The lengths of the other two sides are 6 inches and 5 inches
Let b represent the base of the right triangle, h represent the height of the right triangle and x represent the hypotenuse.
Since the area of the triangle is 15 in², hence:
Area(A) = (1/2) * base * height
15 = (1/2)bh
bh = 30
b = 30/h (1)
Applying Pythagoras theorem also:
x² = b² + h²
(√61)² = b² + h²
61 = (30/h)² + h²
61 = 900/h² + h²
61h² = 900 + h⁴
h⁴ - 61h² + 900 = 0
h = -6, -5, 5, 6
Since the length cant be negative, hence h = 5 or h = 6
When h = 5; b = 30/5 = 6
When h = 6; b = 30/6 = 5
Therefore the lengths of the other two sides are 6 inches and 5 inches
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What is 024 rounded off to the nearest 100?
Answer:
0.24
Step-by-step explanation:
There is nothing, after the hundredths (4), to round it, So 0.24 is already rounded to the nearest hundredths.
The number 0.024 after rounded off to the nearest hundred its become 0.02.
What is rounding off?Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.
Given that;
The number is,
⇒ 0.024
Now, After rounding off to the nearest hundred, we get;
⇒ 0.024 ≈ 0.02
( Because 4 is less than 5. )
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hi..
A bike race takes place over a 3 mile course. How many feet is it?
a
15280 ft
b
3000 ft
c
15,840 ft
d
15000 ft
Answer:
A
Step-by-step explanation:
Here is ur answer
- BRAINLIEST answerer
What is an equation of the line that passes through the point (4, −1) and has
slope −5?
Answer:
y + 1 = -5(x - 4)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (4, -1) → x₁ = 4, y₁ = -1
Slope m = -5
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: y - -1 = -5(x - 4)Simplify: y + 1 = -5(x - 4)ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15
Answer:
7.1 in²
Step-by-step explanation:
If you mentally rearrange the figure it's
a circle with a radius of 1
and a square with side of 2
Area of circle
a = 3.14r²
a = 3.14 * 1²
a = 3.14
Ares of square
a = s²
a = 2²
a = 4
Combined ares
a = 3.14 + 4
a = 7.14
Rounded
7.1 in²
Which expression is the factored form of−4.5n+3?
−1.5(3n+2)
−3(1.5n+1)
−3(1.5n−1)
−1.5(−3n+2)
Answer:
— 3 (1.5n — 1)
Step-by-step explanation:
[tex] - 4.5n + 3 = - \frac{9}{2} n + 3 = 3( - \frac{3}{2} n + 1) = - 3( \frac{3}{2}n - 1) \\ = - 3(1.5n - 1)[/tex]
A parking area that is to be resurfaced is shaped like a trapezoid. The bases are 90 feet and 100
feet, and the height is 30 feet. What is the cost if the price of the resurfacing is $1.10 per square
foot? Answer in a whole dollar amount, without the dollar sign.
Based on the dimensions of the parking area, we know that the cost of resurfacing will be $3,135.
First find the area of the parking area:
Area of trapezoid = (Base ₁ + Base₂) / 2 x Height
= (90 + 100) / 2 x 30
= 2,850 feet²
The cost of resurfacing is:
= Area x cost per square foot
= 2,850 x 1.10
= $3,135
It will cost $3,135 to resurface the place.
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Evaluate each expression if x = 7, y = 1, and z = 8.
=
19. x + y + 2
20. x + 2z
21. 4y
22. 4x – 3z
23. 4x – 17
24. 62 – 52
shto The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
25. 9y + (2x + 1)
26. 14 + 2z
27. 2 : 2
28. xz
29. y - x
30. 24y - 2
31. x2 – 2y + 8
32. 2xz
33. 30y - 40x – 1,000
19, 15.5
20, 25
21, 1/16
22, 4
23, 11
24, 8
25, 19.5
26, 30
27, 4
28, 56
29, 6.5
30, 4
31, 21
32, 112
33, 3,200
here are they
help me plz i need help
Answer:
x=16/15
Step-by-step explanation:
Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm
a population of deer is increasing at a rate of 12% per year, if this rate of growth remains the same, and the population starts out with 250 deer approximately how many deer will there be in 5 years?
Answer:
first calculate the number of deer's represented by the 12% that is (12*250)/100
Second mutipy the results that is the number of deer's in one year by 5 years that is (40*5)
Third and last add the second results to the approximated original number of deers to find the total popullation in the five years that is (200+250=450)
Step-by-step explanation:
Identify this function
f (x) =x
Answer:
linear
Step-by-step explanation:
Find the slope between these two points: (-3. 2) and (7.9).
Answer:
m= 7/10 or m = 0.7
Step-by-step explanation:
Slope of the line between 2 points is found using the coordinates of the points.
m = (y2-y1) / (x2-x1) for (x1 = -3, y1 = 2) and (x2 = 7, y2 = 9)
m = (9 -2) / ( 7- -3)
m= 7 / 10
12/23+(9 6/8−3 1/4) sorry for asking the same question but I NEED HELP
Answer:
[tex]\frac{12}{23} + (9 \frac{6}{8} - 3 \frac{1}{4})[/tex]
Exact Form:
[tex]\frac{323}{46}[/tex]
Decimal Form:
7.02173913
Mixed Number Form:
7 [tex]\frac{1}{46}[/tex]
Step-by-step explanation:
How many Solutions does 6 + x/5 = x/5 - 5 - 3x/10 have?
9514 1404 393
Answer:
1 solution (x = -36 2/3)
Step-by-step explanation:
6 + x/5 = x/5 - 5 - 3x/10 . . . . . . . given
60 +2x = 2x -50 -3x . . . . . . . . . multiply by 10
3x = -110 . . . . . . . . . . . . . . . . add x-60 to both sides
x = -110/3 = -36 2/3 . . . . . .divide by the coefficient of x
There is one solution to the equation.
_____
Additional comment
The coefficient of x on the left side of the equation is not equal to the coefficient of x on the right side. When that is the case, the equation will have one solution.
When the coefficients are equal, there will be no solutions if the constants are different, and there will be infinite solutions if the constants are the same.
find the quotient please
Please help pleasee right now
Ms. Mary spent $192 less than Ms.Mona on supplies for their class. Together they spent a total of $988. How much did each person spend?
Answer:
Mary:604
Mona:796
Step-by-step explanation:
Answer:
Ms. Mary spend $302
Ms. Mona spend $ 686
Step-by-step explanation: We know that Ms. Mary spend $192 less than Ms. Mona.
So we are to divide $988 by 2 which is 494
now both have $494 each but Ms. Mona spend 192 so we are to add 192 + 494 to get the right sum of how much money Ms. Mona have and take away 494-192 to get the right sum of how much money Ms. Mary spend.
192 + 494 = 686
494 - 192 = 302
Original Price of a truck $17,100.00 Tax:2.4%
Answer:
17504.40
Step-by-step explanation:
You take 17100 x 2.4% and get 410.40
add 17100 and 410.40 and get 17504.40
100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve 2x2 – 6x + 10 = 0 by completing the square.
Question 10 options:
A)
x = 3∕2 + 1∕2 i, x = 3∕2 – 1∕2i
B)
x = 3 + i, x = 3 – i
C)
x = 3∕2 + i , x = 3∕2 – i
D)
x = 3 + i, x = 3 – i
Answer:
Ok I don't know waht you mean but the answer is
Step-by-step explanation:
Answer:
x=3/2±(√11)2
x=1.5+1.65831i
x=1.5−1.65831i
Find the Solution for
2x^22−6x+10=0
using the Quadratic Formula where
a = 2, b = -6, and c = 10
x=(−b±√(b^2−4ac))/2a
x=(−(−6)±√((−6)2−4(2)(10)))2(2)
x=(6±√(36−80))/4
x=(6±√−44)/4
The discriminant b^2−4ac<0
so, there are two complex roots.
Simplify the Radical:
x=(6±2√11 i)/4
x=6/4±(2√11 i)4
Simplify fractions and/or signs:
x=3/2±(√11)2
which becomes
x=1.5+1.65831i
x=1.5−1.65831i
In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]
Answer:
25
Step-by-step explanation:
AC=50 ∴BC=25
DF is the opposite of BC ( take it as a square BCDF)
Which description matches the object?
O A. The object is a square with a circle inside of it. Each side of the
square is a diameter of the circle.
B. The object is a circle with a square inside of it. The sides of the
square are radii of the circle.
C. The object is a circle with a square inside of it. The sides of the
square are chords of the circle.
D. The object is a circle with a square inside of it. One side of the
square is a diameter of the circle.
Jorge bikes to school each day. If he can travel 33 miles in 11 hours, how fast does he travel in one
hour?
Write a symbolic expression using division that represents this problem.
Calculated Answer:
miles per hour
33 miles divided by 11 hours will give you the mile per hour traveled.
Answer: 3 miles per hr
what is equation of the line shown in this graph
Since this is a horizontal line, the equation for this is simply
[tex]y = -3[/tex]
A casserole recipes calls for 4 ounces of cheese. Emerson wants to use half of the amount of cheese in his casseroles. How many pounds of cheese will he need to make 28 casseroles with his revised recipe?
Answer:
Step-by-step
4 oz = 1/4 pound.
1 casserole requires 1/4 pound
28 casseroles require x
1/28 = 1/4 // x For ease change 1/4 to a decimal
1/28 = 0.25 / x Cross multiply
1*x = 28 * 0.25
x = 7
We need 7 pounds of cheese to make 28 dishes.
(-5)⁶ ÷ (-5)⁸
Solution
Evaluate.
(1/5) −1 ⋅ 4^0
0
1
5
20
Answer:
-1519 4/5
-1519.8
-7599/5
Step-by-step explanation:
Can someone tel me if the answers are correct ? Please
Answer:
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Each square below represents one whole ……. What percent is represents by the shade area ?
Find the value of x. Show all work.
(9x+9)°
45
5x
The ratio of the measures of the sides of a triangle is
9:10:4. If the perimeter of the triangle is 276 inches, find
the length of the shortest side.
X =
=
Length of shortest side =
Answer:
X = 48 inches for the shortest side
Step-by-step explanation:
9s = first side
10s = second side
4s = third side
Perimeter = sum of the sides
276 = 9s + 10s + 4s
276 = 23s
276/23 = s
12 = s
9s = first side; 9(12) = 108
10s = second side; 10(12) = 120
4s = third side; 4(12) = 48