Answers
Answer:
x = [tex]\sqrt{10}[/tex]
Step-by-step explanation:
The 2 right triangles and the outer right triangle are similar, then ratios of corresponding sides are equal, that is
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )
x² = 10 ( take the square root of both sides )
x = [tex]\sqrt{10}[/tex]
Answer:
√10
Step-by-step explanation:
taking the smallest triangle;
y as the hypotenuse, x as the adjacent side, 2 as the opposite side
then: y²=x²+2²
x²=y²-2²= y²-4
taking the other triangle;
z as the hypotenuse, x as the adjacent side, 5 as the opposite side
then: z²=x²+5²
x²=z²-5² = z²-25
take both equations,
x²= y²-4
x²= z²-25
y²-4= z²-25
y²= z²-25+4 = z²-21
taking the biggest triangle (whole triangle);
(5+2)= 7 as the hypotenuse, z as the adjacent side, y as the opposite side
then; 7²=z²+y²
z²+y²=7² =49
but y²= z²-21;
z²+y² =49
z²+ z²-21 =49
2z²-21=49
2z²=49+21= 70
z²= 70/2 = 35
take x²= z²-25
x²= 35-25 = 10
[tex]x = \sqrt{10} [/tex]
Related Questions
HELP ASAP
A number line can represent positions that are north and south of a truck stop on a highway. Decide whether you want positive positions to be north or south of the truck stop.
The truck stop
5 miles north of the truck stop
3.5 miles south of the truck stop
Answers
Answer:
The northern position would be positive while the southern position would be negative.
Step-by-step explanation:
Imagine 0 as the truck stop. North would be above the truck stop, while south would be below it.
On a number line, anything above 0 is a positive number. Anything below 0 is a negative number.
Therefore, the northern position would be positive while the southern position would be negative.
Which polygon appears to be regular?
Figure A
Figure B
Figure C
Figure D
Answers
Answer:
Figure B
Have a good day
8) determine the value again pls
Answers
Answer:
4
Step-by-step explanation:
-48/2 ÷ (-6)
-24 ÷ (-6)
4
15. Asriel thinks he has room for a 50 inch TV in his living room. It turns out
he only has room for a 40 inch TV. What is his percent error? *
10%
25%
20%
30%
Answers
Answer: 10%
Step-by-step explanation: because if you subtract 50-40 you get 10 and then you just add the % sign and you can cross out d and b.
hope this helps you
Answer:
20%
Step-by-step explanation:
Since, 40/50 is equal to 80/100 we can tell that the 2 are 80% close to eachother, but there is 20% difference!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What is the value of 6x90.6
Answers
Answer:
543.6
Step-by-step explanation:
answer is 543.6 :)
calculate the value of b + 12.5=12
Answers
Answer:
[tex]\large\boxed{b = -0.5}[/tex]
Step-by-step explanation:
Hope this helps, have a great day
Answer:
Move all terms not containing b to the right side of the equation.
b = − 0.5
Step-by-step explanation:
please help me I'm confused
Answers
Answer: The correct answer is 8^2 or 64
Step-by-step explanation: Can I please get the brainliest answer.
Answer:
8²
Step-by-step explanation:
When we divide numbers with exponents that have the same bases, we can just subtract the exponents. So, 8^9/8^7 equals 8^(9-7) = 8^2 (Which equals 64, but it isn't a power).
JoAnn paid $3.80 for each book at a book sale.
How much did she spend if she bought 9 books?
Answers
Answer:
$34.20
Step-by-step explanation:
total spent =3.80*9=$34.20
!!!PLEASE HELP WILL GIVE BRAINLIEST EASY!!!
17 squared is between which of the following pairs
a. 4 and 5
b.16 and 18
c.288 and 290
d. i dont know
and d is actually a answer i dont know why
Answers
NUMBER: 17 SQUARE: 289 SQUARE ROOT: 4.123
Hope this helps a little.
Answer:
a. 4 and 5
Step-by-step explanation:
We are given 17 squared, and are asked on whether which of it is between the following pairs.
Squaring a number always gives it a smaller number since you are trying to find a number times itself to make the number in the square root.
Therefore by this knowledge, a. would be the most reasonable answer, since 17 is quite a small number, squaring it will equal something smaller.
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answers
Answer:
the answer is 5 3/8
Step-by-step explanation:
the common denoiminator of 4 and 8 is 8 so you multiply 3 by 2 like you did 4 to get 8 and you multiply 5 by 1 like you did 5 to get 5 and you add it all together
WILL GIVE BRAINIEST!!!!!
Answers
Answer:
x=2
Step-by-step explanation:
Please help ASAP!!!!
Answers
Answer:
130°
Step-by-step explanation:
∠JDG and ∠EDF are opposite angles. The measures of arcs for opposite angles always add up to 180°. Since the arc for ∠JDG is 50°, the arc for ∠EDF has to be 130°, because 50 + 130 = 180.
A triangle has one side of length 4 and another of length 9. Which of the following are possible lengths of the third side?
Please help me
Answers
What is the equation of the line that passes through the point (4, 4) and has a slope
of 3?
Answers
Answer:
y = 3x - 8
Step-by-step explanation:
Let me know if I am wrong.
Answer:
y=3x-8
Step-by-step explanation:
3x - 4 1/2 = -19 1/2
Answers
3x= -39/2 + 9/2
3x= -30/2
3x= -15
x= -15/3
x=-5
If 9 garden hoses cost $196.83 and the price of each hose is the same how much does each hose cost?
Answers
Answer:21.87
Step-by-step explanation:
196.83 divided by 9
Answer:
They each cost $21.87
Step-by-step explanation:
If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.
Hockey teams are often confronted with the dilemma of whether or not to pull a goalie at the end of the game when they are down a goal or two. One analyst reports that in 40% of those games in which a goalie was pulled a goal was scored with one empty net, and of those goals scored 25% were scored by the team that pulled the goaltender. Given that the goalie has been pulled by a team, what is the probability that team will score a goal?
Answers
Answer:
Step-by-step explanation:
so 30% of the total number of goals shot is 5
30% of what number is 5....turn ur percent to a decimal..." of " is multiply
let the number of shots represent x
0.30x = 5...divide borh sides by 0.30
x = 5/0.30
x = 16.66 shots
Stacy reasons that since dilations change lengths they also change angles by the same factor. Is she correct? If not, explain why, I will list brainlist if you reply fast
Answers
Answer:
Stacy is incorrect. Dilations do not affect the angles of a given figure since dilations create parallel lines and the angles on parallel lines are congruent.
Step-by-step explanation:
just took the quiz :)
How do you write 927,000 in scientific form
Answers
r + 4s = -8
3r + 2s = 6
Answers
Answer:
R = 4
s = -3
Step-by-step explanation:
r + 4s = -8
3r + 2s = 6
there are several ways to solve this system but i chose the elimination method and multiplied the second equation by -2 to get:
-6r - 4s = -12 and added it to the first equation
+ 1r + 4s = -8
-5r = -20
r = 4
plug in to find 's': 4 + 4s = -8
4s = -12
s = -3
3. The point P(3,5) is rotated 90° clockwise
about the origin. What are the coordinates of
P'?
A. P'(-3,-5)
B. P’(5,-3)
C. P'(-5,3)
D. P'(5, 3)
Please :)
Answers
Answer:
New coordinates of P' are: P'(5, -3)
Hence, option B i.e. P'(5,-3) is correct.
Step-by-step explanation:
When a point A(x, y) is rotated 90° clockwise around the origin, we flip x and y and reverse the sign of x.
Thus,
The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:
A(x, y) → A'(y, -x)
In our case, the point P(3, 5) is rotated 90° clockwise about the origin. Thus, the coordinates of P' will be:
A(x, y) → A'(y, -x)
P(3, 5) → P'(5, -3)
Therefore, coordinates of P' are: P'(5, -3)
Hence, option B i.e. P'(5,-3) is correct.
3sin60°+xcos30°.tan45°=xcot30°
Answers
Answer:
x = (6[tex]\sqrt{2}[/tex])/(4[tex]\sqrt{2}[/tex] -3)
Step-by-step explanation:
sin60 degree = [tex]\sqrt{3}[/tex] /2
cos30 degree = 1/2
tan 45 degree = sin45 degree / cos45 degree = ([tex]\sqrt{2}[/tex]/2)/([tex]\sqrt{2}[/tex] /2) = 1
cot 30 degree = cos30 / sin30 = ([tex]\sqrt{3}[/tex] /2)/(1/2) = [tex]\sqrt{3}[/tex]
so, let us plug the above values in the given eqution and solve for x
3([tex]\sqrt{3}[/tex] /2 ) + x(1/2) *1 = x([tex]\sqrt{3}[/tex])
3([tex]\sqrt{3}[/tex] /2 ) = x([tex]\sqrt{3}[/tex]) -x(1/2)
3([tex]\sqrt{3}[/tex] /2 ) = x(([tex]\sqrt{3}[/tex])-(1/2)) (by taking x as a common factor)
3([tex]\sqrt{3}[/tex] /2 ) = x(((2[tex]\sqrt{3}[/tex])-(1))/2)) (making the same common denominator
now devide both sides by (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] /2 ) / (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] ) / ((2[tex]\sqrt{3}[/tex])-(1))
Can someone please answer this please
Answers
E) (-5,0)
F) (-2,2)
can someone help me with finding the slope of the graph- ONLY GRAPH
Answers
Answer:
m = - 2
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
7. (07.03) An equation is shown below: 4(2x - 5) + 15 = 11 Write the steps you will use to solve the equation and explain each step. (5 points)
Answers
Answer:
x = 2
Step-by-step explanation:
[tex]4(2x-5)+15 = 11 => 4(2x-5) = 11 - 15 => 4(2x-5) = -4 => 2x-5 = \frac{-4}{4} => 2x-5 = -1 => 2x = -1 + 5 => 2x = 4 => x = 2[/tex]
The value of x is 2 for equation 4(2x - 5) + 15 = 11
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 4(2x - 5) + 15 = 11
Four times of two x minus five plus fifteen equal to eleven
4(2x - 5) + 15 = 11
Apply distributive property on the LHS
8x-20+15=11
8x-5=11
Add 5 on both sides
8x=16
Divide both sides by 8
x=2
Hence, the value of x is 2 for equation 4(2x - 5) + 15 = 11
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
A designer lamp costs £475
It is reduced by 30% in a sale
How much does the lamp now cost?
Answers
Answer:
$332.50 is the new discounted price
Step-by-step explanation:
30% of 475
30/100 x $475. 00
= $142.50
$475.00-$142.50=$332.50
and thats the answer
In a lilac paint mixture, 40$ of the mixture is white paint, 205 is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint. If you get stuck, consider using a tape diagram.
Answers
Answer:
White paint is 8
Blue paint is 4
Red paint is 12
The recipe will yield 24 cups of lilac paint if you are talking about the problem i had earlier on my math homework
(8x + 9) + (–6x – 1)
Answers
Answer:
5
Step-by-step explanation:
Simplifying
(8x + 9) + -1(6x + -1) = 0
Reorder the terms:
(9 + 8x) + -1(6x + -1) = 0
Remove parenthesis around (9 + 8x)
9 + 8x + -1(6x + -1) = 0
Reorder the terms:
9 + 8x + -1(-1 + 6x) = 0
9 + 8x + (-1 * -1 + 6x * -1) = 0
9 + 8x + (1 + -6x) = 0
Reorder the terms:
9 + 1 + 8x + -6x = 0
Combine like terms: 9 + 1 = 10
10 + 8x + -6x = 0
Combine like terms: 8x + -6x = 2x
10 + 2x = 0
Solving
10 + 2x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 2x = 0 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = 0 + -10
2x = 0 + -10
Combine like terms: 0 + -10 = -10
2x = -10
Divide each side by '2'.
x = -5
Simplifying
x = -5
made by TheRealMarinette
Twelve pounds of beans are distributed equally into 9 bags to give out at the food bank.
How many pounds of beans are in each bag?
Enter your answer in the simplest form.
There are pounds of beans in each bag.
Answers
Answer:
1.33 or 1 1/3 pounds
Step-by-step explanation:
12 ÷ 9 = 1.33
what's 200 - 400 fast...
Answers
Answer:
-200
Step-by-step explanation:
Answer:
-200
Step-by-step explanation:
200 - 400 = -200