100 POINTS 100 POINTS 100 POINTS 100 POINTS I WILL MARK BRAINLIEST
JUST ANSWER CORRECTLY THE ANSWER 12 IS WRONG PLEASE GIVE THE RIGHT ANSWER
Answers
Answer:
Step-by-step explanation:
given tanB= 4/3
so sinB=4/5
n cosB=3/5
given BC=15
BA=BC*cosB
=15*3/5
=9
AC=BC*sinA
=15*4/5
=12
Triangle ABC and DBE are similar by AAA
DB= BA-AD
=9-3
=6
DB/BA=DE/AC
6/9=DE/12
DE=12*6/9
=8
Answer:
DE = 8
Step-by-step explanation:
ΔABC and ΔDBE are similar.
As they share the same angles, the sides are in proportion to each other.
Therefore, we can solve using ratios.
Tan trigonometric ratio
[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\sf \tan (B)=\dfrac{4}{3}[/tex]
Therefore:
[tex]\implies \sf \dfrac{DE}{BD}=\dfrac{AC}{BA}=\dfrac{4x}{3x}[/tex]
We know that BC = 15 and that AC : BA = 4x : 3x
Using Pythagoras' Theorem:
[tex]\implies \sf (3x)^2+(4x)^2=15^2[/tex]
[tex]\implies \sf 9x^2+16x^2=225[/tex]
[tex]\implies \sf x^2(9+16)=225[/tex]
[tex]\implies \sf x^2=9[/tex]
[tex]\implies \sf x=3[/tex]
Therefore,
⇒ AC = 4 · 3 = 12
⇒ BA = 3 · 3 = 9
Now we have found the length of BA, we can find the length of BD:
⇒ BD = BA - DA
⇒ BD = 9 - 3
⇒ BD = 6
As DE : BD = 4x : 3x and BD = 6 then:
⇒ 3x = 6
⇒ x = 2
Therefore, to find DE, substitute x = 2:
⇒ DE = 4x
⇒ DE = 4(2)
⇒ DE = 8
Related Questions
HELPP MEEE NOWWWWW :) THANKS
Answers
Easy!
4 units x 4 is
16
Answer:
Step-by-step explanation:
First, we need to find the hypotenuse, so we need to apply the equation from the Pythagorean Theorem
A^2+B^2=C^2.
We know A^2 and B^2, so we need to substitute that into the equation
2^2+4^2=C^2
so now, simplify.
4+16=C^2
20=C^2
Square root of 20 is about 4.5
so 4.5 is the length of the sides of the square.
4.5x4.5=20.25
In Triangle FGH, f = 65 inches, g = 48 inches and h=70 inches. Find the measure of Angle G to
the nearest degree.
Submit Answer
Answer:
Answers
Answer:41
Step-by-step explanation:
WILL GIVE BRAINLY
IM SO DUMN khans doesn’t make sense with this question to me cuz I did it already and it was apparently wrong
Answers
Answer:
20units
Step-by-step explanation:
which of the following represents the average rate of change of the function f(x) = 2x - 3
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Average rate of change, Correct Answer is (0,-3)
Please help me!! I don’t get this
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+150x
3y= 150x + 300
———————
3
y= 50x + 100
Help pls, answer choices listed also
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Answer:
A.
Step-by-step explanation:
Hi there!
By factoring the trinomial, we end with (x-9)(x-4)
However, we aren’t done yet. To find the zeros, set each expression equal to zero, so it looks something like this.
0 = x - 9
0 = x - 4
Using orders of operations, x = 9 and x = 4
Therefore, A is your answer.
I hope this helps!
Earth makes a full rotation every
24 hours, Noptune makes a full rotation
every 16 hours. What is the ratio of
Earth rotations to Neptune Rotations?
(in simplest terms)
Answers
Answer:
I think the ratio is 3:2 :)
Devin has a new job as an apple employee he is paid $16 per hour a one time bonus of $4,325. If he earns $4,997 on his paycheck, how many hours did he work
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$672 earnt / $16 per hour = 42 hours
Devin worked:
42 hours
Help pleaseee.........
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Answer:
you got me fu(c)ked up i dont even know how to do addititoe
Step-by-step explanation:
A triangle is dilated with the resulting image appearing half as large as the original. Which rule best represents this dilation?
A. (x, y) (2x, 2y)
B. (x, y) (.5x, 2y)
C.(x, y) (x-.5, y-.5)
D. (x, y) (.5x, .5y)
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Identify the transformation that was applied to this letter
A. Rotation about the origin
B. Reflection over the x-axis
C. Translation
D. Reflection over the y-axis
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What number is most likely to be expressed in scientific notation?
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Answer:
It's D. The speed of light
Step-by-step explanation:
The speed of light is so fast even infinite is smaller
John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs to maintain a ratio of pumpkin to green beans of 5 to 2. If he wants to use a total of 126 cans, how many cans of green beans should he use?
please help me lol
Answers
Answer:
90 pumpkin and 36 green beans
Step-by-step explanation:
Because there is a total of 7 parts (5+2) and I divided 126 by 7 and then put five of the 18ns (the quotient of 126 and 7) for pumpkins (so... multiply 18 by 5) then the other to times 18 is 36. And if you add them together, they equal 126.
Answer:
9 cans
Step-by-step explanation:
126/7=18
18/2=9
so 9 is the answer
(plz mark brainlyist)
There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the classroom?
Answers
Answer:
15 girls and 10 boys
Step-by-step explanation:
Answer:
students=35
ratio of girls to boys=2:3
2+3=5
girls.
⇒[tex]\frac{2}{5}[/tex]×35
⇒2×7
⇒14
boys
⇒[tex]\frac{3}{5}[/tex] × 35
⇒3×7
⇒21
Step-by-step explanation:
A company makes 100 bags.
41 of the bags have buttons but no zips.
32 of the bags have zips but no buttons.
22 of the bags have neither zips nor buttons.
How many bags have zips on them?
Answers
Answer:
37
Step-by-step explanation:
Bags that zips and no button = 32
Bags that have both zips and bags = 100-(41+32+22) = 5
Total bags that have zipz = 32+5 = 37
I hope im right!
help me with this pls
Answers
Answer:
m=76
Step-by-step explanation:
✔Answer this for extra 5+ Points and Brainiest [15+ Points] <---✔ and please give me the correct one if not I just report and get my points back
Answers
Answer:
there's no question
Step-by-step explanation:
1)
Given that r = 2 in and x = 3 in, determine the surface area of the cylinder. Round to the nearest tenth of an inch.
A)
25.1 in 2
B)
62.8 in2
C)
75.4 in2
D)
113.1 in 2
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Answer:
B) 62.8 in^2
Step-by-step explanation:
Thanks alot, and Is that right?
Which ordered pair is a solution of the system 3x+y=-3 and y=x+5?
a: (3,-2)
b: (-4/3, 1)
c: (-2, 3)
d: (-8/3, -3)
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Answer:
The correct answer is C. (-2,3)
Step-by-step explanation:
Hope this helps :)
if ur mom had 1 pie and subtracted one (A im a mistake B im not C my mom left or D im dad came with the milk
Answers
Answer:
oof
Step-by-step explanation:
Answer:
ez. Its obvi D :)
Step-by-step explanation:
What is the new location of the point (7,-8)
when it has been rotated 90 degrees?
Answers
Answer: The answer is A
Step-by-step explanation:
Describe the line below using slope and intercept.
y = 3/2x - 4
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2/5 (s + 20) pls help
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Answer:
2s/5 + 8
Step-by-step explanation:
if you wanted it simplified..
Solve the equations -5(x + 3) = 25. Write the problem on the sketch pad then solve the problem algebraically. I need the answer and how you work it out :)
Answers
Answer:
-8
Step-by-step explanation:
-5x-15=25
-5x=40
x= -8
Divide both side by -5
x+3= -5
Move the constant and change it to positive
x= -5-3
Then add the numbers because they have the same sign, and you’re answer will be
x= -8
Carmen donates every 11th can of soup she buys. If she buys 77 cans, how many will she donate?
Answers
Carmen will donate 7 cans.
How many times larger than 2x10^2 is 2x10^8
Answers
1000000 times larger
Step-by-step explanation:
2x10^2 is 200.
2x10^8 is 200000000
2x10^8 is 1000000 times larger that 2x10^2
It costs $16 for 8 specialty chocolates for Valentines Day. Find the unit rate 5 per item (how much for 1 chocolate).
Answers
Answer:
Unit Rate: 2$ per chocolate
If you're buying 5, it will cost $10
Step-by-step explanation:
Finding the unit rate:
16 ÷ 8 = 2
2 x 5 = $10
If you're talking about what happens if each chocolate cost $5 per item it would be
$5 x 8 chocolates = $40
I hope this helped! :)
PLEASE HELP IM BEGGING YOU I WILL GIVE BIRRELANSTAST
Answers
Answer:
A.)555 in.^2
Step-by-step explanation:
When solving these types of things, I usually like to cut it up into smaller, easier to manage shapes.
You can cut that trapezoid into two triangles and one rectangle.
Since both triangles are the same size, you don't need to divide the base and height by two, so you'll get the area of both triangles combined (which saves some work).
We know the length of the rectangle and bases of the triangle combined is 44 inches, and that the length of just the rectangle is 30 inches, so we can just subtract 30 from 44 and divide it by two for the base of a triangle.
44 - 30 = 14
14/2 = 7
Now that we filled in the information not listed, we can finally solve:
The base of one triangle is 7 inches, and the height is 15 inches.
Now, we just multiple and divide it by 2 for one triangle (it would be 52.5 inches).
But, we don't need to divide it by two because both triangles are the same size, so we can just get the sum of the area of both triangles combined by skipping that step (because triangles are half a square and two of those triangles make a full square).
7 x 15 = 105
The area of both triangles combined: 105 in.^2
Next, we need to solve the area of the rectangle. This is easy considering all you have to do is multiply 15 by 30 (length times width).
15 x 30 = 450
The area of the rectangle: 450 in.^2
Now, the final step. Addition. All you need to do is add up all the sums, and you're done.
450 + 105 = 555
The area of entire figure: 555 in.^2
NOTE: the symbol '^' represents exponents, so when you see 555 in.^2, it means inches squared (or to the power of 2)
The measures of the two acute angles of a right triangle are in the ratio 2:7. What are the measures of the two angles?
Answers
Answer:
20, 70
Step-by-step explanation:
9x=90
x=10
angles are 20 and 70
please mark as brainliest
I don't understand how to find the volume of these shapes.
Answers
Answer:
It tells you in the book all you have to do is plug the numbers in the right spots
These are the volumes that it gives you. All you have to do is plug in the numbers
v= 1/2bh
v= bh
v = Bh
Step-by-step explanation: