Answers
Answer:
<A = 30°
The steps are given in the pic. Hope it will help :)
Related Questions
A 31-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 33 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
B
5
?
Answers
Answer:
Step-by-step explanation:
[tex]\text{By the Pythagorean Theorem the hypotenuse of a right triangle squared is equal to the sum of the squared sides.}\\ \\ h^2=x^2+y^2\\ \\ 33^2=31^2+x^2\\ \\ x^2=33^2-31^2\\ \\ x^2=128\\ \\ x=\sqrt{128}\\ \\ x\approx 11.3m[/tex]
Linda can drive 180 miles in 3 hours. On Tuesday, she drove for 7 hours at that rate. How many miles did she drive on Tuesday?
Answers
60 x 7= 420
420 miles drive on tuesday
have a good day:)
Answer: 420
Step-by-step explanation:
I took the test and got it right lol
How do you solve for a variable?
A. Use the alphabet
B. Displacement
C. Get it by itself
Answers
Answer:
C. Get it by itself
Step-by-step explanation:
When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.
Vaughn threw the shot put 9 yards at a track meet. The official used a tape measure to measure the distance in feet. How many feet did he throw the shot put?
Answers
Answer:
27 feet
Step-by-step explanation:
There are 3 feet in 1 yard. 9×3=27
Two less than three times a number
Answers
Answer:
3x-2
Step-by-step explanation:
3 times a number is 3x, if we use x as the number
Two less than (3x) is 3x - 2
Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) x − 20 x2 + x − 20 Incorrect: Your answer is incorrect. (b) x2 x2 + x + 20 Incorrect: Your answer is incorrect.
Answers
Answer:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]
Required
Decompose into partial fraction
Start by factorizing the denominator:
[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]
[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]
[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]
So, we have:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
Take LCM
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]
Cancel out the denominator
[tex]x - 20 = A(x+5)+B(x-4)}[/tex]
Open brackets
[tex]x - 20 = Ax+5A+Bx-4B[/tex]
Collect Like Terms
[tex]x - 20 = Ax+Bx+5A-4B[/tex]
[tex]x - 20 = (A+B)x+5A-4B[/tex]
By comparison;
[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]
[tex]5A - 4B = 1[/tex]
Make A the subject in [tex]A + B = 1[/tex]
[tex]A = 1 - B[/tex]
Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]
[tex]5(1-B) -4B = 1[/tex]
[tex]5-5B -4B = 1[/tex]
[tex]5-9B = 1[/tex]
Collect Like Terms
[tex]-9B = 1 - 5[/tex]
[tex]-9B = - 4[/tex]
[tex]B = \frac{4}{9}[/tex]
[tex]A = 1 - B[/tex]
[tex]A = 1 - \frac{4}{9}[/tex]
[tex]A = \frac{9-4}{9}[/tex]
[tex]A = \frac{5}{9}[/tex]
So:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
Solve the equation
2x2 + 12x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Show step by step please!!!!
Answers
Step-by-step explanation:
4+12x=7
12x=7-4
12x=3
X=3/12
X=0.25
what's the correct choice please help
Year. 2006. 2007. 2011 . 2012. 2013
CPI. 201.6. 207.342. 224.939. 229.594 232.957
Suppose you bought a house in 2013 for $90,000. Use the table above to calculate the 2006 value adjusted for inflation. which is the correct answer below
$90,314
$91,398
$103,999
$77,886
Answers
Answer:
$77,886
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
The table states that:
$201.6 in 2006 is worth $232.957 in 2013.
We want to find:
The value of $90,000 in 2013 in 2006:
$201.6 - $232.957
x - $90000
Applying cross multiplication
[tex]232957x = 201.6*90000[/tex]
[tex]x = \frac{201.6*90000}{232957}[/tex]
[tex]x = 77886[/tex]
$77,886 is the answer
Write the slope intercept form for an equation that has an equation of -2x + y = 7 and passes through (4,5). *
Answers
SLOPE INTERCEPT FORM: y = 7x −23
Determine if the following function is even, odd or neither.
f(x) = 4x2 – 8x + 5
Answers
9514 1404 393
Answer:
neither
Step-by-step explanation:
A polynomial consisting of even-degree terms only is even.
A polynomial consisting of odd-degree terms only is odd.
The given f(x) polynomial has both even- and odd-degree terms, so is neither.
5 for $4.45 or 8 for $7.28
Answers
Answer:
5 for $4.45
Step-by-step explanation:
Skylas research Shows at eight empty cans make 1/ 4th pound of aluminum
she
wants to know how many cans it takes to make 5 pounds of aluminum how many kids are there per pound of aluminum
Answers
Answer:
160 cans for 5 pounds of aluminum
Step-by-step explanation:
Can the triangles be proven similar by AA?
Question options:
A)
No, similar triangles cannot contain a pair of parallel lines.
B)
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
C)
Yes, because || .
D)
No, the triangles contain no angles marked congruent.
Answers
Answer:
No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
Step-by-step explanation:
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
What is similarity?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Both triangles are similar as,
∠QUR ≅ ∠TUS (vertical angles)
∠R ≅ ∠S (alternate interior angles).
So, By AA similarity criteria triangles are similar.
Learn more about similarity here:
https://brainly.com/question/17170212
#SPJ5
A line segment has an endpoint at (-7, 11) and (-6, 4), what is the length of
the segment?
Answers
Answer:
d = 5√2 units
Step-by-step explanation:
Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values with your endpoints.
d = √[(-6 - (-7))² + (4 - 11)²]
Solve within the parentheses.
d = √[(1)² + (-7)²]
Solve the exponents.
d = √[1 + 49]
Solve within the brackets.
d = √50
Simplify the square root.
25 • 2 = 50
√25 • √2 = √50
5 • √2 = √50
d = 5√2 units
Hope this helps!
If the tax rate in a certain city is 8.75%, how much tax is added to the purchase of carpeting that costs $1,500?
Answers
Answer:$1312.5
Step-by-step explanation:
1500x1.875=2812.5
2812.5-1500=1312.5
it’s MATH who knows how to do this i’m down bad
Answers
Answer/Step-by-step explanation:
1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)
Collect like terms
7x - 5x = -2 + 22
2x = 20
2x/2 = 20/2
x = 10
2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)
Collect like terms
13x - 10x = 6 + 24
3x = 30
3x/3 = 30/3
x = 10
3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)
12x + 26 + 46 = 180
12x + 72 = 180
12x + 72 - 72 = 180 - 72
12x = 108
12x/12 = 108/12
x = 9
4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)
5x + 5 + 135 = 180
5x + 140 = 180
5x + 140 - 140 = 180 - 140
5x = 40
5x/5 = 40/5
x = 8
Which of the I-values are solutions to both of the following inequalities?
81> I and I > 68
Answers
Answer:
Option (C)
Step-by-step explanation:
Given inequalities are,
81 > x and x > 68
Therefore, 81 > x > 68 is the inequality representing the solution area for x.
Out of x = 88, 85 and 80,
x = 80 will lie between the range of x = 68 and x = 81.
Therefore, Option (C) will be the correct option.
Jane needs to miss fewer than 1__6of the words on her spelling list. If there are 18 words, how many can she miss? Explain.
Answers
Answer:
Assuming that you mean 1/6, the answer would be 3 .
Step-by-step explanation:
1/6 x 18 is equal to three.
Ruben's football team lost 2 yards, which means went backwards, on their last play. Which integer best represents this?
Answers
Answer:
-2
Step-by-step explanation:
Integers can be positive or negative.
Pls help me I’ll brainlest I need a good grade on this
Answers
Answer:12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
A car travels 136 miles using 7 gallons of gas. At that rate, how far can the car travel using 42 gallons of gas?
Answers
Answer:
in 136 miles=7 gallons
?=42 gallon
= 136=7
?=42
cross multiply
136×42=5,712
=5,712÷7=816
Answer:
816 miles
Step-by-step explanation:
136miles/7 g =19.43
19.43 x 42 ≅ 816.06
or
136/7 = X/42
solve for X
42/7 =6, then 136 x6= 816
x = 816 miles
Write the measure 29° 6'6" as a decimal to the nearest thousandth.
a. 29.1020
C. 29.485
b. 27.5949
d. 27.682°
Please select the best answer from the choices provided
Answers
Answer:
A. 29.1020
Step-by-step explanation:
Rewrite it:
29°6'6"
29° + 6(1/60)° + 6(1/3600)°
Simplify:
29° + 0.1° + 0.002°
= 29.102
So, the correct answer is A, 29.1020
find y and round to the nearest tenth. thank you
Answers
Answer and Step-by-step explanation:
31 degrees on the top would be equal to the angle in between x and 600ft, by the interior angles theorem.
That means we can solve for y using the trigonometric function of tangent.
[tex]tan(31) = \frac{y}{600}[/tex]
Multiply by 600 to both sides, then use a calculator to solve.
600(tan(31)) = x
x = 360.5163714
x ≈ 360.5 is the answer.
What is a in the parallelogram
Answers
9/10 times 1/5 PLS HURRY I ONLY HAVE 2 MINUTS
Answers
f(x) = 200(1
Bhhhhhhhhhhh
Answers
Answer:
hgyt67rdjhhrgytr7ugjv. hgehalk4
Step-by-step explanation:
Do
10 cm
10 cm
20 cm
form an triangle?
Answers
Answer:
No it is unable to form a triangle.
Step-by-step explanation:
It cannot be because one side is two times the other side, and there are two of the "other sides". It cannot form a triangle.
Answer:
Step-by-step explanation:
Solve the proportion 2x+3/3 = 9/27
Answers
Answer:
-0.3333333333
Step-by-step explanation:
please helppp
Simplify.
(-2)^-3
Answers
Answer:
-1/8 <----- FRACTION
Step-by-step explanation:
To simplify, first flip the term to the denominator to get rid of the negative exponent. Then simplify 1/-2^3. This equals 1/-8 because -2^3 is the same as -2*-2*-2, which is -8.
True or false: 30% of 750 Km=225 km
Answers
It's True True True True True True True