In right △ABC altitude overlineBD is drawn to hypotenuse overline{AC} If AD = 5 and BC = 2√ 21, find DC, BD, and ABAB.
Answers
Answer:
[tex]\overline {DC}[/tex] = 7
[tex]\overline {BD}[/tex] = √35
[tex]\overline {AB}[/tex] = 2·√15
Step-by-step explanation:
Please find attached the drawing of right triangle ABC created with MS Visio
Let 'x' represent [tex]\overline {BD}[/tex] let 'y' represent [tex]\overline {DC}[/tex], and let 'z' represent [tex]\overline {AB}[/tex], we get;
5² + x² = z²...(1)
x² + y² = (2·√21)² = 84
x² + y² = 84...(2)
84 + z² = (5 + y)²...(3)
From equation (1), we have;
x² = z² - 5²...(4)
From equation (2), and equation (4), we have;
x² + y² = 84 = (z² - 5²) + y² = 84
∴ z² = 84 - y² + 5² = 109 - y²
z² = 109 - y²...(5)
From equation (3), and equation (5), we have;
84 + z² = (5 + y)² = 84 + (109 - y²) = (5 + y)²
84 + (109 - y²) = (5 + y)²
(5 + y)² - (84 + (109 - y²)) = 0
2·y² + 10·y - 168 = 0
y² + 5·y - 84 = 0
y = (-5 ± √(5² - 4 × 1 × (-84)))/(2 × 1)
y = 7, or y = -12
We note that 'y' is a natural number, therefore, the correct option of the two options is y = 7
y = [tex]\overline {DC}[/tex] = 7
From equation (2), we have;
x² + y² = 84
x² = 84 - y² = 84 - 7² = 35
x = √35
x = [tex]\overline {BD}[/tex] = √35
z² = 109 - y²
∴ z² = 109 - 7² = 60
z = √60 = 2·√15
z = 2·√15
z = [tex]\overline {AB}[/tex] = 2·√15.
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Answer:
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The following table shows how much Dave gave each of his kids for allowance last month Find the median allowance
Answers
Answer:
7
Step-by-step explanation:
1. arrange the numbers from smallest to biggest
2. cross on each side until you reach a middle number
3. if there's two digits , add them both and divide by two
Answer:
7
Step-by-step explanation:
Trinian mailed a box to her aunt The base of the box was a square with a side length of 20 inches. The box was 10 inches tall. Which of the following was the volume of the box? A. 2.000 in В. 4,000 in 200 in D 1,350
Answers
Answer:
the shape of the box is a rectangular prism.The way to solve this is by using the formula V=l*w*h
we only have 20(l) and 10(h) so here's a clue it said that the base of the box was squared so the width would also be 10 in. so....
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₃
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Step-by-step explanation:
Please help. I’ll mark you brainliest. But no link andwers
Answers
Answer: y = -2x + 6
Slope-intercept form: y = mx + b, where m = slope and b = y-int
m = -2
(-1, 8) --> -1 = x₁, 8 = y₁
Based on the slope and given point, use oint-slope form, y - y₁ = m(x - x₁), to find the slope-intercept equation:
y - 8 = -2[x -(-1)]
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Answer all questions in the spaces provided
17
Beth drives 300 miles in 6 hours.
She drives the first 36 miles at an average speed of 72 mphene om
Work out her average speed for the rest of the journey.
Answers
Answer:
nako ni gwapa ko
thankyouuuuu
Help me pls!!! I will give brainleiest
Answers
Answer:
D
Step-by-step explanation:
this is because it is closed circle so the underline for the inequality sign must be required and it points to everything less than 2 so the ineqaulity sign will go to 2 as it is bigger than x
i dont undersyand jnjnjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiin
Answers
Answer:
no 36x is not a solution the answer is 36/9=4
Step-by-step explanation:
you plug in 36 for x and then divide by 9
what is the sum of -7/18 and - 3/6 A) 4/9 B)-8/9 C) 4/9 D) 8/9
Answers
Answer:
B) -8/9
Step-by-step explanation:
multiply - 3/6 by three to have the same denominator as -7/18 so that they can add up
=> -9/18 + (-7/18) = -16/18 = -8/9
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-3x^2+239x-2268
y=−3x
2
+239x−2268
Answers
Answer:
The link is a virus don't search it
Step-by-step explanation:
Answer:
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-3x^2+239x-2268
y=−3x
2
+239x−2268
The weather man says that the temperature is going to drop 5 degrees each day for the next 4 days. How much has the temperature dropped on the third day?
Answers
Answer:
hi
Step-by-step explanation:
i think 15
hope it helps
have a nice day
Answer:
15 degrees
Step-by-step explanation:
Because each day it drops 5 degrees, so for three days that will be 5x3 and the answer will be 15
OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-
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Answer:
2/5 bucket
Step-by-step explanation:
1/2 and 3/4 are equal. So 2/5 is wrong.
hope this helped, and please mark as Brainliest <3
A number b times 12 is at least 17.
Answers
Answer:
12 times 1
Step-by-step explanation:
Emergency help please
Answers
Answer:
x = 91
Step-by-step explanation:
y = 130
The supplementary angle with y is 50
z = 321
360 - 321 = 39
Interior angles:
50 and 39 and x
To find x:
x + 50 + 39 = 180
x + 89 = 180
x = 180 - 89
x = 91
Alonso is a waiter at a restaurant. Each day he works, Alonso will make a guaranteed
wage of $30, however the additional amount that Alonso earns from tips depends on
the number of tables he waits on that day. From past experience, Alonso noticed that
he will get about $8 in tips for each table he waits on. How much would Alonso
expect to earn in a day on which he waits on 20 tables? How much would Alonso
expect to make in a day when waiting on t tables?
Answers
Answer:
20 tables= 190
earining for t tables: 30+8t
Step-by-step explanation:
Which of the following are valid names for the triangle below? Check all that apply.
Answers
Below is how you insert a picture
A tire on a vehicle has a diameter of 30in. As it moves down the
road it makes 50 full revolution. What is the approximate distance
it traveled?
Answers
Answer:
94.25 in
Step-by-step explanation:
In one revolution, the tire moves a distance equal to its circumference. If the diameter is 30 in, the radius is half of that, 15 in. Circumference is 2 pi times the radius:
[tex]C=2\pi r= 2\pi (15) = 30\pi \approx 94.25 \text{ in.}[/tex]
What is the volume, in cubic in, of a rectangular prism with a height of 9in, a width of 4in, and a length of 5in?
Answers
Answer:
The volume is 180 in
Step-by-step explanation:
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre. The volume of a container is generally understood to be the capacity of the container;
Answer:180
Step-by-step explanation:
Can someone help please help me with this math problem please:)
Answers
Answer:
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Step-by-step explanation:
(10)(19) + (11)(18) = 388 in²
Answer:
388 in²
Step-by-step explanation:
The upper rectangle (the big one) is 30 in long and 10 in wide. Thus, its area is the product of these two measurement: 300 in².
The lower rectangle is 8 by 11 inches, or 88 in²
The total area of the figure is 388 in²
8 3/4 + 9 5/9=
with working?
Answers
8 3/4 + 9 5/9 Add 8 and 9
17 + 3*9/4*9 + 5*4/9*4 Find common denominator
17 + 27/36 + 20/36 Add
17 + 47/36 Convert into mixed fraction
17 + 1 11/36 Simplify mixed fraction
18 11/36. Answer
If you need the decimal form, it is 18.31. But other than that, the answer is 18 11/36.
Can somebody please help
Answers
Step-by-step explanation:
x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰
x = 60⁰...
Pameton a
Function A
Function B
y = -x2 + 6x - 1
Scientific
Calc
Consider the two functions. Which statement is true?
A)
Highlight
Time
Remaining
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The maximum for function A is greater than the maximum for function B.
B)
The maximum for function B is greater than the maximum for function A.
The minimum for function A is greater than the minimum for function B.
D)
The minimum for function B is greater than the minimum for function A
Answers
which expressions are equivalent to 5/7x +5?
Answers
Answer: You could do 7x+5 over 5, like a fraction. Or you could do 5/7 (x+5). I take the slash as a fraction so..
Hope it helps
what is the use of yellow card in the game of football
Answers
A yellow card is used to warn a player to behave after an aggressive or a non-deliberate violent act, and there is no immediate punishment. If a player receives two yellow cards in the same match, however, forming one red card, they are then dismissed from the pitch.
A 7-pack of ice cream bars costs $3.36. What is the unit price?
Answers
Answer:
$0.48
Step-by-step explanation:
3.36/7=0.48
what’s the upper and lower bound of 3.115
Answers
Answer:
its not bounded
Step-by-step explanation:
if a sequence is bounded both above and bounded below then we say its bounded. we can only conclude that 3.115 is either upper bound or the lower bound.
pls answer quickly, ill give u brainly .
Why was the Tet Offensive considered a turning point in the Vietnam War? Check all that apply.
◯The US and South Vietnam reclaimed towns that were attacked.
◯President Johnson decided not to run for reelection.
◯Americans wanted the war to continue in Vietnam.
◯US confidence in winning the war was weakened.
◯Fighting communism was easy for troops in Vietnam.
Answers
Answer:
Its A, B, and D.
Step-by-step explanation:
The Tet Offensive considered a turning point in the Vietnam War because:
The US and South Vietnam reclaimed towns that were attacked.President Johnson decided not to run for reelection.US confidence in winning the war was weakened.What happen in Vietnam war?Troops from the United States and South Vietnam targeted North Vietnamese and Viet Cong hideouts in Cambodia and Laos.
Although being a military defeat, the Tet Offensive was a stunning propaganda win for communists. In fact, it is frequently regarded for changing the tide of the war in their favour.
As Viet Cong rebels invaded rural areas previously held by the South Vietnamese government, the South Vietnamese began to lose authority.
Despite tremendous deaths, North Vietnam secured a strategic triumph with the Tet Offensive, which represented a watershed moment in the Vietnam War and the start of the protracted, agonising American withdrawal from the region.
Learn more about Vietnam War here:
https://brainly.com/question/11375126
#SPJ3
A 7-pack of movie tickets costs $41.84. What is the unit price, rounded to the nearest cent?
per ticket
Submit
Answers
Answer:
$5.98
Step-by-step explanation:
Unit price is the cost of a single ticket
41.84/7=5.98
Answer:
$5.99
Step-by-step explanation:
41.84/7= 5.98571429 = 5.99
In the data set below, what is the mean absolute deviation? 38147 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD):
Answers
Answer:
2.32
Step-by-step explanation:
Given the data:
3, 8, 1, 4, 7
The mean absolute deviation (MAD) :
Σ|x - m| / n
Mean, m = Σx / n
Σx = 23
n = 5
Mean, m = 23 / 5 = 4.6
|3 - 4.6| + |8 - 4.6| + |1 - 4.6| + |4 - 4.6| + |7 - 4.6|
(1.6 + 3.4 + 3.6 + 0.6 + 2.4) / 5
= 2.32
In the rectagular prism shown below, GH is parallel to EF. If the equation of GH is 6y-x=2, could the equation of EF be 4=y-1/6x? Explain your reasoning.
Answers
Answer:
Yes
Step-by-step explanation:
Given
GH:
[tex]-6y - x = 2[/tex]
Required
Can EF be
[tex]4 = y - \frac{1}{6}x[/tex]
First, we determine the slope of GH
[tex]-6y - x = 2[/tex]
Solve for 6y
[tex]6y = -x - 2[/tex]
Solve for y
[tex]y = -\frac{1}{6}x - \frac{2}{6}[/tex]
[tex]y = -\frac{1}{6}x - \frac{1}{3}[/tex]
An equation has the form:
[tex]y =mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = -\frac{1}{6}[/tex]
Next, determine the slope of EF
[tex]4 = y - \frac{1}{6}x[/tex]
Make y the subject
[tex]y = -\frac{1}{6}x + 4[/tex]
The slope is:
[tex]m = -\frac{1}{6}[/tex]
Compare the slopes of both lines.
[tex]m=m = -\frac{1}{6}[/tex]
Since they have the same slopes, then the equation of EF is possible
Can someone plzzzzz help me with number 8
Answers
Answer:
An example of complementary angles would be Angle FA and Angle EF
Step-by-step explanation:
These angles add up to 90 degrees
Hope this helps!
Answer:
∠AGF and ∠FGE, or ∠BGC and ∠CGD
Explanation
complementary angles are any angles which add up to 90°. since ∠AGB is a right angle according to the diagram, and AGD as well as BGE are straight lines (assumption), ∠DGE is also equivalent to 90° (opposite angles).
thus, the sum of ∠AGE and ∠BGD would be 90° each, so we know that ∠AGF and ∠FGE or ∠BGC and ∠CGD each add up to 90°.
i hope this helps! :D