The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?A. square root 33 units
B. square root 65 units
C. 33 units
D. 65 units
Answers
Answer:
Correct option is:
B. square root 65 units
Step-by-step explanation:
Pythagorean theorem states that the square of hypotenuse is equal to the sum of squares of the legs of the right angled triangle.
Here, we are given that:
The legs of a right triangle are 4 units and 7 units.
By Pythagoras theorem
Hypotenuse²=4² +7²
= 16+49
= 65
⇒ Hypotenuse=
Hence, Correct option is:
B. square root 65 units
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Answers
Answer:
Carlotta needs 24 orange beads for her necklace.
Step-by-step explanation:
For each necklace, the ratio of blue beads to orange beads is 3 to 2. or 3:2
Total beads given to make a necklace is = 60
Let the number of orange beads be = x
The ratio is 2 orange beads out of 5 total beads
So, we can represent the ratio as:
x=24
Hence, Carlotta needs 24 orange beads for her necklace.
Blue beads needed =
We can also check the ratio for blue beads to orange beads:
Divide by 4, we get
Divide by 3, we get
...... (the given ratio)
Therefore, Carlotta needs 24 orange beads for her necklace.
x=12
2x=24
......
Is my answer right.
Answers
Answer:
Yes
Step-by-step explanation:
The two angles that are both acute (B and C in this case) add up to 90 degrees. That's because a right triangle has 1 angle that = 90 and every triangle has 180 degrees.
<B + <C + 90 = 180
<B + <C = 180 - 90
<B + <C = 90
Equation
2x + 15 + 5x - 2 = 90 Collect like terms
Solution
7x + 13 = 90 Subtract 13 from both sides
7x = 90 - 13 Subtract
7x = 77 Divide by 7
x = 77/7 Divide
x = 11 Substitute
<B
<B = 2x + 15
<B = 2*11 + 15
<B = 37 which makes your answer right
B. Is correct
37°
Hope it helps
Answers
Answer:
I belive it's $703.13
Step-by-step explanation:
She worked for 40 hrs which will give her, her normal pay. You do 450/40 to get 11.25. So her normal pay is $11.25. Then it says she earns 1.5 times the normal amount, so you would do 11.25 * 1.5. That equals 16.875. so her pay for every hour after 40. 55-40=15. That means she will have 15 hours where she gets 1.5 times her normal pay. So you do 16.875 * 15=253.125. She gets $253.125 for her extra 15 hours of work. Next, you need to add the total amount earned for the 40 hours. 450+253.125=703.125. Her total for the week she worked 55 hours she earns $703.13.
I hope this makes sence and helps. ( * means multiply)
Answers
What number is 8% of 575?
x = .08 * 575
x = 46 students
2. Salad
What number is 20% of 575?
x = .20 * 575
x = 115 students
3. Burgers
What number is 16% of 575
x = .16 * 575
x = 92 students
4. Fruit
What number is 24% of 575
x = .24 * 575
x = 138 students
What is 8% of 575?
x=575(.08)
x=46 students
2.Salad
What is 20% of 575?
x=575(.2)
x=115 students
3. Burgers
What is 16% of 575?
x=575(.16)
x=92 students
4. Fruit
What is 24% of 575?
x=575(.24)
x=138 students
46+115+92+138=575
Answers
Quadrilateral ABCD is a parallelogram with diagonals that intersect at point E.
AD = 4w - 5
DE = 4
BE = x/2
BC = 7w - 17
AD and BC are parallelogram, this means that they are equal in measure.
AD = BC
4w - 5 = 7w - 17
4w - 7w = -17 + 5
-3w = -12
w = -12/-3
w = 4
AD = BC
4(4) - 5 = 7(4) - 17
16 - 5 = 28 - 17
11 = 11
DE = BE
4 = x/2
4*2 = x
8 = x
The value of x is 8.
Answer: The value of x is 8.
Answers
Combine like terms.
-3p -3p = (-3-3)p = -6p
-27 = -6p + 15
Subtract 15 from each side to get the variable term on its own.
-27 - 15 = -6p + 15 - 15
-42 = -6p
Divide each side by -6 to find p.
p = -42 ÷ -6 = 7