Answer:
The base of the ladder is 3.2 meters far from the wall.
Step-by-step explanation:
We need to calculate the base of a right triangle. The given information is:
h: hypotenuse = length of the ladder = 6 m
b: is the base =?
θ: is the angle between the hypotenuse and the base = 58°
To find the base we can use the following trigonometric equation:
[tex]cos(\theta) = \frac{b}{h}[/tex]
[tex] b = cos(\theta)*h = cos(58)*6 = 3.2 m [/tex]
Therefore, the base of the ladder is 3.2 meters far from the wall.
I hope it helps you!
The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm. Show that ia + 91 +b=0 where a and b are integers to be found.
Answer:
[tex]x^2-10x+18=0[/tex]
a = -10 and b = 18.
Step-by-step explanation:
Let w represent the width of the rectangle.
We are given that the perimeter of the rectangle is 20 cm, this means that:
[tex]20=2(x + w)[/tex]
Let's put w in terms of x. Divide both sides by two:
[tex]10=x+w[/tex]
And solve for w:
[tex]w=10-x[/tex]
So, the rectangle measures x by (10 - x) cm.
According to the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
a and b are the legs and c is the hypotenuse.
Substitute x for a, w for b, and 8 for c:
[tex]x^2+w^2=8^2[/tex]
Simplify and substitute:
[tex]x^2+(10-x)^2=64[/tex]
Square:
[tex]x^2+(100-20x+x^2)=64[/tex]
Isolate the equation. So:
[tex]2x^2-20x+36=0[/tex]
Since the leading coefficient is one, divide both sides by two:
[tex]x^2-10x+18=0[/tex]
Therefore, a = -10 and b = 18.
What is the sale price for an item with an original price of 13.99 after applying a discount of 45%?
Answer:
7.69
Step-by-step explanation:
13.99 x 0.45 = 6.2955 or 6.3
13.99 - 6.3 = 7.69
Fill in the blanks with two consecutive integers to complete the following inequality.
? < √97 < ?
Answer:
9 < √97 < 10
Step-by-step explanation:
√97 is a little less than √100
Which is 10
9 < √97 < 10
=====================================================
Explanation:
Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2
We can apply the square root to all three sides to get the following
[tex]81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\[/tex]
Using a calculator, we can help verify this
[tex]\sqrt{97} \approx 9.85[/tex]
fjhghdjd ffjfnfnfjdj
Answer:
$77.90
Step-by-step explanation:
The range between the highest and lowest is 27.50 so the lowest should be 27.50 less than 105.40. 105.40-27.50=77.90
So the lowest pay is $77.90
Find the missing side
Answer:
x = 12.35
Step-by-step explanation:
Tan(39) = 10/x
Tan(39) * x = 10
x = 10 / Tan(39)
x = 12.35
Hope this helps!
Answer:
Step-by-step explanation:
Remember SOHCAHTOA.
In this case, we use TOA.
tan(39) = 10/x
x = 10/tan(39)
x = 12.349
PLEASE HELP! Math (recursive sequences)
Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123
In trapezoid KLMN, solve for x ,then use that value to solve for
Answer:
Same side angles are supplementary
L+k=180
18x-18+72=180
18x=126
x=7
m∠18(7)-18
= 108°
---------------------
hope it helps...
have a grat day
7.) The time needed to travel a certain distance varies inversely with the rate of speed. It takes 8 hours to travel a certain distance at 36 miles per hour.
a.) Write an equation to describe the situation. (Note: the variable that represents time must be on one side by itself.)
b.) How long will it take to travel the same distance at 60 miles per hour?
Answer:
t=time
v=speed
t=k/v
8hr=k/36 mi/hr
k=288 mi
t=288 mi24 mi/hr =12 hours.
-------------------
The distance is 288 miles by multiplying 36 by 8.
divide that by 24 mph, and it is 12 hours.
A store paid $800 for a computer. To make a profit, they need to sell it for 15%
more than what they paid. What is the new price of the computer
Answer:
$920
Step-by-step explanation:
800(1.15) = 920
The bike owner counted 32 wheels and 18 seats.
Remember that each bicycle and unicycle has 1 seat. Use b for the number of
bicycles and u for number of unicycles.
Answer:
b = 14
u = 4
Step-by-step explanation:
I manually counted because I forgot how to solve this. HAHA
Hope this helps
divide the LCM of 48,64,and 80 by thier HCF
Answer:
HCF=8
LCM=480
Step-by-step explanation:
prime factor trees
Answer:
60
Step-by-step explanation:
48=2×2×2×2×3
64=2×2×2×2×2×2
80=2×2×2×2×5
H.C.F.=2×2×2×2=16
L.C.M=2×2×2×2×2×2×3×5
L.C.M.÷H.C.F.=(2×2×2×2×2×2×3×5)/(2×2×2×2)=2×2×3×5=60
Find the measure of KL
A. 10
B. 5
C. 7
D. 8
Answer:
[tex]ML=9,MN=8[/tex]
[tex]MK=ML+LK[/tex]
[tex]9+-3+x[/tex]
[tex]=9-3+x[/tex]
[tex]MK=6+x[/tex]
[tex]ME=MN+NE[/tex]
[tex]ME=8+x[/tex]
Now using Secant secant theorem:-
[tex]ML*MK=MN*ME[/tex]
[tex]9(6+x)=8(8+x)[/tex]
[tex]54+9x=64+8x[/tex]
Subtracting 8x and 54 on both sides:-
[tex]54+9x-8x-54=64+8x-8x-54[/tex]
[tex]x=10[/tex]
[tex]KL=-3+x[/tex]
[tex]KL=-3+10[/tex]
[tex]KL=7[/tex]
so, your answer is C) 7
-------------------------
hope it helps....
Answer:
C.) 7
Step-by-step explanation:
I got it correct on founders edtell
plzz help me ,.......
Answer:
Step-by-step explanation:
answer for question no 3
answer for question no 4
Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4
Answer:
y-y1=m(x-x1)
y-1/3=3/4(x-4)
y=3/4x-8/3
How do you prove that lines are similar in triangles if it is parallel? (look at photo)
Answer:
they are similar cuz it resembles a "z" pattern. The angles are so the same.
A 16ft ladder leans against the side of a house. The bottom of the ladder is 15 ft away from the side of the house. Find x, the angle of elevation of the ladder.
Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answer:
x ≈ 69.6°
Step-by-step explanation:
The angle of elevation is the measure of angle x
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{16}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{15}{16}[/tex] ) ≈ 69.6°
The angle of elevation is 69.6° ( to the nearest tenth )
( 18points)Help!!!
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Answer:
It's indeed A. Yet I think of reporting multiple same questions as spam and nonsense titles.
but nah, I won't, would be kinda focused on the toxic part then :D
plz help i have like 1 braincell
Answer: Should be (3, 1) :)
Step-by-step explanation:
Answer: (4,-8)
Step-by-step explanation:
you look at the point it is and flip it to a negative
Mary has $27 in her savings account. Each day she adds $1 to this account. Which equation best
represents the amount of money, y, Mary will have in this account after 3 days?
Answer:
y=1x+27
y=1(3)+27
Y=30
Step-by-step explanation:
X=DAYS
M=DOLLARS
Hope this helps brotha
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter
Answer:
72 m^3
Step-by-step explanation:
volume of the kiosk = volume of cylinder + volume of cone
volume of a cylinder = nr^2h
n = 3.14
r = radius = 5/2 = 2.5
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x (2.5^2) x 3 = 58.88
Volume of a cone = 1/3(nr^2h)
3.14 x 1/3 x (2.5^2) x 2 = 13.08
13.08 + 58.88 = 71.96
To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
= 72 m^3
solve using the quadratic formula 2x^2+9x=5
Answer:
x = -1/2, x = -5 OR x = -0.5 and x = -4
Step-by-step explanation:
I’ll just put a picture, I can’t fully explain digitally. ;D
enlarge the triangle by a scale factor of -1.5 with centre of englargement (3,6)
The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3), B'(x, y) = (3, 3) and C'(x, y) = (6, 0).
How to enlarge a triangle on a Cartesian plane by rigid transformation
In this problem we find a triangle whose vertices have the following coordinates: A(x, y) = (1, 8), B(x, y) = (3, 8), C(x, y) = (1, 10), and we are asked to enlarge the triangle by a scale factor of - 1.5 and with a centre of enlargement at (3, 6). Please notice that the negative sign of the scale factor involves both enlargement and reflection. Then, the operation can be done by the following operation:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Where:
O(x, y) - Center of enlargementk - Scale factorP(x, y) - Original pointP'(x, y) - Resulting pointIf we know that O(x, y) = (3, 6), k = - 1.5, A(x, y) = (1, 8), B(x, y) = (3, 8) and C(x, y) = (1, 10), then the coordinates of the resulting expression:
A'(x, y) = (3, 6) + (- 1.5) · [(1, 8) - (3, 6)]
A'(x, y) = (3, 6) + (- 1.5) · (- 2, 2)
A'(x, y) = (3, 6) + (3, - 3)
A'(x, y) = (6, 3)
B'(x, y) = (3, 6) + (- 1.5) · [(3, 8) - (3, 6)]
B'(x, y) = (3, 6) + (- 1.5) · (0, 2)
B'(x, y) = (3, 6) + (0, - 3)
B'(x, y) = (3, 3)
C'(x, y) = (3, 6) + (- 1.5) · [(1, 10) - (3, 6)]
C'(x, y) = (3, 6) + (- 1.5) · (- 2, 4)
C'(x, y) = (3, 6) + (3, - 6)
C'(x, y) = (6, 0)
The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3), B'(x, y) = (3, 3) and C'(x, y) = (6, 0).
To learn more on rigid transformations: https://brainly.com/question/1761538
#SPJ1
Re write 12% as common fraction in simple form
Answer:
3/25
Step-by-step explanation:
Answer:
=325
Showing Work:
12%=12100
=0.12
=0.121×100100
=12100
=325
Alguien sabe como resolver esto?
Answer:
i think let me see
Step-by-step explanation:
Marking brainliest
What does this quote mean? “The time is always right to do what is right”- MLK. don’t use the internet pls !!
To me, this means doing a righteous act has no constraint based on what situation anyone is in.
what is the answer for , 5ײ + 1 + × + 3ײ
can I get some help in algebra 1
Given the similar rectangles, solve for x
1. X=12
2.x=18
X=21
X=14
Answer:
x=12
Step-by-step explanation:
since they are similar triangle .Use these ratios
9/6=x+9/14
do cross multiplication
6(x+9)=14*9
6x+54=126
6x=126-54
x=72/6
x=12
least to greatest.
8. Choose the inequality that represents the following
graph.
4 +
-5 -4
+
-2
-3
-1
0
1
2
3
4
5
A. x < 1
B. X<1
find
D. XX1
C. x > 1
Answer:
4+5-1535648&574£abjibav fgjr
Answer:
D. x ≥ 1
Step-by-step explanation:
The graph shows a shaded circle which starts at 1. This implies that 1 is included in the possible values of x. The line goes from 1 towards our tight. This means that the possible values of x are greater than or equal to 1.
The inequality representing the graph would be:
x ≥ 1
Does anyone know this???
Answer:
a) 40 is the interquartile range
descriptive statistics, the interquartile range, also called the midspread, middle 50%, or H‑spread, is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR = Q₃ − Q₁.
b).
The first thing you always need to do before estimating fractions is to round each fraction either to the nearest 0, 1/2, or 1. Example #1. Estimate 3/7 + 5/9. Notice that 3/7 is close to 1/2 and 5/9 is also close to 1/2. Therefore, an estimate for 3/7 + 5/9 is 1/2 + 1/2 = 1.