A ladder leans against the side of a house. The angle of elevation of the ladder is 73°, and the top of the ladder is 14 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Answer:
4.3 feets
Step-by-step explanation:
Given that:
Angle of elevation = 73°
Horizontal distance from foot of ladder to bottom of wall = x feets
Height of ladder = 14 feets
The horizontal distance, x :
Using trigonometry :
Tan θ = opposite / Adjacent
Tan θ = 14 / x
Tan 73 = 14 / x
3.2708526 * x = 14
x = 14 / 3.2708526
x = 4.2802295
x = 4.3 feets
What is [tex]12\sqrt1248[/tex]
Step-by-step explanation:
[tex] \sqrt[12]{1248} = 1.811414676[/tex]
pleaseeee helppppppppp meeeeee
Answer:
x = 10 yd
Explanation:
These triangles are based on proportions. 12 yd is proportional to 18 yd, and x yd to 15 yd. We want to find x. We'll use the rule of three to calculate the unknown number.
12/18 = x/15
x = (12 · 15)/18
x = 10 yd (10 yards from the hut to the gold coins)
Solve.
8d + 6 = 22
d =
What is 9.25% tax of $27.26?
Answer:
$29.78
Step-by-step explanation:
1. make the % into a decimal
9.25% = 0.0925
2. multiply amount by the decimal to get the tax amount
$27.26 × 0.095 = $2.52
3. take the original amount and add the tax to get your final total
$26.27 + $2.52 = $29.78
a second truck arrives whose ladder, when extended,is 30 meters long. the base of this ladder is also 4 metres above the ground. for safety reasons, the max angle of elevation that the ladder can make is 70%
Answer: The maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
Step-by-step explanation:
A diagram for the given situation is attached.
To find: AC
In right triangle ABF,
[tex]\dfrac{AB}{AE}=\sin 70^{\circ}\\\\\Rightarrow\ \dfrac{AB}{30}=0.9397\\\\\Rightarrow\ AB=30\times0.9397\approx 28.19[/tex]
Now AC = AB + BC = 28.19 + 30 meters = 58.19 meters
Therefore, the maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
(1) Colin wants to cut the pizza into 1/6 slices. Marco wants to cut the pizza into 1/4 slices. What is a common denominator of both fractions so that Marco and Colin can see both fourths and sixths in the pizza? What would the equivalent fractions be?
1/12
1/6 = 2/12
1/4 = 3/12
Step-by-step explanation:
V is the midpoint of GH. G has coordinates (5, -3), and V has coordinates (-1, 3). Identify the coordinates of H.
Answer:
(-7,9)
Step-by-step explanation:
HELP PLEASE The 30% discount on a $49 dollhouse
Answer:
$14.70
Step-by-step explanation:
$49 x .30 = $14.70
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
Answer:
y=2x+0
Step-by-step explanation:
y=mx+b
y=(slope)x+(y-intercept)
y=2x+0
Answer:
y = 2x
Step-by-step explanation:
y = mx + b
m = slope
b = y intercept
y = 2x + 0
Therefore, the equation is y = 2x.
i will give brainliest:)
Answer:
I believe it is A, B, and D.
Step-by-step explanation:
The temperature at 6:00 a.m. was -6°F. By 12 noon, the temperature had increased by 15°F. What was the temperature at
12 noon?
Answer:
9°
Step-by-step explanation:
-6 + 15 = 9
Factor 49z + 28. Write your answer as a product with a whole number greater than 1.
Answer:
87z
Step-by-step explanation:
The sum of three consecutive EVEN integers is is 138. Find the smallest integer.
Step-by-step explanation:
Let x be the smallest even integer.
Then (x + 2) and (x + 4) are the other even integers.
We have x + (x + 2) + (x + 4) = 138.
=> 3x + 6 = 138
=> 3x = 132
=> x = 44.
Hence the smallest integer is 44.
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.
Scale factor: 4:5
Surface area: 160
volume: 704
Surface area: ?
volume: ?
Answer:
Surface area: 250
Volume: 1375
Step-by-step explanation:
Scale factor: 4:5
This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So
[tex]S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250[/tex]
Volume:
The volume is found multiplying the cube of the change(5/4) by the original volume(704). So
[tex]S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375[/tex]
To solve 5/7 - 2/n = 1/21
Answer:
-2/n=1/21-5/7
-2/n= -2/3
cross multiple
-2×3=n×-2
-6/-2=-2n/-2
n=3
Here you go it is here now
Answer:
40+10=50
40+-15=25
40+-30=10
40+-40=0
40+-50=-10
20+-25=-5
Step-by-step explanation:
in this order
Answer:
40+10=50
40+-15=25
40+-30=10
40+-40=0
40+-50=-10
20+-25=-5
Step-by-step explanation:
the other guy had it right.
Find x and y HELP PLS ASAP
Step-by-step explanation:
A is the correct answer.
Mr. Herrera has 4 cups of raisins to serve to his students as a snack. How many 19 of a cup of servings can Mr. Herrera make?
Answer: The answer is 4 * 9 = 36, So Mr. Herrera can make 36 sevings.
Factorise:
4x^2+4xy+y^2-2^2
Answer:
Step-by-step explanation:
4x^2 + 4xy + y^2 = (2x + y)^2
and if we assume that 2x + y = A and because 4 = 2^2
A^2 - 2^2 = (A-2)*(A+2) .
Alan buys a book that is on sale.
He writes the expression 0.7b to show the percent of the original cost of the book, b, that he pays.
He rewrites the expression as b−0.3b.
Which statement explains why Alan rewrites the expression?
He receives another discount on the book.
He buys another book with a different discount.
He wants to show by what percent the book was discounted.
He wants to show what percent of the original price he paid.
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =
Answer: 3x=-24
9x is 3(3x)= 3(-24)
9x=-72
X=-8
Step-by-step explanation:
I really need help ASAP
f(x)=1/(6x+8)
Only value of x not in the domain?
Answer:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
Step-by-step explanation:
-4y^5 + 6y^3 + 8y^2 - 2y
find the measure of
14 candy bars cost $5.20. How much would one cost? What is the unit rate?
Answer:
$0.37
Step-by-step explanation:
You can write this equation as, x=$5.20÷14.
This is because we know we are trying to find the x value for 1 candy bar. and 14 costs $5.20 in total. 14÷14=1. Therefore, we essentially divided the total sum among each individual candy bar. (example: if you wanted to find the value of 2 candy bars, you would take half of 14 and divide $5.20 by 7). $5.20÷14=$0.37 or 37 cents per candy bar.
Writing this as a rate is simple; it's $0.37/candy bar
1.4(4.4x2.3) how do I distribute this
Answer:
14.168
Step-by-step explanation:
4.4 times 2.3= 10.12
1.4(10.12) = 14.168
What is the answer?!!!
Answer:
[tex]\displaystyle d = \sqrt{72}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -3)
Point (8, -9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9--3)^2}[/tex](Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9+3)^2}[/tex](Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(6)^2+(-6)^2}[/tex][√Radical] Exponents: [tex]\displaystyle d = \sqrt{36+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{72}[/tex]doar de la 1 pana la 9