Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
Answer:
Step-by-step explanation:
First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:
[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]
Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.
[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]
HOPE THIS HELPS :D
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.
We know that if two angles of any triangle are the same then their opposite sides are also the same.
Let each side length of x ft. Then by the Pythagoras theorem. we have
[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Helppppppppppppppppppppp I need this ASAP
The marked price of a woolen sweater is Rs 1750
. If the shopkeeper allows 20 %
discount and makes a profit of Rs 150, at what price did he purchase the sweater?
How do I factor . X2 { squared } -9x+28?
14
The points A, B and C lle on a straight line.
The length of AB is equal to the length of BC
What are the coordinates of point A?
*C(5,6)
*B12, 1)
Answer:
(-1,-4)
Step-by-step explanation:
First, you take the x coordinate of C and subtract it from the x coordinate of B. 5-2=3. You then take the 3 and subtract it from the x value of point B which is 2 and 2-3=-1 which gives us the x coordinate of point A -1. then you take the Y coordinate of C and subtract it from the Y coordinate of B. 6-1=5. You then take the 5 and subtract it from the y value of point B which is 1 and 1-5=-4 which gives us the y coordinate of point A -5. And that gives you (-1,-4)
x³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f
Answer:
[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]
18 ounces. of iced tea costs 2.99. How much will 30 ounces. cost
Answer:
About $4.98
Step-by-step explanation:
The cost of 30 ounces of iced tea will be $4.98.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
18 ounces. of iced tea costs 2.99. Then the ratio of cost to weight is calculated as,
⇒ $2.99 / 18
⇒ $0.166 per ounce
Then the cost of 30 will be calculated as,
⇒ $0.166 x 30
⇒ $4.98
The cost of 30 ounces of iced tea will be $4.98.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
Please 10 points for one question
Please don’t answer if you don’t know
Answer:
answer is 60° hope it will help you
What is the square of the sum of five and a number diminished by 6?
Step-by-step explanation:
A number diminished by 6:
n - 6Sum of 5 and a number diminished by 6:
5 + n - 6 = n - 1The square of the sum of five and a number diminished by 6:
(n - 1)² =n² - 2n + 1A recipe calls for 1/2 cup sugar and 1 cup flour. How much flour will you need if you use 3/4 cup of sugar?
Answer:
1 1/2 cups
Step-by-step explanation:
3/4 is 1 1/2 of 1/2, and 1 1/2 is 1/2 of 1
Answer:
1.5 cups of sugar
Step-by-step explanation:
3/4 divided by 1/2 is 1.5
Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid
for each job. Tim gets $12 for mowing lawns, $9 for washing cars, and $7 for walking dogs. Mr. Jeffries has not paid his bill in 3 weeks. If Tim performed each job for Mr. Jeffries
once, how much does Mr. Jeffries owe Tim? Write an addition equation using integers to represent the
situation. Represent Mr. Jeffries' balance as an integer.
Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
D ($28)
Step-by-step explanation:
-12 + -9 + -7 = -28
what is 4x(1+8x) Distributed
Answer:
4x + 32x²
Step-by-step explanation:
4x(1 + 8x) ← multiply each term in the parenthesis by 4x
= 4x + 32x²
Given that I = PTR/ 100 , make T the subject of the formula.
Step-by-step explanation:
I=PTR/100
cross multiply to get 100I= PTR
Put 100I/PR and PTR/PR
HENCE u get 100I/PR=T
THIS is because the PR cancelled from PRT to remain with T
what is the answer???????
Answer:
1) 1(1/32)
2) 1.8
Step-by-step explanation:
2(3/4)=11/4
2(2/3)= 8/3
(11/4)/(8/3)=33/32
33/32= 1(1/32)
1(4/5)=9/5
9/5=1.8
Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.
Answer:
slope= -¾
[tex]y - intercept = 2 \frac{1}{4} [/tex]
Step-by-step explanation:
3x +4y= 9
Let's rewrite the equation into the form of y= mx +b (known as slope-intercept form), where m is the slope and b is the y-intercept.
Keep the y term on the left-hand side of the equation and move all the other terms to the right-hand side.
4y= -3x +9
For the coefficient of y to be 1, divide both sides of the equation by 4.
[tex]y = - \frac{3}{4} x + \frac{9}{4} [/tex]
[tex]y = - \frac{3}{4} x + 2 \frac{1}{4} [/tex]
[tex]slope = - \frac{3}{4} [/tex]
[tex]y - intercept = 2 \frac{1}{4} [/tex]
Please help me with this homework
Answer:
C.
Step-by-step explanation:
Open circles mean < > not ≤ ≥. and the direction the line goes determines which symbol is used. the line goes up from -2 so its greater than -2 and down from 5 so less than 5
Please help this is my last points
Answer with explanation please
Please I need it now
Answer:
im going to guess cause i barely see 120
Step-by-step explanation:
Answer:
Three sets of supplementary angles
1 & 4 = 180º
2 & 5 = 180º
3 & 6 = 180º
Total = 540º
Sum of angles in triangle = 180º
Therefor sum of exteriort angles
540 - 180 = 360º
Sketch the graph of each line by identifying the x-and y-intercepts.
i will mark brainliest!!!!!!
Answer:
k=10x+6
Step-by-step explanation:
64 is equal to 2^6, so we just have 2^6*4^5k
4^5x is equal to 2^10x and we have 2^6*2^10x=2^k
Apply exponent multiplication rule : a^m*a^n=a^m+n
We get 2^10x+6, so 10x+6 is our answer
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
Answer:
percentage change divided by real value, *100.
421-376 = 45
45/421 = approx. 0.10688361
*100 = 10.6%
Step-by-step explanation:
HELP AWARDING BRAINLIEST
Answer:
Either 2.34 or 2.345
Step-by-step explanation:
Whats the value of 6 in 1.267
Answer:
hundredths place
Step-by-step explanation:
WILL GIVE BRAINLEST!!! A rational expression has been simplified below
(x-2)(x+6) X-2
7(x+6)
*=2
For what values of xare the two expressions equal?
Answer:
You're answer is B. All answers except -6
Step-by-step explanation:
did the test
216+5( 8+1/5) Please i need it asap ty!
Answer:
257
Step-by-step explanation:
216 + (5 x(8 + 1/5)
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
Answer:
x: (4, 0)y: (0, -2)Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:
-4x +0 = -16
x = -16/-4 = 4 . . . . the x-intercept
__
To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:
0 +8y = -16
y = -16/8 = -2 . . . . the y-intercept
__
The x- and y-intercepts are (4, 0) and (0, -2), respectively.
_____
Additional comment
The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.
dont know the answer pls help :(
Answer:
x=3
Step-by-step explanation:
7x-3=18
7x=18+3
7x=21
x=3
TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?
Answer: false.
Step-by-step explanation:
it's only a terminating decimal if you end up with a remainder of 0.
someone help me pls
i need it now
just simply choose the letter of the correct answer
Answer:
Step-by-step explanation:
1. D
2. A
3. A
4. B
5. B
dont know the rest sorry
One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase
What is the percent increase
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
38
21
21
X
What is the value of X
Answer:
80
Step-by-step explanation:
honestly it depends on the question but if it's addition, this is the answer
