Answers
Answer:
[tex]Isosceles \ triangle \ two \ sides\ are \ equal \\\\(3\sqrt{2})^{2} = x^2 + x^2\\9 \times 2 = 2x^2\\x^2 = 9\\x = 3[/tex]
The value of x, length of base is B) 3.
The answer must be the length of the base of the triangle. Since the two other angles are equal, the triangle is an isosceles right triangle. This means that the two shorter sides of the triangle are congruent.
We can use the Pythagorean theorem to find the length of the base of the triangle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 3√2, so the square of the hypotenuse is 18. The other two sides of the triangle are congruent, so let the length of each side be x. The square of each side is x². Therefore, we can write the following equation:
18 = x² + x²
Solve for x:
2x² = 18
x² = 9
x = 3
Therefore, the length of the base of the triangle is 3. So the answer is B.
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Related Questions
Cody was selling drawings for $5 each. For every drawing he sold, he had to use $4 in art supplies to make them. How much profit would he make if he sold 8 drawings?
Answers
$8
step-by-step explanation:
8(5 - 4)
8(1)
8
5-4= $1 per drawing
1•8=$8
i will give brainiest if correct please hurry!!
You flip a coin 50 times and get 26 tails. What is the experimental probability of flipping heads? Write your answer as a simplified fraction or a percentage.
Answers
Answer:
12/25
Step-by-step explanation:
If you got 26 tails, that means you got 50 - 26 or 24 heads. The experimental probability can be represented by the desirable flips over the total number of flips. We are looking for heads, so the amount of heads is the amount of desirable flips, and the total is 50. From this, we get the fraction 24/50 which simplifies to 12/25.
A snail travels at an average speed of 0.1 feet per hour for 15 minutes.how many feet will the snail travel?
Answers
Answer:
0.025 feet
Step-by-step explanation:
speed: 0.1 feet per hour
time: 0.25 hours
distance= speed*time=0.1 * 0.25= 0.025
A standard NBA basketball has a radius of about 4.7 inches. What is the volume of an NBA basket ball? Use 3.14 for pi, and round your answer to the nearest tenth (one decimal place)
Answers
Answer:
V≈434.89cu. in.
https://socratic.org/answers/407738
Step-by-step explanation: MRK ME BRAINLIeST PLZZZzz
the link is not fake just copy and paste it
Answer:
434.9
Step-by-step explanation:
In Olympic platform diving, the athletes dive from a platform that is 42 feet above
the water. A diver leaves the platform with an initial vertical velocity of 4 feet per
second. How many seconds does it take for the diver to enters the water?
Answers
Answer:
10.5 I think
Step-by-step explanation:
the platform is 42ft so if you divide 42 by 4 you get 10.5
What are the possible measures of the triangles side? Select all that apply
Answers
Answer:
I believe the answer would be A and C
Step-by-step explanation:
Answer:
a,c and e
Step-by-step explanation:
What percent df 160 is 56? Use the percent bar model.
Answers
Answer:
35%
i think
Step-by-step explanation:
A right triangle has a side length of 5 feet and hypotenuse of StartRoot 61 EndRoot feet.
What is the length of the missing leg?
Answers
Answer:
Step-by-step explanation:
5²+b²=61
25+b²=61
25(-25)+b²=61(-25)
b²=36
√b²=√36
b=6
Hope this helps :)
Answer: The Answer is A, 6ft.
Step-by-step explanation: None needed, Hope that helped! ^^
Help please
33 ÷ 3 + 3(5^2 - 2 + 5)
Answers
Answer:
95
Step-by-step explanation:
Answer:
392
Step-by-step explanation:
5*2-2+5=28
33/3+3=14
28*14=392
What is the probability that Sarah will not select the queen of hearts?
Answers
Answer:
?
Step-by-step explanation:
Answer:
1/52
Step-by-step explanation:
There is only one queen of hearts in a deck of 52 so there for the prbability is 1/52.
If the measure of angle 5 is 57 degrees, what is the measure of angle 2?
Answers
Answer:
3
Step-by-step explanation:
Angle 1 is a supplement of angle 2, and m angle 1 is 123 degrees. Angle 2 is a complement of angle 3. Find m angle 3.
Find the value of x I don’t understand this
Answers
Answer:
101
Step-by-step explanation:
Pythagorean Theorem:
[tex]A^{2}[/tex] +[tex]B^{2}[/tex]=[tex]C^{2}[/tex]
PLEAS EHELP ME WITH THIS QUESTION IN THE NEXT MINUTE
Answers
Answer:
how many points
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
A) 16°
C) 65°
B) 23°
D) 18°
Answers
9514 1404 393
Answer:
C) 65°
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(?) = 25/59
? = arccos(25/59) ≈ 64.93°
The indicated angle is about 65°.
_____
You can see that the figure is drawn approximately to scale and that the angle is more than 45°. (The unmarked leg is longer than the given leg.) The only answer choice that is more than 45° is the one shown above.
What is the slope of a line perpendicular to the line whose equation is 3x-3y=543x−3y=54. Fully simplify your answer.
Answers
Kyle spends $44 for four sweatshirts.
Answers
Answer:
I think the answer is B. sorry if its wrong..
Step-by-step explanation:
Answer:
Bar C and the equation 4y = 44
Hope this helps!
Find x ba=5x -11
Ad = 6x -18
Answers
Answer:
x=7
Step-by-step explanation:
since its a square, all sides are the same so 5x-11 = 6x-18 and then solve it :)
Help please no links!! Step by step
Answers
9514 1404 393
Answer:
42.1 cm
Step-by-step explanation:
The long arc is 265°/360° = 53/72 of the circumference of the circle. Its length is ...
arc length = 53/72C = 53/72(2πr) = 53π/36(9.1 cm) ≈ 42.1 cm
the circumference of a circle is 25.12 meter. What is the diameter of this circle?
Use 3.14 for pi
Answers
We are looking for R first, so
=
——
2
r= 25.12
————
2(3.14)
r= 25.12
———-
6.28
r= 4
diameter= r(2)
4(2)= 8
THE DIAMETER OF THE CIRCLE IS 8
Answer:
Step-by-step explanation:
8 sqaure feet
PLZZ HELP ME WITHTHSI
Answers
Answer:
c. 492 cubic centimetres
Step-by-step explanation:
the equation for the volume of a rectangular prism is
V = Length × Width × Height
we also have to take into account that there are 2 rectangular prisms in that picture so we have to add the volumes of both of them.
for the one on the bottom, the volume would be
V = 9 × 6 × 8
V = 432 cubic centimetres
now we'll do the one on the top
V = 3 × 5 × 4
V = 60 cubic centimetres
now we'll add up both volumes to get a total amount.
432 + 60 = 492 cubic centimetres
can someone help me with this???
Answers
Answer:
it's 47 degree answer of your question
The first three terms of a sequence are given. Round to the nearest
thousandth (if necessary).
309, 303, 297, ...
Find the 33rd term.
Answers
Answer:
117
u welcome
Step-by-step explanation:
A semitruck and its load is measured to weigh 31 tons. A toll is assessed such that $0.01 is paid for every 10 pounds of weight.
What is the amount of the toll this truck should pay?
Answers
Answer:
i did the answer the person above me did and it was right
Step-by-step explanation:
The amount of toll fee for the truck is A = $ 62.00
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
First, we need to convert the weight of the semitruck and its load from tons to pounds:
31 tons = 31 x 2000 = 62,000 pounds
Let the number of 10-pound units in 62,000 pounds
62,000 / 10 = 6,200
On simplifying the equation , we get
Finally, we can calculate the toll by multiplying the number of 10-pound units by the rate of $0.01 per unit:
6,200 x $0.01 = $ 62.00
Hence , the amount of toll this truck should pay is $ 62.00
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Quadrilateral RUST has a vertex at R (1,5)What are the coordinates of R after the translation (x,y) (x+ 1, y - 2),followed by a dilation by a scale factor of 3, centered at the origin?
Answers
Answer:
C
Step-by-step explanation:
A P E X
(6, 9) is the coordinates of R after the translation (x,y) (x+ 1, y - 2),followed by a dilation by a scale factor of 3,
What is Graph?
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Quadrilateral RUST has a vertex at R (1,5)
We have to find the coordinates of R after the translation (x,y) of (x+ 1, y - 2)
(1, 5)-->(1+1, 5-2)
Coordinates after translation are (2, 3)
Now by a dilation by a scale factor of 3, centered at the origin
so R'(6, 9)
Hence, (6, 9) are the coordinates of R after the translation (x,y) (x+ 1, y - 2),followed by a dilation by a scale factor of 3,
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Hidden figures where did Katherine go everyday when she left her desk
Answers
Answer:
she went to the bathroom in another place because the bathroom there was no blacks in there
Step-by-step explanation:
Answer:
Katherine had to go to the restroom. However, the bathroom in the building she was in was whites-only she had to walk half a mile every day. Besides that, she would go home to her mother and kids.
Step-by-step explanation:
Have a good day! :)
P
289
670
R
Find the measure of P.
390
80°
ООО
85°
90°
Answers
Answer:
C, 85°
Step-by-step explanation:
180° = total angles for a triangle
First, add the known angles.
67 + 28 = 95
Then, subtract
180 - 95 = 85
To check your answer, add all the angles up to see if it equals 180°
67 + 28 + 85 = 180
Have a great day!
what is the least common multiple of the two denominators 32 18 8 12
Answers
eight times four is thirty two
Answer:
288
Step-by-step explanation:
32 = 2 × 2 × 2 × 2 × 2
8 = 2 × 2 × 2
18 = 2 × 3 × 3
12 = 2 × 2 × 3
LCM(32, 8, 18, 12)
= 2 × 2 × 2 × 2 × 2 × 3 × 3
= 288
If X = 8 yards. Y = 15 yards, and Z = 17 yards, what is the sine of Angle B
Answers
Answer:
sine B = 8/17
Step-by-step explanation:
Mathematically, the sine of an angle is the ratio of the opposite side to the hypotenuse side
The opposite side is the side that faces the angle
From what we have, the opposite side is of measure x
The hypotenuse is the side that faces the right angle
The hypotenuse here is z
So we have the value of sine B as x/z
This would give;
sine B = 8/17
solve for c.
4(3+c)+c=c+4
Answers
Answer:
c=-2
Step-by-step explanation:
4(3+c)+c=c+4
distribute the 4
12+4c+c=c+4
subtract c on both sides
12+4c=4
subtract 12 on both sides
4c=-8
c=-2
Step-by-step explanation:
subtract c and distribute
12 + 4 c = 4
4c = - 8
solve for c
6.
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher's hand at a velocity of 50 feet per second. If the softbal's acceleration is - 16
Ft/s2. This can be modeled with the equation (h=height, t=time) h(t)=16t^2 +50t+ 3
What is the time at which the softball would hit the ground it it were not hit or caught?
A.) .5 seconds
B.)3.12 seconds
c.) 3.18 seconds
D. ) 2.42
Answers
Answer:
Using their equation and the fact that the ball will fall 3 ft before reaching the ground:
3 = 16 t^2 + 50 t + 3 represents the given situation
16 t^2 + 50 t = t (16 t + 50) = 0
16 t + 50 = 0
t = 50 / 16 = 3.12 sec
