Solved previously.The altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. What is the area of the triangle, in square units
Answers
Answer:
6√3 square units
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...
3(2/√3) = 2√3 . . . . side AB in the attached figure
and
2·3 = 6 . . . . . . . . . . side AC in the attached figure
Then the area of the triangle is ...
A = 1/2bh
A = 1/2(6)(2√3) = 6√3 . . . . square units
Related Questions
Solve the equation 3x + 2 = x + 4(x +2)
Answers
Answer:
x = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityDistributive Property
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
3x + 2 = x + 4(x + 2)
Step 2: Solve for x
[Subtraction Property of Equality] Subtract x on both sides: 2x + 2 = 4(x + 2)[Distributive Property] Distribute 4: 2x + 2 = 4x + 8[Subtraction Property of Equality] Subtract 4x on both sides: -2x + 2 = 8[Subtraction Property of Equality] Subtract 2 on both sides: -2x = 6[Division Property of Equality] Divide -2 on both sides: x = -3Answer:
x=-3
Step-by-step explanation:
3x+2=x+4(x+2)
3x+2=x+4x+8
3x=5x+6
3x-6=5x
-6=2x
x=-3
Nachelle is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 23.05 meters. She stands 18.9 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answers
Step-by-step explanation:
this creates 2 similar triangles.
that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
her shadow is 23.05 - 18.9 = 4.15 m long.
the factor between the shadow lengths is then
4.15 × f = 23.05
f = 23.05 / 4.15 = 5.554216867...
the same factor now applies to the relation of the heights :
1.45 × 5.554216867... = 8.053614458... m
rounded the tree is 8.05 m tall.
0.326
In word form and stranded form please help!!?! I am taking things that are from 4th grade ahh I can't even remember anything from then. please help me word form and stranded form.
Answers
Answer:
three hundred twenty six thousandths
What is the domain of the function
y = √x
Answers
Answer:
[tex]0\leq x<\infty[/tex]
Step-by-step explanation:
The function [tex]y=\sqrt{x}[/tex] is not defined for negative numbers in the domain as they produce non-real results. Therefore, all positive numbers including 0 are included in the domain, so the domain of the function would be [tex]0\leq x<\infty[/tex].
I've attached a diagram to help you visualize the domain.
Explain why the square root of a number is defined to be equal to that number to the 1/2 power.
Answers
Answer:
This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out. Hope this helped <3
Help for 100 points if correct
Answers
Saved:-
[tex]\\ \sf\Rrightarrow 2\dfrac{1}{4}-\dfrac{3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{9}{4}-\dfrac{3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{18-3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{15}{8}[/tex]
[tex]\\ \sf\Rrightarrow 1\dfrac{7}{8}[/tex]
Answer:
[tex]\textsf{D)} \quad 1 \dfrac{7}{8}[/tex]
Step-by-step explanation:
Subtract the used volume of punch from the starting volume of punch.
Convert the mixed number to an improper fraction:
[tex]\begin{aligned} \implies 2\frac{1}{4}-\frac{3}{8} & = \dfrac{2 \times 4+1}{4}-\dfrac{3}{8}\\\\ & = \dfrac{9}{4}-\dfrac{3}{8}\end{aligned}[/tex]
Make the denominators of both fractions the same by multiplying the numerator and the denominator of 9/4 by 2:
[tex]\implies \dfrac{9 \times 2}{4 \times 2}-\dfrac{3}{8} = \dfrac{18}{8}-\dfrac{3}{8}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]
[tex]\begin{aligned} \implies \dfrac{18}{8}-\dfrac{3}{8} & = \dfrac{18-3}{8}\\\\ & = \dfrac{15}{8}\end{aligned}[/tex]
Convert back into a mixed number:
[tex]\begin{aligned}\implies \dfrac{15}{8} & = \dfrac{8+7}{8}\\\\ & = \dfrac{8}{8}+\dfrac{7}{8}\\\\ & = 1\dfrac{7}{8}\end{aligned}[/tex]
The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?
_____meters by ____ meters
PLEASEE HELPP MEE PLEASEEEE!
Answers
Half the perimeter is the length + the width
62/2 = 31
Area = length x width
16 + 15 = 31, 15 x 16 = 240
17 + 14 = 31, 17 x 14 = 238
20 + 11 = 31, 20 x 11 = 220
Answer: 20 meters x 11 meters
Help
Activity:
2x²2+2x-312=0
Answers
Answer:
Step-by-step explanation:
what is 36×82×58+38?
Answers
Answer:
171,254
Step-by-step explanation:
calculate it
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Find the 60th term of the following sequence.
4, 8, 12,
Answers
Answer:
240
Step-by-step explanation:
You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose mixture is more acidic?
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Answers
Answer:
You:If it’s was 6 cups of citric I’d be to 32 water
Your friend: if it was 4 cups it’d be 12 water
Step-by-step explanation:
I believe your friends is more acidic because your Is being diluted more
jim writes 10/4words evry day how many words does he write in 10/3 days
Answers
Answer:
10/4 per day (2.5 words simplified)
10/3 days he wrote so far (around 3 days simplified)
so in order to find out how much he wrote in total multiply the two numbers together
2.5 x 3 = around 7.5 or 8 words
3. What percent of 150 is 15? Known: Unknown: the Equation:
Answers
Answer:
Look Below
Step-by-step explanation:
Now if you are looking what percent 15 is in 150, then it'll be 22.5%
Just Multiply 150 with 15 (add a 0. before adding the 15) then multiply 150 x 0.15, and you get 22.5, to which that is 22.5%.
Rewrite the expression as only multiplication and evaluate.
2
1 -
Answers
Answer:
72
Step-by-step explanation:
1 * 3/2 * (-8) * 3 * (-2)
3/2 * (-8) * 3 * (-2)
(-24/2) * 3 * (-2)
(-12) * 3 * (-2)
24 * 3
72
In ∆, AB = AC and ∠A = 1000
, then ∠B is
a) 200
b) 400
c) 800
d) 600
Answers
Answer:
D is the answer
brainlilest me
I will give brainliest!
Arwen created a copy of a certain line segment. What do you know is true about these two line segments?
1. The measure of the original line segment will be twice the measure of the copy.
2. The measure of the original line segment will be half the measure of the copy.
3. The endpoints will have the same letters.
4. They are congruent.
Answers
A copy of a line segment will have the same measure or length as the segment.
The true statement is (4) They are congruent.
From the question, we understand that a copy of the line segment is created.
This means that the new segment has the exact property as the original line segment.
Hence, both lines are congruent, and the true statement is (d)
Read more about line segments at:
https://brainly.com/question/3573606
If January 20 falls on a Tuesday, then February 15 of that same year falls on which day of the week? (January has 31 days)
Answers
Answer: Sunday
Step-by-step explanation:
The 27th would be tuesday
The 3rd would be tuesday
The 10th would be tuesday
The 15th would be sunday
write y= - 4x on a graph
Answers
NO LINKS PLEASE. 18 POINTS! WHAT IS THE ANSWER TO 5 and 6 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST
Answers
Answer:
#5 -1.75, 2.5, -0.2
#6 3 1/2, 2 1/4, -1/2
Step-by-step explanation:
Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)
HELPPP I NEED HELP
plzzz
Answers
1) 23
That's all I know lol
solve -(-7x+9)+(3x-1)=0
Answers
Answer: x = 1
Step-by-step explanation:
Find the component form of a vector.
Answers
Answer:
b
Step-by-step explanation:
Only like 5 or 6 more questions for the last question I’m doing 100 points
Answers
Answer:
700 foundations is the answer
Answer:
500 foundations
Step-by-step explanation:
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Identify the missing angle measure in a right triangle where one angle measures 12°.
168°
78°
Cannot be determined
88°
Answers
Answer:
78
Step-by-step explanation:
180-90-12=78
102 + missing angle = 180
Missing angle = 180 - 102
Missing angle = 78
Hope this helps!
Brainliest is much appreciated!
Mr. Bannon sells roses at a commission rate of 25%. What is his commission for selling 235 dozen roses, priced at $15.50 a dozen? NEED HELP IMMEDIATELY
Answers
Step-by-step explanation:
that means he gets 25% of the sales.
he sold 235 dozen roses for $15.50 per dozen.
so, the total sales was
235 × 15.5 = $3,642.50
100% = $3,642.50
25% = 100%/4 = $3,642.50/4 = $910.63 (rounded to cents)
A line has slope 56 and y–intercept −3.
Which answer is the equation of the line?
y=56x+3
y=−3x+56
y=56x−3
y=3x+56
Answers
Answer:
c
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
m=56
b=-3
y=56x-3
Fill in the blank for this graph.
Answers
Answer:
2.22
Step-by-step explanation:
Will mark brainliest for this question
Answers
Answer:
a
Step-by-step explanation:
It's the positive answer
PLEASE HELP!
Question 3 (Essay Worth 10 points)
(03.04 MC)The youth group is going on a trip to the state fair. The trip costs $62. Included in that price is $14 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answers
Answer:
One pass is $24
Step-by-step explanation:
14+2x=62
-14
2x=48\2
X=24
Answer: The person above's answer
Step-by-step explanation:
I did the test and it was right
How do you graph x less than -3 1/2
Answers
Answer:
Graph attached
Step-by-step explanation: