Answer:
tha nks
Step-by-step explanation:
Katherine wants to use a sheet of fiberboard 18 inches long to create a skateboard ramp with a 17
∘
∘
angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
The rise from the ground by the skateboard is 5.5 inches
How to determine the height above the ground?The length of the skateboard is given as:
Length (l) = 18 inches
The angle of elevation (x) is
x = 17∘
Represent the height with h.
The value of h is calculated using the following tangent ratio:
tan(x) = h/l
Make h the subject
h = l * tan(x)
Substitute known values
h = 18 * tan(17)
Evaluate
h = 5.5
Hence, the rise from the ground by the skateboard is 5.5 inches
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Answer: 5.3
Step-by-step explanation:
SOH-CAH-TOAsin 17=oppositehypotenuse=x18sin 17=hypotenuseopposite=18xsin 17=sin 17= x1818xsin 171=1sin 17= x1818x18 sin 17=18 sin 17= xxx=5.262690...≈5.3x=5.262690...≈5.3
Write the following phrase as an algebraic expression. Use x for the unknown number.
The sum of -8 and four times a number.
Work Shown:
x = unknown number
4x = four times the unknown number
-8+4x = sum of -8 and the previous expression
-8+4x is the same as 4x+(-8) or 4x-8
The perimeter of this square is 24x – 20. Which expression represents the length of a side?
6x – 5
12x – 5
4x – 4
Answer:
6x-5
Step-by-step explanation:
We have to find 2 sides added together, so we do (24x-20)/2=12x-10. (12x-10)/2=6x-5, so it is 6x-5.
The point at which three or more lines intersect is the point of _____ concurrency. concurrency. tangency. equality. parallelism.
The point at which three or more lines intersect is the point of concurrency.
What is the point where three line intersect?The point were three lines meet or intersect is a point of concurrency.
In other words, a point of concurrency is where three or more lines intersect in one place.
This point of concurrency is a single point shared by three or more lines.
Perpendicular bisectors, and altitudes are concurrent in every triangle.
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Answer:
concurrency
Step-by-step explanation:
Look above for more
Lin surveyed a class of sixth-graders asking how many hours they spend online every month.
They spend about three hours a day online
i needs help please
Answer:
Step-by-step explanation:
Which of these need to be purchased in addition to renter's insurance? Select all that apply.
-Earthquake insurance
-fire insurance
-flood insurance
-Lightning insurance
-tornado insurance
The following needs to be purchased in addition to renter's insurance;
Earthquake insuranceflood insurancetornado insurance What is renters insurance?Renter’s insurance is a policy which covers the loss of people renting or subletting a property. It helps to protect against loss of properties within the insured apartment.
Here are some problems covered by renters insurance:
FireTheftVolcanic EruptionRiotsExplosion.Learn more about insurance:
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What is 3.9443.9443, point, 944 rounded to the nearest hundredth?
Answer:
3.94
Step-by-step explanation:
3.944 rounded to nearest hundredth = 3.94 becuase the thousandth digit is <5 you do not change the hundredth
7 x 3 1/4 = in fraction
Answer:
22 3/4
Step-by-step explanation:
divide 1/4 which is 0.25, then add 3 to that, then multiply it by 7 which is 22.75
then convert it back into a fraction which is 22 3/4
A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?
10
20
40
50
Answer:
20
Step-by-step explanation:
Answer:
the one above me is WRONG, its 40 i swear i just did the unit test
Step-by-step explanation:
Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial −16t2 + vt + h. Find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
Answer:
57 f
Step-by-step explanation:
-16t² + vt + h
-16(4 s)² + (72 f/s)(4 s) + (25 f)
-256 + 288 + 25 = 57
a flower garden is in the shape of a circle. The circumfrence of the garden is 20 meters. What is the area of the garden? use 3.14 for pie and round your answer to the nearest whole number
Answer:
32m²
Step-by-step explanation:
r=
[tex] \frac{c}{2\pi } [/tex]
r=20/(2×3.14)= 3.18m
A=pi r² = 3.14x3. 18² = 32m²
What is the degree of the polynomial 6x^2+x^9+5x^7+20x^6
The degree of a polynomial is the highest exponent of the algebraic expression.
[tex]6 {x}^{2} \: + \: {x}^{ \boxed{ \bold{9}}} \: + \: 5 {x}^{7} \: + \: 20 {x}^{6} [/tex]
R// The degree of the polynomial is 9MissSpanishSue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write the expression for the number of sweets Sue and Tony now have
Answer:
Sue : 13 - x Tony : x/2 + 9Step-by-step explanation:
Sue Tony_________________________________________________
initial number of sweets | 18 | 18
| |
Sue gives Tony x sweets | 18 - x | 18 + x
| |
Sue ,eats 5 of her sweets. and | 18 - x - 5 = | (18 + x)/2 =
Tony ,eats half of his sweets | 13 - x | 9 + x/2
What are the solutions for the following system of equations?
3x² + 4y - 21
4x² + y = 10
(1,6) and (0, 10)
(-1,6) and (1. 6)
(1,6) and (3, 12) G1
(-1, 6) and (3. 12)
We will use graphical way to solve these
3x²+4y-21=04x²+y=10Graph both
The solutions are
(±1.209,4.154)None of the above
( -16 + 12 ) ÷ ( -4 + 2 ) = What is the Answer
2. Given the following angle measurements for a triangle, find the remaining angle.
a. 53, 69
b. 105, 47
c. 90, 25
Given that the quadrilateral is a parallelogram, find the values of x, y and z.
Answer:
x=9
y=4
z=4
Step-by-step explanation:
9x-13=7x+5
9x-7x=5+13
2x=18
x=18/2=9
3y=12
y=12/3=4
11z-41=5z-17
11z-5z=-17+41
6z=24
z=24/6=4
Need help with this fast
Answer:
C
Step-by-step explanation:
Formula for the volume of a cone :
Volume (cone) = 1/3πr²h
===========================================================
Given :
⇒ r = 4 units
⇒ h = 21 units
============================================================
Solving :
⇒ Volume (cone) = 1/3 × π × (4)² × 21
⇒ Volume (cone) = 16 × 7 × π
⇒ Volume (cone) = 112π units²
Answer:
[tex]\sf C. \quad 112 \pi \:units^2[/tex]
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
radius = 4 unitsheight = 21 unitsSubstituting the given values into the formula:
[tex]\implies \sf Volume=\dfrac{1}{3} \cdot \pi \cdot 4^2 \cdot 21[/tex]
[tex]\implies \sf Volume=112 \pi \:units^2[/tex]
Select the correct answer.
An airline operates in only 10 destinations in 2015, but plan on adding more destinations each year. In 2016, the number of destinations will be
twice the initial number of destinations. Then, in 2017, the number of destinations will be twice the number of destinations the previous year. If
this pattern continues, which of the following graphs represents the number of destinations in which the airline will operate over time?
Answer:
would need to see the graph
Step-by-step explanation:
see answer advice
SOMEBODY PLEASE JUST HELP ME I DON'T KNOW
Answer:
Step-by-step explanation:
B is at (-3,-2) Multiply by 3: (-9,-6)
O is at (2,-1) Multiply by 3: (6,-3)
T is at (-3,3) Multiply by 3: (-9,9)
Hope this helps!!
Which is the graph of 5 log (x + 3)?
Graph is in attached image.
if x=2, and y=-3, then xy^2 =
Answer:
36
Step-by-step explanation:
If x = 2 and y = -3...
xy^2=
(2)(-3)^2 =
-6^2 =
36
XY times 2=
(-6)(2) =
-12
Answer:
18
Step-by-step explanation:
First you must fill input the values into their variable counterparts:
xy^2 turns into: 2 * -3 ^2
Since there isn't a parenthesis around x AND y, the exponent only applies to the y value.
-3 ^2 = 9, so 2 x 9 = 18
xy^2 = 18 if x =2 and y = -3
Find out the sum by suitable arrangement.
1 + 2 + 3 + 4 + 5 + 95 + 96 + 97 + 98 + 99
1 + 2 + 3 + 4 + 5 + 95 + 96 + 97 + 98 + 99. = 500
Answer:
500
Step-by-step explanation:
rearrange the sum as
(99 + 1) + (98 + 2) + (97 + 3) + (96 + 4) + (95 + 5)
= 100 + 100 + 100 + 1000 + 100
= 5 × 100
= 500
the sum of 6 and the product of 8 and x
Answer:
6+8x
Step-by-step explanation:
What is true about AngleQRT? Select two options.
Measure of angleQRT = 90°
Measure of angleQRT = Measure of angleSRT
AngleQRT Is-congruent-to AngleSTQ
Measure of angleQRT = 2*Measure of angleRTQ
AngleQRT Is-congruent-to AngleRTQ
The complete question is
"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?
Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"
The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Given information;
The triangle QST is isosceles with QT ≅ ST.
The ∠STR and ∠RTQ are congruent.
Now, consider two triangles ∠QTR and ∠STR
In the following triangle
TR ≅ TR
QTR ≅ STR
QT ≅ ST
Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,
1. QR ≅ SR
2. QRT ≅ SRT
Since the above two angles are congruent so, they will have the same measure
That will be 90 degree.
Hence, The correct options are; ∠QRT = 90 and ∠QRT = ∠SRT
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In an urn there are 6 red balls, 4
blue balls and 10 yellow balls.
What is the probability of
choosing a yellow ball?
Answer:
1/2 / 50% chance
Step-by-step explanation:
There are 10 yellow out of 20 (6 + 4 + 10 = 20) balls.
So, the probability is 10 / 20
Or, 1 / 2 (which is the same thing as 50% chance)
(chance = probability)
y= -x - 8x - 16 how many solutions
Answer:
1 solution
Key:
Assume x is the the range x > 0 ≥ 1, in other words, assume x is equal to 1.
Step-by-step explanation:
[tex]y = -x - 8x - 16\\= -x - 8x\\= 9x\\= 9x - 16[/tex]
Solve for N:
A_-21
B_21
C_-96
D_96
Step-by-step explanation:
n + 5 = -16
n = -21
The correct option is -21
Please show your work! I'll give brainliest as well, thanks in advance!
The area of a circle is defined as [tex]\pi(r^{2})[/tex], where r = 4.3 here. 4.3^2 ≅ 18.49, so the area of the full circle is 18.49π.
The shaded section covers 12 degrees of the full 360 degrees in a circle, or 1/30th of the area. Therefore, the area of the shaded section is equal to [tex]\frac{18.49\pi}{30}[/tex], or about 1.936. In this question's context, that would be 1.936[tex]in^{2}[/tex].