer:

A

Step-by-step explanation:

got it right edge2021

Classify the equation as a conditional equation, an identity, or a contradiction. 4x+5x−15=9x−10−5

Answers

Answer:

Identity

Step-by-step explanation:

Conditional equation, an identity, or a contradiction.

Conditional equation: Two sides are equal for some value of x.

Identity: Two sides are equal for every value of x.

Contradiction: We have 0x = number that is not 0.

4x+5x−15=9x−10−5

Lets solve

[tex]4x + 5x - 15 = 9x - 10 - 5[/tex]

[tex]9x - 15 = 9x - 15[/tex]

Equal on both sides, so identity.

Answer:

conditional equation

Step-by-step explanation:

Collecting terms on both sides, we get

−4+3x−5x−2x−4=−1−10+x=x−11

Subtracting x and adding 4 to both sides of the equation, we get

−3x=−7

This can be solved by dividing by −3 on both sides of the equation, which gives a unique solution of 73. So, this is a conditional equation.

Which expression is equivalent to -5(2x – 10)?
Help ples

Answers

The answer is c.

-5(2x-10)=
Distribute
-10x+50

-10(x-5)= -10x+50

13
Owen and Tony are helping pick apples on their aunt's farm. Owen has picked 127 apples and Tony has picked 261 apples.
Choose the equation that can be used to find how many more apples Tony picked than Owen.
OA. ? - 261 = 127
OB. 261-127 = ?
OC. 127 - 261 = ?
OD. ?-127 = 261
Reset
Submit

Answers

Answer:

The answer is B

261-127 should be the answer or 127-261

3x + 5 – x + 3(x + 2).

Answers

The answer is
Distribute the 3 first.
Then add and subtract like terms.
5x+11

Write an equation in slope-intercept form for the line between (2,7) and (6, 19)

Answers

Answer:

y= 3x +1

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

☆ (x1, y1) is the 1st coordinate and (x2, y2) is the 2nd coordinate

Using the formula above, slope of line

[tex] = \frac{19 - 7}{6 - 2} \\ = \frac{12}{4} \\ = 3[/tex]

Subst. m=3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates.

When x= 2, y= 7,

7= 3(2) +c

7= 6 +c

c= 7 -6

c= 1

Thus, the equation of the line is y= 3x +1.

Please help me please guys please guy

Answers

Answer:

[tex]y = 2 {(x - 3)}^{2} + 1[/tex]

Answer:

D) 2(x - 3)² + 1

Step-by-step explanation:

First off:

the equations are in y = a(x-h)²+k format.

So, that means that since the vtx is (3, 1), the answers could only be c or d

The difference between the two is one parabola is reflected (negative) and the other is facing up. Since (1, 9) is above the vtx, only D is the one that passes through (1, 9) because it is the only one facing upward to touch that point.

Fei Yen bought a 28-pound bag of dog food. How many ounces are in a 28-pound bag of dog food?

Answers

Answer:

448 oz.

Step-by-step explanation:

28x16 = 448

Answer:

448 ounces

Step-by-step explanation:

1 pound = 16 ounces

16x28=448

-360 divided by -40 ?

Answers

Answer: 9

Step-by-step explanation:

The required -360 divided by -40 is equal to 9. The negative signs cancel out when dividing two negative numbers, resulting in a positive result.

When dividing two negative numbers, it's helpful to keep in mind the following rule:

The division of two negatives yields a positive result.

Now, let's perform the division:

-360 ÷ -40

Since both numbers are negative, we know the result will be positive.

Divide the absolute values of the numbers.

|-360| ÷ |-40| = 360 ÷ 40 = 9

Apply the rule for the division of two negatives.

Since both numbers are negative, the result will be positive:

-360 ÷ -40 = 9

Therefore, -360 divided by -40 is equal to 9.

Learn more about division here:

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A box of cereal contains 16 cups. If each bowl holds 1 1/3 cups of cereal, how many bowls of cereal will you get out of the box?

Answers

Answer:

the answer is 12

Step-by-step explanation:

Please help!!!!

If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Answers

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

[tex]f(1) = 2[/tex]

Now, we find f(2) in function of f(1). So

[tex]f(1+1) = f(1)^2 - 3[/tex]

[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]

Now, with f(2), we can find the value of f(3).

[tex]f(2+1) = f(2)^2 - 3[/tex]

[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]

The value of f(3) is -2.

Brad paid $7.00 for books and $0.99
for pencils. How much did he spend?
A $10.60
B $1.06
$79.90
$7.99

Answers

Answer:

7.99 or D

Step-by-step explanation:

It is simple addition.

$7.99 so the answer is d

A bag contains 5 red and 3 bluearble. Two marbles are drawn simultaneously from the bag. DETERMINE the probability that at least one is red. ​

Answers

Answer:

5/8

Step-by-step explanation:

solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2​

Answers

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

WHAT IF? The elevation of a dolphin is -1/10 kilometer. Which of the sea creatures are deeper than the dolphin? (Convert the fractions to decimals.)
Anglerfish = -13/10
Squid = -2 1/5
Shark = -2/11
Whale = -0.8

Answers

Answer:

bapak kau belajarnshsjajajaka

Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank
1. 1. Complete the transformation statement for moving Paul’s pole barn, (x,y) (x+ fill in the blank, y + fill in the blank)
2. Draw the new location of the pole barn on the graph below. Note that the stock tank is located at the origin
3. How far is it from the old location to the new location? (Hint: use the distance formula

Answers

Answer:

Step-by-step explanation:

(x,y) ↦ (x+130, y-105)

original position of SE corner: (-50,25)

new position of SE corner: (80,-80)

distance = [tex]\sqrt{(80-(-50))^{2}+(-80-25)^{2} }[/tex]≅167.1 ft

Зх - у = 2
What is the y corddinate

Answers

Answer:

y=3x-2

Step-by-step explanation:

Answer:

the y is -2

Step-by-step explanation:

wyaggsgssgsgs

Find the value of x.
PLEASE HELP this test is timed <3

Answers

Answer:

19

Step-by-step explanation:

180 - 123 = 57

57/3 = 19

hope this helps