Answer:
obtuse
Step-by-step explanation:
a² + b² = c²
Let's use the two shorter sides as legs.
a² + b² = 31² + 54² = 961 + 2916 = 3877
c = √3877 = 62.2655...
For the triangle to be a right triangle, the third side would have to have a length of 62.2655. The actual length of the third side is 69. 69 is greater than 62.3, so the angle between the sides 31 and 54 must be greater than 90°. Therefore the triangle is an obtuse triangle.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x = 15 , y = 15√(2)
Step-by-step explanation:
The triangle is isosceles where two angles are the same which mean two sides are also the same.
x = 15°
Pythagorean Theorem: a^2 + b^2 = c^2
15^2 + x^2 = y^2
15^2 + 15^2 = y^2
225 + 225 = y^2
450 = y^2
y = √(450) = 15√(2)
Answer:
x=15 and y=15root2
Step-by-step explanation:
tan45=p/b
1=x/15
x=15
again for right angle trangle
h=root (p+b)
=15root2 ans
Out of the three answers, which one is correct?
I would also appreciate an explanation
Answer:
69
Step-by-step explanation:
All angles in a triangle = 180°
35 + x + (x+7) = 180
42 + 2x = 180
2x = 138
x = 69
Hope this helps!
Help guys I need this
Answer:
768 Square Inches
Step-by-step explanation:
10x18 = 180 (2 rectanlge faces)
12x8 = 96 (2 triangles)
12x18 = 216 (bottom face)
216 + 96(2) + 180(2) =
768
The length of a rectangle is equal to triple the width. Write a system of equations can be used to tind the dimensions of the rectangle if the perimeter is 98 centimeters?
Answer:
98 = 2w + 2L,
L = 3w
Step-by-step explanation:
Use the perimeter formula:
2) Perimeter = 2w + 2L (where w is the width and L is the length)
Since the length is three times the width we can write:
L = 3w
We can substitue L with 3w:
Perimeter is equal to 98 so,
98 = 2w + 6w = 8w
W = 98/8
Therefore w is 12.25, and L is 36.75
Factor 12r^2+70+72 completely
[tex]y = 14r^2 + 70r + 72\\\text{let}\ y = 0\\12r^2 + 70r + 72 = 0\\6r^2 + 35r + 36 = 0\\(2r + 9)(3r + 4)\\[/tex]
Express the interval in set-builder notation and graph the interval on a number line. [3, 6]
. Describe a set of transformations that would map the blue trapezoid ABCD onto the red trapezoid A’B’C’D’.
Answer:
1. Reflection across y=0
2. Shifted 6 units right
Answer:
Step-by-step explanation:
A translation of 6,-6 followed by a rotation of 180 degrees
In a batch of 860 calculators, 9 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
Answer:
Number of calculators n(C)=860
Number of defectives n(D)=9
The probability of a random number being defective=n(D)/n(C)
p=9/860.
converting this to a percentage gives us, 9/860×100%
=90/86
=45/43
=1.0465%
Therefore rounding this number to the nearest tenth gives us 1.0 % since the hundredth digit is 4 which is less than 5.
so, the probability of choosing a random defective calculator is 1.0%
Can y’all help me pls
Answer:
2. The change in expected height for every one additional centimeter of femur length.
Step-by-step explanation:
1. The expected height for someone with a femur length of 65 centimeters.
Doesn't make sense, that would be height value when centimeters = 65.
2. The change in expected height for every one additional centimeter of femur length.
Makes sense, for every increase in one additional centimeter, we can expect the height to be proportional to the slope.
3. The femur length for someone with an expected height of 2.5 centimeters.
Doesn't make sense, the linear relationship relies on the femur length to get the height.
4. The change in expected femur length for every one additional centimeter of height.
Doesn't make sense, again, the linear relationship relies on the femur length.
Please help me answer this. Solve for X
Answer:
x = 14,641
Step-by-step explanation:
[tex] \sqrt{x} = 121 \\squaring \: both \: sides \\ \implies \: {( \sqrt{x}) }^{2} = {(121)}^{2} \\ \\ \implies \: x = 14,641[/tex]
Find the average rate of change of each function on the interval specified.
i only need #5 thank you :)
The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by
[tex]f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}[/tex]
So for f(x) = x² on [1, 5], the AROC of f is
[tex]f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}[/tex]
Expand the following expression: 4 (2k + j)
Answer:
4(2k + j) = 8k + 4j
Step-by-step explanation:
4(2k + j)
Distribute in the 4.
4 * 2k + 4 * j
Multiply 4 and 2k.
8k + 4 * j
Multiply 4 and j.
8k + 4j
Answer:
[tex]\boxed{\sf{8k+4j}}[/tex]Step-by-step explanation:
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
4(2k+j)First, multiply by expand.
→ 4*2k=8k
→ 4*j=4j
Rewrite the problem down.
= 8k+4j
[tex]\Longrightarrow: \boxed{\sf{8k+4j}}[/tex]
Therefore, the correct answer is 8k+4j.I hope this helps! Let me know if you have any questions.
Question 3 of
What is the solution to the inequality?
17 < 9 + x
A. X8
B. X>8
C. x < 26
D. X > 26
Answer:
B
Step-by-step explanation:
17<9 + x
group like them
17-9 < x
the sign changes due to the negative
8>x
NO LINKS!! Please help me part 2
Answer:
UY = 20
WX = 15
VW = 15
Step-by-step explanation:
Given: UVWXY ~ HDEFG
From inspection of the diagram, the corresponding sides are:
UV~HD
VW~DE
WX~EF
XY~FG
UY~HG
The only pair of sides that both have side lengths are XY and FG. Therefore, we can use these to figure out the scale factor of dilation.
XY = 10 and FG = 20
⇒ FG/XY= 20/10 = 2
Therefore, HDEFG is an enlargement of UVWXY by a scale factor of 2
If HG = 40
⇒ UY = 40 ÷ 2 = 20
If EF = 30
⇒ WX = 30 ÷ 2 = 15
If DE = 30
⇒ VW = 30 ÷ 2 = 15
Answer:
UY = 20, WX = 15, VW = 15
Step-by-step explanation:
Step 1: Determine the scale
XY = 10 and FG = 20
[tex]10/20 = 0.5[/tex]
Step 2: Determine UY
We can determine UY by multipliying GF by 0.5 which will give us the upscaled ratio which will produce UY.
[tex]UY = GF * 0.5[/tex]
[tex]UY = 40 * 0.5[/tex]
[tex]UY = 20[/tex]
Step 3: Determine WX
We can determine WX by multipliying FE by 0.5 which will give us the upscaled ratio which will produce WX.
[tex]WX = FE * 0.5[/tex]
[tex]WX = 30 * 0.5[/tex]
[tex]WX = 15[/tex]
Step 4: Determine VW
We can determine VW by multipliying ED by 0.5 which will give us the upscaled ratio which will produce VW.
[tex]VW = ED * 0.5[/tex]
[tex]VW = 30 * 0.5[/tex]
[tex]VW = 15[/tex]
Answer: UY = 20, WX = 15, VW = 15
(45x + 52y) + (-5x + 40y)
A.50x + 92y
B.40x + 92y
C.40x + 12y
D.50x + 12y
Describe the set 3 ≤ x ≤ 10
using interval notation.
B. [3,10]
D. (3,10]
A. (3,10)
C. [3,10)
Answer:
The answer is B, [3,10].
Step-by-step explanation:
Infinitely Many Solutions
2x+9+3x+x
2x+9+3x+x=6x+9
⇒ INFINITE SOLUTUIONS
HELP MY SISTER NEEDS HELP....AGAIN-
Answer:
96
Step-by-step explanation:
First solve (10-7)
Then use 21 and ÷ it by 3
Add 89 + 7 and then you'll get your answer
What is the equation of the blue line
The Blue line is the translate in the direction of red line by,and therefore has equation y=3(x-4)+5
Differentiation in mathematics 2
Answer:
differentiation
Step-by-step explanation:
maths class
write in natural logarithmic form x=e^-4
Answer
-4=lnx
Step-by-step explanation:
So if you raise both side to the ln then the e's cancel out and you are left with lnx=-4
another way to think about it is this:
How many solutions are there to the equation below?
√√√x = 16
Ο Α. 0
OB. 2
C. 1
OD. 4
Answer:
C. 1
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\sqrt{\sqrt{\sqrt{x}}} = 16}[/tex]
The equation can be rewritten as:
[tex]\displaystyle \large{\sqrt[8]{x} = 16}[/tex] via surd property.
Since it’s an even surd, that means there only exists zero-positive numbers for value of x.
To solve this surd equation, simply clear out the surd by powering both sides by 8:
[tex]\displaystyle \large{\left(\sqrt[8]{x}\right )^8=(16)^8}[/tex]
Cancel the surd:
[tex]\displaystyle \large{x=16^8}[/tex]
Now, evaluating 16^8 will give up a million and that’s not necessary because we are finding how many solutions this equation has. Since theee only exists one value of x, which is the solution to this equation. Therefore:
Your answer is 1 solution
Lenny bought a motorcycle. He paid 12.5% in tax. The tax added $1437.50 to the price of the
motorcycle.
What was the price of the motorcycle, not including the tax?
Answer:
17963.13
Step-by-step explanation:
3. Which of the following is the surface area of this right triangular prism? (
4 in.
8 in.
5 in.
106 in?
108 in?
.
2111 in 2
160 in?
A right triangle is shown.
Enter the value of x.
ANSWE ASAPPP
A 14 ounce can of peaches cost $2.75 in a 24 ounce can of peaches cost $5.10 how much is the price per ounce of the 24 ounce can of peaches
If you roll a fair 6-sided die and then flip a fair coin, what is the probability that you roll greater than 1 and get heads with the coin?
Answer:
5/12
Step-by-step explanation:
The odds for the die are 5 positive out of 6 possible outcomes
-- 2,3,4,5,6 are the positive outcomes - the ones you want - but there are a total of 6 outcomes or ways the die could land
The odds for the coin are 1 positive outcome out of 2 possible outcomes (heads or tails)
Once you have 5/6 for the die and 1/2 for the coin, you multiply them together.
Need help with this question
Answer:
y=14,x=8
Step-by-step explanation:
We know that in congruent triangles, angle measures and side lengths are equal.
Therefore <b=<e and AB=DE
80=6y-4
84=6y
y=14
3x-y=10
3x-14=10
3x=24
x=8
The lateral surface area of cone A is exactly 1/2
the lateral surface area of
cylinder B.
true or false?
The lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.
What is lateral surface area?The lateral surface area of a figure is the area of the non-base faces only. The lateral surface of an object is all of the sides of the object, excluding its base and top.
For the given situation,
The diagram shows the cone A and the cylinder B.
Cone A has the radius r and the slant height as h.
Cylinder B has the radius r and the height as h.
The lateral surface area of cone is [tex]\pi rh[/tex]
The lateral surface area of cylinder is [tex]2\pi rh[/tex]
1/2 × lateral surface area of cylinder B,
⇒ [tex]\frac{1}{2} (2\pi rh)[/tex]
⇒ [tex]\pi rh[/tex] = lateral surface area of cone A.
Hence we can conclude that the lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.
Learn more about lateral surface area here
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the volume of this right trapezoidal prism is 380.25ft^3. what is the height ,x, of the prism? 5, 5, 8, 5.8, x.
Answer:
Hence, the height of the trapezoidal base is 7.2 ft.
Step-by-step explanation:
The height of the trapezoidal base is 7.2 ft.
Step-by-step explanation:
Consider the provided information.
The volume of trapezoidal prism is the area of the cross-section × the length.
Where B is the area of base, H is the length and V is the volume.
The length of the prism is 25.2ft and volume is 1279.152
Hence, the base area is 50.76 ft².
The base is trapezoid.
The area of trapezoid is
Substitute B=50.76, in above formula.
Hence, the height of the trapezoidal base is 7.2 ft.