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.
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
Expand and simplify (3x+4)(2x+3)
Answer:
72 you just need to keep multiplying
Step-by-step explanation:
3x4. 2x3
12 x 6
72
Solve:
ab^2-(a-c)b-c=?
Answer:
ab^2-(a-c)b-c
ab^2-ab+bc-c
ab(b-1)+c(b-1)
(b-1)(ab+c)
how would i solve this with a graph AND A FUNCTION TABLE?!?!?!?!?
y=-1/4x - 3
Pls urgent Will mark brainiest
Whats 2+2
Answer:
4 haha lol lol
Step-by-step explanation:
2+2 is 4 lol
The area of a rectangular parking lot is 3960 m²
If the length of the parking lot is 72 m, what is its width?
Answer:
3816m
Step-by-step explanation:
72 + 72= 144
8960 - 144= 3816
I kinda need help with this
Find the mean:40,13,49,53,35
Find the Range:40,13,49,53,35
Find the median:40,13,49,53,35
Answer:
mean: 38
range: 27
median: 40
Step-by-step explanation:
mean: 40+13+49+52+35 / 5
range: 40 - 13
median : 40
Answer:
Mean = 38
Range = 40
Median = 40
Step-by-step explanation:
Arrange the terms in ascending order :
13, 35 , 40 , 49 , 53
[tex]Mean = \frac{40 + 13 + 49 + 53 + 35}{5} = 38[/tex]
[tex]Range = {53 - 13} = 40[/tex]
[tex]Median = \ the \ middle \ term = 40[/tex]
Is the missing side length a leg or the hypotenuse?
Answer:
the missing side is
[tex] \sqrt{9 {}^{2} + 12 {}^{2} } = 15 \: yards[/tex]
Answer: Hypotenuse
Step-by-step explanation:
This is a right triangle because it has a right angle, and the longest side of a right triangle is the Hypotenuse. The question mark in this image is asking about the longest side of this triangle, so therefore, it is the hypotenuse, not a leg.
How many solutions are there to the following equation?
2- 5x= 3(2 – 3x)
A. O
B. 1
C. Infinitely many
Write the expression in complete factored form.
5c(a + 3) + q(a + 3) =
Answer:
( a + 3 ) ( 5c + q )
Step-by-step explanation:
5c ( a + 3 ) + q ( a + 3 )
= ( a + 3 ) ( 5c + q )
the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number
Answer:
11
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let the third number be x , then
[tex]\frac{18+16+x}{3}[/tex] = 15 ( multiply both sides by 3 to clear the fraction )
34 + x = 45 ( subtract 34 from both sides )
x = 11 ← third number
Please help me ASAP!
Answer:
B: 153ft2
Step-by-step explanation:
A jar contains 8 marbles: 3 are red and 5 are blue. What is the probability of 1 point
selecting a red marble, replacing it, and then selecting another red marble?
Answer:
the probability of getting red marbles=
4/8=1/2
Step-by-step explanation:
Please help me need ASAP
Answer:
The answer is either (3) or (4) because drawing a line of best fit and finding its gradient is going to give you a negative answer
Answer:
-0.93
Step-by-step explanation:
As mentioned by Nicolas above, the line of best fit should give a negative coefficient because as x increases, y decreases.
Furthermore, since the lines do not make a perfect line, it cannot be the perfect fit, or a correlation of -1.00.
So we choose a negative answer but not -1.00 as explained previously. That lease the only choice of -0.93, by elimination without doing any calculations.
Rearrange the following numbers in order from least to greatest.
2, -7, 3, -9, -14, -8, 0, -10, -25
will mark the best answer or 1st answered brainliest or whatever
Answer:
-25, -14, -10, -9, -8, -7, 0, 2
Step-by-step explanation:
You do thing and it work
Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Answer:
I’m gay
Step-by-step explanation:
Answer:
Add 8x to both sides of the inequality.
Step-by-step explanation:
I got it right
Alguien me dice como lo hago paso a paso porfa
mediante la formulación y solución algebraica de sistemas de dos ecuaciones lineales con dos incógnitas
Completa la tabla para la expresión en que y= 2x – 1
y = 2x – 1
y = 2(1) – 1
y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo
Answer:
Completa la tabla para la expresión en que y= 2x – 1
y = 2x – 1
y = 2(1) – 1
y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo
What is the greatest common factor of 4 - 6а?
Answer:
GCF (4 ,6) = 2
Greatest common factor (GCF)
Step-by-step explanation:
How much money should be deposited in an account today that earns 4% compounded monthly so that it will accumulate to $10,000 in 5 years?
Answer:
$8206.37
Step-by-step explanation:
According to the Question,
Given, Some money should be deposited in an account today that earns 4% interest Annually. but it is compounded monthly so (4/12)% Will be the new interest Rate .
Now, What Money Should be Invested For 5 years(60 months) to get $10000 in Return .
The Formula for Compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex] .
We have, r=4% , n=12 , t=5 & A=$10000 Put These all value in above equation.
[tex]10000=P(1+\frac{0.04}{12})^{60}[/tex]
[tex]P= \frac{10000}{1.0033^{60} }[/tex] ⇔ $8206.37 Should be invested .
12. Three fifths of the children at my party like chocolate ice cream. How many of the 20 children at my party do not like chocolate ice-cream ? ……………………….
13. I have to pack 296 apples into 8 boxes. How many apples will there be in a box if each box contains the same number of apples? There will be 37
14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..
15. One soccer ball costs $4.50. How much will the soccer will balls in the picture cost?
Find the sum of the following series. Round to the nearest hundredth if necessary,
3 + 6 + 12+ ... +49152
Sum of a finite geometric series:
Q] - a
Sn =
1-T
Answer:
[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]
the Angle opposite The OPP is
Answer:
Theta
Step-by-step explanation:
Indeed all angles of a triangle have a opposite side. And in trigonometry, the side opposite to theta is opposite side
Point M is located at 6,7).
y
9-
А
8+
7+
B В
6
5-
4-
3
2+
2
.
1
1
a
2 3 4
5
6
7
8 9
What is located 3 units from point M?
Find the area of each figure. Use 3.14
===============================================================
Explanation:
The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5
The area of one circle is
A = pi*r^2
A = 3.14*(1.5)^2
A = 7.065
So two circles doubles to 2*7.065 = 14.13 square meters in area.
Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13
This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13
Answer:
23.14
Step-by-step explanation:
The shape is basically two equal-sized circles and a square.
Find the area of the square: 3 x 3 = 9
9 is the area of the square
The formula for finding the area of a circle is pi x radius squared.
3.14 x 1.5 squared = 7.06858
Round to 7.07 and multiply by 2 = 14.14
14.14 (area of both circles) + 9 (area of square) = 23.14
Mike works h hours in a week. To find his weekly pay he multiplies his hours by his pay of $30 per hour and adds $5 for his sales bonus. He's decided that he wanted to take one-fifth of his weekly pay and place it in his savings. Which simplified expression represents the amount that will go into his savings each week?
Answer:
6h + 1
Step-by-step explanation:
number of hours: h
pay per hour: 30
pay for the hours: 30h
add sales bonus: 30h + 5
1/5 of total above: (1/5)(30h + 5) = 6h + 1
Answer: 6h + 1
One limitation of pre-operational thought is the belief that non-living objects have life-like qualities?
Answer:
Animism
Step-by-step explanation:
Animism is often a major idea or thought which is developed in a child preooperational stage according to paiget's theory of cognitive development where a child's learning is driven and derived from by symbols. At this stage, a child often relates with their toys, and other inanimate objects they come across as though they were real, manipulating and transforming them to form different things including relating with these manipulated objects like they were living. This is because at this stage, a child cannot use cognitive or logic to make distinctions.
Plz help me I need a correct answer asap
[tex]\geq[/tex]Answer:
part A--- -9[tex]\geq[/tex]9
Step-by-step explanation:
Answer:
answer -9>9
Step-by-step explanation:
rbfodnddn bdbndndn
the volume of this triangular prism is ….. cubic inches. please someone help, will give brainliest asap just explain how❤️❤️❤️❤️❤️
Answer:
I think the answer is 278.85
Step-by-step explanation:
Answer:
278.85
Step-by-step explanation:
This was wrong.. Why?
Answer:
I think it's 9/22
Step-by-step explanation:
Probability of A given B = (probability of A and B)/probability of B
[tex]\frac{(14/22)(9/22)}{14/22} \\=\frac{9}{22}[/tex]
P(B) = P(1 checked bag) = 14/22
P(A) = P(silver status) = 9/22
P(A ∩ B) = (14/22)(9/22)
HELP PLS! A boat is heading towards a lighthouse, whose beacon-light is 102 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 13^{\circ}
, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 22^{\circ}
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
Answer:
Distance from point AA to point BB = 189.3 feet
Step-by-step explanation:
Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;
distance from point AA to point BB = x - y
To determine the value of x, applying the required trigonometric function;
Tan θ = [tex]\frac{opposite}{sdjacent}[/tex]
Tan 13 = [tex]\frac{102}{x}[/tex]
x = [tex]\frac{102}{Tan 13}[/tex]
= 441.81 feet
x = 441.8 feet
To determine the value of y;
Tan 22 = [tex]\frac{102}{y}[/tex]
y = [tex]\frac{102}{Tan 22}[/tex]
= 252.46
y = 252.5 feet
Thus,
distance from point AA to point BB = 441.8 - 252.5
= 189.3 feet
