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
Tony wants to purchase a football for $44. He has a coupon for 30% off. Which is the price of the football
with the coupon?
Answers
Answer:
$32.02
just find 30% of 44
Use your calculator to find the value of the trigonometric ratio rounded to 4 decimal places.
COS 47 =
Answers
Answer:
0.6820
Step-by-step explanation:
Given data
Angle= 47°
Hence we want to find
cos 47°
From calculator
cos 47°=0.681998
to 4 dp
0.6820
Answer: 0.6820
Step-by-step explanation: I did the quiz
State the x- and y-intercepts of each equation
12x + 9y = 15
Answers
The x intercept : (5/4,0)
The y intercept : (0,5/3)
I hope this helps, have a great day!
HELP ASAP!
Show me how to find x using the correct equation shown here (geometry)
Answers
Answer:
x = 13
Step-by-step explanation:
The 2 angles same- side interior angles and sum to 180°
Then the equation to use to find x is
12x - 29 + 4x + 1 = 180
16x - 28 = 180 ( add 28 to both sides )
16x = 208 ( divide both sides by 16 )
x = 13
Answer:
13
Step-by-step explanation:
Angles ( 12x - 29 ) and ( 4x + 1 ) are co - interior angles.
Sum of co - interior angles are supplementary.
12x - 29 + 4x + 1 = 180
12x + 4x - 29 + 1 = 180
16x - 28 = 180
16x = 180 + 28
16x = 208
x = 208 / 16
x = 13
Liam bought a sandwich for $4.75, a bag of chips for $2.30, and a drink for $1.15. The tax was $0.65. He gave the cashier $10.00. How much change should Liam have receive
Answers
$1.15
step-by-step explanation:
4.75 + 2.30 + 1.15 + 0.65
8.85
10.00 - 8.85
1.15
can i please have help i dont know the answer to this one
Answers
Answer:
B
Step-by-step explanation:
Will give brainliest
Answers
Answer:
70
Step-by-step explanation:
the width is 10 and the length is 7
You roll a six-sided die twice. What is the probability of landing
on a four then landing on a six? Record answer as a fraction in
simplest form.
1/2
1/6
1/12
1/36
1/4
Answers
What is the length of a diagonal of the field??
Answers
Answer:
A I think because length is the bottom of the triangle
Answer:
200 ft
Step-by-step explanation:
Pythagorean Theorem states:
A² + B² = C²
120² + 160² = C²
14400 + 25600 = C²
40,000 = C²
[tex]\sqrt{40,000}[/tex] = C
200 = C
Hope this helps!
Can someone plz help me with this one problem plz!!!
I’m marking brainliest!!
Answers
This is how I did it below
What is the volume of the following rectangular prism?
2 units
3
units?
100
Volume =
units
Report a prob
Answers
Answer:
1,000000
Step-by-step explanation:
units hope this helped
sorry i just need points
Answer:
600
Step-by-step explanation:
so the dimensions: 2 , 3 and 100?
pls Correct me if wrong
2x3x100
= 600
Please help me with this homework show me how you get it and the answer
Answers
Answer:
25.12 in³
Step-by-step explanation:
v = (1/3)πr²h
Plug in the givens
v = (1/3)(3.14)(4/2)²(6)
v = (1/3)(3.14)(4)(6)
v = 25.12
Rocco has a weekly reading schedule, reading for 4.5 hours per day on some days and 3.5 hours per day on the other days. He reads a total of 25.5 hours in a seven-day week. On how many days does he read for 4.5 hours?
Answers
Answer:
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
Step-by-step explanation:
Let
x = days he reads for 4.5 hours
y = days he reads for 3.5 hours
x + y = 7 (1)
4.5x + 3.5y = 25.5 (2)
From (1)
x = 7 - y
Substitute x = 7 - y into (2)
4.5x + 3.5y = 25.5 (2)
4.5(7 - y) + 3.5y = 25.5
31.5 - 4.5y + 3.5y = 25.5
- 4.5y + 3.5y = 25.5 - 31.5
-y = -6
y = 6
Substitute y = 6 into (1)
x + y = 7 (1)
x + 6 = 7
x = 7 - 6
x = 1
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
8/2(2+2) I already know the answer, I just wanna know whether people think it's 16 or 1
Answers
Answer:
I think its 16
Step-by-step explanation:
Answer:
[tex] \frac{8}{2} (2 + 2) = 16[/tex]
The factors of the quadratic function g(x) are (5x-1) and (x+4). What are the solutions to the equation g(x)=0?
due tmr pls help!
Answers
Given:
The factors of the quadratic function g(x) are (5x-1) and (x+4).
To find:
The solutions to the equation g(x)=0.
Solution:
If the factors of the quadratic function g(x) are (5x-1) and (x+4), then the function is defined as:
[tex]g(x)=(5x-1)(x+4)[/tex]
We need to find the solutions to the equation g(x)=0. So,
[tex]g(x)=0[/tex]
[tex](5x-1)(x+4)=0[/tex]
Using zero product property, we get
[tex]5x-1=0[/tex] and [tex]x+4=0[/tex]
[tex]x=\dfrac{1}{5}[/tex] and [tex]x=-4[/tex]
Therefore, the solutions to the equation g(x)=0 are [tex]x=\dfrac{1}{5}[/tex] and [tex]x=-4[/tex].
find the value of 32½
Answers
Answer:
65 will be the correct answer
Step-by-step explanation:
32 1/2 may be a percentage. as such it is equivalent to 32.5 % or. 0.325.
32.5 % of 10 would be 3.25.
One bag of pretzels cost three dollars. Five bags of pretzels cost $10. Which has the lower unit price?
Answers
Answer:
The 5 for $10 because its 2 dollars for a bag while the first is 3 dollars for a bag
Step-by-step explanation:
Answer:
I'm guessing the five for $10. If you were to by 5 for $3 it would be more than the five for $10. If there are 5 bags for $10 I'm assuming each bag is $2 which is lower than $3.
Step-by-step explanation:
Please help! For math.
Answers
Answer:
No
Step-by-step explanation:
20 x 30 x 8 = 4800 = FIRST CONTAINER
12 x 12 = 144
12x8=96/2=48
144 + 48=192 x 25 =4800 = SECOND CONTAINER
Sid has a bag with 10 pink thimbles and 20 silver thimbles. If he draws a thimble from the bag without looking, what is the probability that will be a pink thimble?
Answers
Answer:
50%
Step-by-step explanation:
10/20
1/2
50%
Is the triangle a right triangle? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
A right traingle will have a 90° angle in between the legs.
---------------------------------------------------------------------------------------------------------------
Have a good day :)
Answer:
Yes
Step-by-step explanation:
Because the angle in the bottom left corner is a 90 degree angle!
Type the correct answer in each box.
Consider circle O, where mBD =70° and mCA = 170°
m∠BPD: ____°.
mBC + mAD = ____°.
Answers
Answer:
m∠BPD: 120°
mBC + mAD =120°
Step-by-step explanation:
A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
Given:
mBD =70°
mCA = 170°
So,
m∠BPD= 1/2( (m∠BD + m∠CA))
=1/2(170+70)
=1/2*240
=120
and,
mBC + mAD = 360 - ( 70 + 170 )
= 360 - 240
mBC + mAD = 120°
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Hi! I need help in this question, its solving for x, which should be easy.
Answers
Answer:
16.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.
cross multiply
5x=42×2=84
x=84÷5=16.8
2.
[tex]\frac{\frac{10}{27} }{\frac{5}{9} } =\frac{10}{27} \div\frac{5}{9} \\=\frac{10}{27} \times \frac{9}{5} \\=\frac{2}{3}[/tex]
Solve each of the unknowns in the equation below:
x - 76 = 102
A-36
B-178
C-34
D-26
Answers
Answer:
B. 178
Step-by-step explanation:
x - 76 = 102
x - 76 + 76 = 102 + 76
x = 178
Answer:
[tex]x = 178[/tex]
Step-by-step explanation:
Rearrange unknown terms to the left side of the equation: [tex]x = 102 + 76[/tex]
Calculate the sum or difference: [tex]x = 178[/tex]
Answer: [tex]x = 178[/tex]
make y the subject please help
Answers
Step-by-step explanation:
Square both sides and you will get
3xy/(x + y) = 4
Multiplying both by (x + y), we get
3xy = 4(x + y) = 4x + 4y
Put all the terms containing y to the left side:
3xy - 4y = 4x
y(3x - 4) = 4x
or y = 4x/(3x - 4)
A quadratic relation has zeros at 3 and –5. The parabola goes through the point (2, –14). What is the equation of the parabola in standard form?
Answers
Answer:
[tex] \displaystyle 2 {x}^{2} + 4x - 30 = 0[/tex]
Step-by-step explanation:
we are given the zeros and a point where it goes through of a quadratic equation
remember that when the roots are given then the function should be
[tex] \displaystyle \: y = a(x - x_{1})(x - x_{2}) [/tex]
where a is the leading coefficient and x1 and x2 are the roots
substitute:
[tex] \displaystyle y = a(x - (3))(x - ( - 5)) [/tex]
simplify:
[tex] \displaystyle y = a(x - 3)(x + 5) [/tex]
now the given point tells us that when x is 2 y is -14 therefore by using the point we can figure out a
substitute:
[tex] \displaystyle a(2 - 3)(2 + 5) = - 14[/tex]
simplify parentheses:
[tex] \displaystyle a( - 1)(7) = - 14[/tex]
simplify multiplication:
[tex] \displaystyle - 7a = - 14[/tex]
divide both sides by -7:
[tex] \displaystyle a = 2[/tex]
altogether substitute:
[tex] \displaystyle y = 2(x - 3)(x + 5) [/tex]
since it want the equation y should be
[tex] \displaystyle 2(x - 3)(x + 5) = 0[/tex]
recall quadratic equation standard form:
[tex] \displaystyle {ax}^{2} + bx + c = 0[/tex]
so simplify parentheses:
[tex] \displaystyle 2( {x}^{2} + 2x - 15 ) = 0[/tex]
distribute:
[tex] \displaystyle 2 {x}^{2} + 4x - 30 = 0[/tex]
hence,
the equation of the parabola in standard form is 2x²+4x-30=0
In a hurry
A wire is suspended between two poles. Function f, defined by the given table, represents the elevation, in feet, of a wire at a point x feet from the first pole. x 0 2 4 6 8 10 12 14 16 f(x) 28 26.25 25 24.25 24 24.25 25 26.25 28 Which statement is supported by the table? A. The two poles are 8 feet apart. B. At its lowest point, the wire is 24 feet above the ground. C. At its lowest point, the wire is 8 feet above the ground. D. The two poles are 24 feet apart.
Answers
Answer:
B. At its lowest point, the wire is 24 feet above the ground
Step-by-step explanation:
PLEASE HELP URGENT This Stem-and-Leaf Plot shows the number of books sold daily by a bookstore in the previous month. What is the mode of the data set? 90 POINTS
A. 45 books
B. 13 books
C. 21 books
D. 53 books
Answers
Answer:
45
Step-by-step explanation:
Im not good with explaining
Answer:
c 21
Step-by-step explanation:
Suppose a triangle has two sides of length 32 and 35, and that the angle
between these two sides is 120°. Which equation should you solve to find the length of the third side of the triangle?
Answers
Answer:
It is actually C, just took it and D was wrong
Step-by-step explanation:
I need help quick. I will mark as brainliest.
Answers
Answer:
The slope is -5x
Step-by-step explanation:
To find the slope, you do rise/run. So to get from one point to the other, you would move 5 units down, and 1 unit to the right.
It can be written as -5/1 or -5.
Hope this helps!
EASY MATH PLEASE HELP! :)
I WILL GIVE BRAINLIEST!
QUESTION: Find the area.
Hint: the answer is not 14.
Answers
3x4=13
The area of the triangle is 4
The total area will be 13+4=17