What is the length of each leg of the triangle below?
A. Square root of 11
B. Square root of 22
C. 1
D. Square root of 11 and 2
E. 11
F. 15
Answers
A. square root of 11 is it
The required length of the legs of triangle is 11√2. Option D is correct.
From figure
Hypotenuse = 22
Angles of leg = 45°
The triangle is geometric shape which includes 3 sides and sum of interior angle equal to 180°.
Let the length of the legs be x
sin45 = perpendicular/Hypotenuse
1/√2 = x/22
x = 11√2
Thus, the required length of the legs of triangle is 11√2.
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Related Questions
given the function f(x)=(x-2)(x+3)(2x+3), which set includes all of the zeros for the polynomial?
Answers
Answer:
{2, -3, -3/2}
Step-by-step explanation:
hi! we can set each of the binomials equal to 0 to find the zeros of this polynomial.
x-2=0
x=2
x+3=0
x=-3
2x+3=0
2x=-3
x=-3/2
The set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.
What is a polynomial?They are mathematical expressions involving variables raised with nonnegative integers and coefficients(constants that are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and nonnegative exponentiation of variables involved.
We have been given the function f(x)=(x-2)(x+3)(2x+3)
Each of the binomials is equal to 0 to determine the zeros of this polynomial.
1. x-2=0
x=2
2. x+3=0
x=-3
3. 2x+3=0
2x=-3
x=-3/2
Hence, the set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.
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For three consecutive plays, the Patriots gained
12 yards per play. On the next play, they lost 5
yards. What is the change in field position for
these four plays?
Answers
Answer:
The overall change in field position is 7yds, 0 - 5 + 12 = 7, if that isn't a "sum of integers" I apologize.
Step-by-step explanation:
Which expressions are equivalent to (4n − 4) −( n + 8) ?
Answers
Answer:
3 (n - 4)
Step-by-step explanation:
A student solved the equation below using the steps shown, rounding to two decimal places if necessary.
which step contains the first mistake ?
A. step 2
B. step 1
C. step 3
D. step 4
Answers
Answer:
Step 1
Step-by-step explanation:
. Keisha and her mom are at the grocery store. Keisha's mom allows her to buy a 2 pound bag of candy. Keisha can choose gummy worms, which are .40 cents per pound, or she can choose sour patches, which are .60 cents per pound. How much of each candy can Keisha buy?
Answers
Answer:
She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches
Step-by-step explanation:
Keisha is allowed to buy only 2 pounds bag of candy.
Now, she can choose either gummy worms or sour patches.
Gummy worms are 0.4 cents per pound while sour patches are 0.6 cents per pound.
Thus, maximum amount she can spend on gummy worms is; 0.4 × 2 = 0.8 cents
Maximum she can spend on sour patches is; 0.6 × 2 = 1.2 cents
She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches
Solve:
-2(x – 4) = -8
x = 8
X = -8
X = 16
X = -16
Help please
Answers
Answer:
x = 8
Is that what you wanted?
what’s the quotient of -21/-3?
Answers
Answer:
7
Step-by-step explanation:
When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.
ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?
Answers
Answer:hope it helps,
Step-by-step explanation:
PLEASE HELP ASAP
Salina’s age is one-quarter the age of her aunt. If a represents her aunt’s age, which expression represents Salina’s age?
4a
a minus 4
a + 4
StartFraction a Over 4 EndFraction
Answers
Answer:
a over 4
Step-by-step explanation:
hope this helps you
Answer:
Last answer I think, it was hard to understand the explained choices but I think it's a/4.
Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.
1. Which trail do you think would be more difficult to hike up?
2. Explain your answer to question
Answers
2. Because it has more miles than B does and the elevation is lowers
DUE 10 MIN PLEASE HELP
show work
Answers
Answer:
10
Step-by-step explanation:
For the percent 58%, (a) write a decimal and (b) write a fraction in lowest terms.
Answers
Answer:
A) 0.58
B) 58/100
Step-by-step explanation:
Can i have brainliest if its right :)
A hybrid car uses 1 gallon of gasoline to drive 54 miles. How many gallons of gasoline would be used to travel 162 miles?
Answers
Answer:
3 gallons
Step-by-step explanation:
if 1 gallon is consumed for 54 miles
what about 164 miles ..
so you take 1 * 162
..........
54
Find the slope of the line through each pair of
points.
(-2,-19), (-20, 11)
Answers
Answer:
[tex]m=\frac{11+19}{-20+2} \\m=\frac{30}{-18} \\m=\frac{-5}{3}[/tex]
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Complete: y2 - y1 over x2 - x1 with your given points.
11 - (-19) = 30
______ ______
-20 - (-2) = -18
⁻³⁰⁄₁₈ = ¹⁵⁄₃ = ⁵⁄₁ Simplify to lowest fraction
According to.the order of operation, which of the following operations should be completed first in the following expression 2(5-3)^3+6^2
Answers
Answer:
Step-by-step explanation:
PEDMAS
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A - Addition
So, 2(5-3)^3+6^2
5 - 3 should be completed first as it is inside parenthesis
2(5-3)^3+6^2 = 2 *2^3 + 6^2
= 2 * 8 + 36 {exponents}
= 16 + 36 {Multiplication}
= 52
ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!
Answers
Answer:
c
Step-by-step explanation:
dont quote me
Answer:
c.
Step-by-step explanation:
what is the product of (-0.5)(-1.2)(-5.22)?
0. -9.8
0. -3.132
0. 3.132
0. 9.8
Answers
Answer:
The answer is B or -3.132
Step-by-step explanation:
You are multiplying 2 negatives and a positive, so it guarantees it will be negative! Hope this helps!
The mean temperature for the first 4 days in January was -12°C.
The mean temperature for the first 5 days in January was -13°C.
What was the temperature on the 5th day?
Answers
Answer:
-17Step-by-step explanation:
Given
The mean temperature for the first 4 days = -12°CThe mean temperature for the first 5 days = -13°CTo find
The temperature on the 5th daySolution
Total of 4 days = 4*(-12) = -48°CTotal of 5 days = 5*(-13) = -65°CThe difference is the temperature on the 5th day:
-65 - (-48) = -17°CAnswer:
-17
Step-by-step explanation:
Given
The mean temperature for the first 4 days = -12°C
The mean temperature for the first 5 days = -13°C
To find
The temperature on the 5th day
Solution
Total of 4 days = 4*(-12) = -48°C
Total of 5 days = 5*(-13) = -65°C
The difference is the temperature on the 5th day:
-65 - (-48) = -17°C
There are 420 grams of sodium in 3 cans of soup. Which equation finds the number of grams of sodium, s, in 1 can of soup? A 1s=34201 over s is equal to 3 over 420 B 3s=14203 over s is equal to 1 over 420 C s420=31s over 420 is equal to 3 over 1 D s1=3420s over 1 is equal to 3 over 420
Answers
Answer:
[tex]1\ can = 140g[/tex]
Step-by-step explanation:
Given
[tex]420 g = 3\ cans[/tex]
Required
Determine the number of grams in 1 can
[tex]420 g = 3\ cans[/tex]
Reorder
[tex]3\ cans = 420 g[/tex]
Divide both sides by 3
[tex]\frac{3\ cans}{3} = \frac{420 g}{3}[/tex]
[tex]1\ can = 140g[/tex]
Hence;
There are 140 grams in 1 can
combine like terms to simplify the expression
Answers
Answer:
[tex]\frac{1}{2} k-\frac{3}{5}[/tex]
Step-by-step explanation:
Step 1: Define expression
[tex]\frac{2}{5} k-\frac{3}{5} +\frac{1}{10} k[/tex]
Step 2: Change denominators to like terms
[tex]\frac{4}{10} k-\frac{3}{5} +\frac{1}{10} k[/tex]
Step 3: Combine like terms
[tex]\frac{5}{10} k-\frac{3}{5}[/tex]
Step 4: Simplify
[tex]\frac{1}{2} k-\frac{3}{5}[/tex]
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
55 is what percent of 100?
Answers
Answer:
55%
Step-by-step explanation:
100 is a whole number. Half of 100 is 50 meaning that you have divided 100 by 1/2 or 50%.
55/100 = 55%
Answer: 55%
Step-by-step explanation:
Solve for p, I don't know what else to add but yeah
solve for p?
Also explain
Answers
Answer:7
Step-by-step explanation:
6p-4+7p+3=90
13p-1=90
13p=91
p=7
Lets work on an old skill you ve already learned!
Determine the following for the set of data
13, 18, 13, 14, 13, 16, 14, 21, 13
Mean
Median
Mode
Range
Answers
Answer:
mean:15
median:14
mode:13
range: 8
Help me I need it giving brainiest
Answers
Answer:
120
Step-by-step explanation:
there are three sides, they have to equal 360 degrees so 360/3 = 120, you got it right.
What is 3/5 as a percent?
Answers
Answer:
3/5 as a percent is 60% hope that helps
John took 8 hours to drive 385 miles. He believes that at this same rate he will need at least 17 hours to drive 1000 miles which is the best estimate of the total amount of time he will need to drive 1000 miles
A- 17
B- 19
C-21
D-15
Answers
Answer:
Step-by-step explanation:
Step one:
give data
time= 8hours
distance=385mile
speed=?
Step two:
let us solve for the speed
Speed= distance/time
Speed=385/8
speed=48.125miles per hour
Step three:
let's find the time taken to cover 1000mile at the speed of 48.125 mi per hour
speed=distance/time
time=distance/speed
time=1000/48.125
time=20.779hours
approximately 21 hours
pls help again (picture below)
Answers
Answer:
C 10 to the power of 7 equals 10,000,000 and x 3.45 = 3450000000
Step-by-step explanation:
what is x in x/5 = -3
Answers
Answer:
-15
Step-by-step explanation:
x/5 = -3
multiple both sides of equation by 5:
x = -3(5)
x = -15
Answer:
-15
Step-by-step explanation:
Hope this is the right answer
Bobby Joe and Billy ray went fishing at the local watering hole and caught a total of 51 fish. Billy Rat caught 17 fewer fish than Bobby Joe. Write an expression you can use to find out how many fish, f, each boy caught. How many fish did each boy catch? Bobby Joe caught ___ fish Billy Ray caught___ fish
Answers
Answer:
Bobby Joe caught 34 fishes
Billy Ray caught 17 fishes
Step-by-step explanation:
Let the number of fish Bobby Joe caught = y
Let the number of Billy Ray caught = x
Total number of fish caught = 51 fishes
x + y = 51......... Equation 1
Billy Ray caught 17 fewer fish than Bobby Joe.
y = x - 17
Write an expression you can use to find out how many fish, f, each boy caught.
Substitute x - 17 for y in Equation 1
x + y = 51......... Equation 1
x + (x - 17) = 51
x + x - 17 = 51
2x = 51 - 17
2x = 34
x = 34/2
x = 17
Hence, Bobby Joe caught 17 fishes
x + y = 51
17 + y = 51
y = 51 - 17
y = 34
Hence, Billy ray caught 34 fishes
Please answer this question
Answers
Answer:
she is running at a constant speed
Step-by-step explanation:
the bar is still because she isnt going faster or slowing down she is constant
Answer:
D: She is at a constant speed.
Step-by-step explanation:
she is not acceleraring or decelerating, so her speed is constant