Answer:
17.7 ft
Step-by-step explanation:
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
We solve using the Trigonometric function of sin
sin = Opposite/Hypotenuse
Opposite = Height = ?
Hypotenuse = Length of the ladder = 20 ft
Hence:
sin 62 = h/20 ft
Cross Multiply
h = sin 62 × 20 ft
h = 17.658951857 ft
Approximately = 17.7 ft
At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
Answer:
8d + 6b = 55
2d + 9b = 32.50
Step-by-step explanation:
let 'd' = # dog bowls
let 'b' + # bones
Rhonda: 8d + 6b = 55
Kelly: 2d + 9b = 32.50
we can multiply Kelly's equation by -4 to eliminate the 'd' terms:
Kelly: -4(2d + 9b) = 32.5(-4)
-8d - 36b = -130
now add the above equation to Rhonda's equation:
-8d - 36b = -130
+ 8d + 6b = 55
-30b = -75
b = 2.50
now we can use either equation and substitute 2.5 for 'b' to find 'd'
2d + 9(2.5) = 32.5
2d + 22.5 = 32.5
2d = 10
d = 5
Explain please thank you
Please answer!!!!! 100% sure will mark as brainlist
question: In the given figure ABCD is a parallelogram Find x
Answer:
x=3
Step-by-step explanation:
5x-1=3x+5(opposite sides of a parallelogram is equal)
5x-3x=5+1
2x=6
x=6/2
x=3
therefore the value of x is 3
Answer:
Step-by-step explanation:
So in a parrelelagram, we know that the top and bottom side are equivelent in length.
This is the same with the left and ride side as well.
So knowing this, we can solve x by setting up this equation:
5x-1=3x+5
This works because we know both sides are equvlent, but have different x values and number values.
Lets start solving:
5x-1=3x+5
First lets move all the numbers to one side:
5x=3x+6
Now lers get the variable to one side:
2x=6
Now divide both sides to get x alone"
x=3
This is your answer!
Hope this helps!
Which one of the following is a correct equation?
Answer:
B. cos 41° = [tex]\frac{x}{19}[/tex]
Step-by-step explanation:
cos of an angle is the adjacent side of the angle over the hypotenuse.
Answer:
Answer is a
[tex]{ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}} \\ { \tt{ \cos(41 \degree) = \frac{x}{19} }} \\ \\ { \boxed{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ { \tt{ \sin(41 \degree) = \frac{ - }{19} }}[/tex]
the expression (x^2-1)^-2/3 is equivalent to
Answer:it’s x
Step-by-step explanation:
Sry if I’m wrong
please find Area of triangle
Answer:
60
Step-by-step explanation:
Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.
How do you do this ?
Answer:
the answer is- g= 72/d minus f/d
factoring polynominaly
Answer:
Most of the question is missing. If you could type out the rest, we might be able to help you.
What is the total surface area of the rectangular prism below in square meters? (Try drawing the net
of the prism if needed.)
5 m
4
2 m
3
m
Answer: The surface area (SA) would be 62 m.
Step-by-step explanation: The formula for surface area of a rectangular prism is SA= 2(length × width + height × length + width × height). We can substitute the length, width and height into the problem and get
SA= 2(3×5 + 2×5 + 3×2). Using the order of operations (PEMDAS) we can simplify the problem down to SA= 2(15 + 10 + 6), then add up what is in the parentheses and get SA= 2(31), and 2×31=62.
10.3% of 853.93km rounded to 2 dp
Answer:
87.95479
Step-by-step explanation:
10.3% of 853.93 km
Expand 10.3÷100 by multiplying both numerator and denominator by 10.
[tex] \small \sf \frac{10.3 \times 10}{100 \times 10} = 853.93 \\ [/tex]
[tex] \small \sf \frac{103}{1000} = 853.93 \\ [/tex]
convert decimal number 853.93 to fraction 85394÷100
[tex]\small \sf \frac{103}{1000} = \frac{85393}{100} \\[/tex]
Multiplying 103÷1000 and 85393÷100 by numerator times numerator and denominator times denominator.
[tex]\small \sf \frac{103 \times 8539 3}{1000 \times 100} \\[/tex]
Do the multiplication in the fraction
[tex]\small \sf \frac{8795479}{100000} \\ [/tex]
Divide we get
87.95479
Another way to solve it
10.3% 853.93
we know that ; % = whole no. ÷ 100
then,
10.3 ÷ 100 × 853.93
Divide the numbers
0.103 × 853.93
multiply the numbers
87.95479
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Answer: -9/2
Step-by-step explanation:
Answer:
x = -9/2
Step-by-step explanation:
Use the law of exponents
(a^p)^q = a^(pq)
here on the left-hand-side
a=3
p=3
q=2x+6
so
(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)
The right-hand-side = 3^(2x)
Equate exponents of both sides
6x+18 = 2x
6x-2x = -18
4x = -18
x = -9/2
Triangle PQR is similar to triangle XYZ. The length of PQ is one-half the length of XY. THe length of RP is 2 cm. Which proportion can be used to find the length of ZX?
Answer:
[tex]ZX = 4cm[/tex]
Step-by-step explanation:
Given
[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex]
[tex]PQ = \frac{1}{2}XY[/tex]
[tex]RP = 2cm[/tex]
Required
Find ZX
[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex] implies that, the following sides are similar
[tex]PQ \to XY[/tex]
[tex]QR \to YZ[/tex]
[tex]RP \to ZX[/tex]
To find ZX, we make use of the following equivalent ratio
[tex]PQ : XY = RP : ZX[/tex]
Where
[tex]PQ = \frac{1}{2}XY[/tex]
[tex]RP = 2cm[/tex]
So, we have:
[tex]\frac{1}{2}XY : XY = 2cm : ZX[/tex]
Express as fraction
[tex]\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}[/tex]
[tex]\frac{1}{2}= \frac{2cm }{ ZX}[/tex]
Make ZX the subject
[tex]ZX = 2 * 2cm[/tex]
[tex]ZX = 4cm[/tex]
Please help test tomorrow everything you need is in the photo below
Answer:
yes
Step-by-step explanation:
a bucket contains 3 1/2 gallon of water. If Marie adds 5 gallons more, how many gallons of water will there be in all?
Answer:
8 1/2
because 3 + 5= 8+ 1/2= 8 1/2
A circle has a radius of 10 cm and a sector of the circle
has an arc length of 10.8 cm.
The angle at the centre of the sector is x.
Calculate the value of x to the nearest degree.
10.8 cm
10 cm
The product of two and any nonzero integer is always _________.
Answer:
The product of two and any nonzero integer is always an even number.
Step-by-step explanation:
Example:
2 * 17 = 34
2 * 15 = 30
2 * 30 = 60
All of these are even numbers.
The product of two and any nonzero integer is always an even integer.
What are integers?"It is a natural number numbers along with zero and negatives."
Z = . . ., -3, -2, -1, 0, 1, 2, 3, . . .
What is even integer?"An integer which is divisible by 2."
For given example,
Let a = 2 and 'b' be any nonzero integer.
Case 1: 'b' is positive even integer
Let b = 4
⇒ a × b = 2 × 4
⇒ a × b = 8, which is an even integer.
Case 2: 'b' is negative even integer
Let b = -8
⇒ a × b = 2 × (-8)
⇒ a × b = -16, which is an even integer.
Case 3: 'b' is positive odd integer
Let, b = 9
⇒ a × b = 2 × 9
⇒ a × b = 18, which is an even integer.
Case 4: 'b' is negative odd integer
Let, b = -3
⇒ a × b = 2 × (-3)
⇒ a × b = -6, which is an even integer.
From above cases, we can observe that the product of 2 and any nonzero integer is an even integer.
Therefore, the product of two and any nonzero integer is always an even integer.
Learn more about integers here:
https://brainly.com/question/15276410
#SPJ2
estimate the measure of
Answer:
Step-by-step explanation:
That appears to be approximately 45 degrees, so to the nearest 10, I would put that at about a 50 degree angle.
Which linear equation best fits the data ?
Answer:
[tex]{ \tt{slope = \frac{2 - 1.5}{40 - 60} }} \\ = - 0.025 \\ \\ { \tt{y = mx + c}} \\ 2 = ( - 0.025 \times 40) + c \\ c = 3 \\ { \bf{ y = - 0.025x + 3}}[/tex]
Type in the value of y.
If x = 7, then y =
Explanation:
The rule says "whatever x is, add 1 to it to get y"
So for instance, if x = 3, then y = x+1 = 3+1 = 4
Now if x = 7, then y = x+1 = 7+1 = 8
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Given that,
[tex]1 + 1 = 2 \\ 2 + 1 = 3 \\ 3 + 1 = 4 \\ 4 + 1 = 5...[/tex]
So from this we can infer that, [tex]\large\bold{ x + 1 = y}[/tex]
Now,
[tex]x = 7 \\ y= \: ?[/tex]
Use the rule ⎆ [tex]\large\bold{ x + 1 = y}[/tex]
[tex]x + 1 = y \\ 7 + 1 = y \\ 8 = y[/tex]
✐ The value of y is 8.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
If f(x) = (x+1)-1
and
g(x) = x–2, what is the domain of Rx) = g(x)?
Step-by-step explanation:
f is (x+1)-1
and g (the next letter in the alphabet) is x-2
first for f
x+1-1 = x
Then we -2 for g
So every letter there o words is just 2 less than the previous letter like
h would be h= x-4
so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number
If you place a 34 foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building how tall is the building?
The rectangle below has an area of x2 - 16 square meters and a width of x + 4 meters.
What expression represents the length of the rectangle?
x +4
Length
x2 - 16
Length
meters
Answer:
Length = x - 4 meters
Step-by-step explanation:
Area of a rectangle = length × width
Area of a rectangle = x² - 16
width of the rectangle = x + 4 meters.
Length of the rectangle = ?
Recall:
Difference of two perfect square x² - 16 = (x + 4)(x - 4)
Area of a rectangle = length × width
(x + 4)(x - 4) = length * x + 4
Length = (x + 4)(x - 4) ÷ x + 4
Length = x - 4 meters
80 POINTS HURRY ILL GIVE BRANLIEIST!!!
A landscape architect built a square playground. The outside edges of the playground measure 3x meters. The playground has an area of 8100 m^2. How much fencing is needed to fully enclose the playground?
Answer:
360 meters
Step-by-step explanation:
[tex]\sqrt{8100}[/tex] = 90
one edge = 90 meters
90 x 4 = 360
360 meters
roatate triangle p 90* clockwise about the point (2,-1)
Answer:
hope this helps
Step-by-step explanation:
2 m − 3 ≤ 5 m + 15 solve this equation
Answer:
m≥ -6Step-by-step explanation:
Answer:
m ≥-6
Step-by-step explanation:
that is the procedure
EVALUATE 5/9 -1/4.............
Answer:
11/36
Step-by-step explanation:
Answer:
0.30555555555
Step-by-step explanation:
Twenty planes are at an airport. Eight planes take off, then five planes land, then 7
more take off, then 9 land. How many planes are left at the airport? PLS HELPP
Answer:
19
Step-by-step explanation:
20 - 8 = 12
12 + 5 = 17
17 - 7 = 10
10 + 9 = 19
Which relationship has a zero slope?
a²+b²=c²
5²+9²=c²
25²+81²=c²
106=c²10.2
5
Find the surface area
Step-by-step explanation:
so for this one u do
[tex]15 \times 9 + 9 \times 4 + 15 \times 4[/tex]
231 the times it by 2 for the both sides
231×2=462 cm2
hope this make sense :)
Use the replacement set {3, 4, 9} to find the solution of the equation below.
3n−18=9
Answer:
[tex]n=9[/tex]
Step-by-step explanation:
[tex]3n-18=9[/tex]
[tex]3n+18=[/tex] +18
[tex]3n=27[/tex]
[tex]3(9)=27[/tex]
[tex]n=9[/tex]