Part B
Calculate BD. Show your work. What does this length represent with regard to ∆ABC?
Answers
Answer:
4, It is the height of triangle ABC
Step-by-step explanation:
The easy way is to just count. But you can also use the Pythagorean theorem because BDC is a right triangle. First, use the distance formula to find BC. [tex]\sqrt{(5-2)^{2} +(-2-2)^2[/tex]=5
5^2=BD^2+DC^2
25=BD^2+9
BD=4
[tex]BD = \sqrt{89}[/tex],BD is the median of ∆ABC. A median is a line segment that joins a vertex of a triangle to the midpoint of the opposite side. In ∆ABC, BD divides the triangle into two smaller triangles that are congruent.
The length of BD can be calculated using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In the triangle shown, the hypotenuse is BD, and the other two sides are AB and BC. So, we can use the Pythagorean Theorem to write the equation:
BD² = AB² + BC²
We are given that AB = 5 and BC = 8. So, we can plug these values into the equation to get:
BD² = 5² + 8² = 25 + 64 = 89
Taking the square root of both sides, we get:
[tex]BD = \sqrt{89}[/tex]
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Related Questions
A box contains 3 black pens, 7 blue pens and 5 red pens. Without replacing the first pen,
what is the probability of pulling a red or blue pen?
Answers
Answer:12/15
Step-by-step explanation: first you add 7+5=12
then add 12+3=15
5. A certain company stock began at a starting price of $23
per share. After five weeks of trading, the new company
stock has changed price every week, x, according to the
function h(x) 25(0.93).
Which
to the
Which of the following is true?
A.
В.
F. The stock has increased by 93% of its original value.
C.
G. The stock has lost 7% of its value every week.
D.
H. The stock is worth $23.25 per share after five weeks.
J. The stock has more than doubled its original value.
Answers
Answer:
$ 35 .00
Step-by-step explanation:
..............................
necesito saber el valor que falta en esta fraccion 12/30 = ?/45
Answers
Answer:
28/45????????????????
Step-by-step explanation:
THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! THANK YOUUU!!! <33
Answers
Answer:
50.24
Step-by-step explanation:
The formula for area is pi · r²
But, because usually people want it simplified instead of a ton of decimal numbers following, pi is rounded to 3.14. And the radius in this case is 4. And the ² means squared, so we have to do 4 · 4 to square it.
So, now our formula is 3.14 · 4 · 4 which equals 50.24
The floor of Aisha’s rectangular bedroom has an area of 144 feet squared. Which are possible dimensions of her bedroom? Select three options. 14.4 ft by 10 ft 6 ft by 12 ft 8 ft by 9 ft 8 ft by 18 ft 9 ft by 16 ft
Answers
Answer: The correct options are
14.4 ft. by 10 ft.
8 ft. by 18 ft.
and 9 ft. by 16 ft.
I think.
Answer:
A. 14.4 ft by 10 ft
D. 8 ft by 18 ft
E. 9 ft by 16 ft
Step-by-step explanation:
I hope this helped
I have a question please answer it.
Answers
Answer:
A or B Ma'am or sir. Have an amazing day and good luck!!
Step-by-step explanation:
According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual. a. X ~ __N___(_66____,__2.5___) b. Find the probability that the person is between 65 and 69 inches. Include a sketch of the graph, and write a probability statement.
Answers
Answer:
0.54035
Step-by-step explanation:
Given that :
Mean, m = 66 inches
Standard deviation, s = 2.5 inches
P(65 < X < 69)
P(X < 69) - P(X < 65)
((69 - 66) / 2.5) - ((65 - 66) / 2.5)
P(Z <(3/ 2.5)) - P(Z <(-1 / 2.5))
P(Z < 1.2) - P(Z < - 0.4)
0.88493 - 0.34458
= 0.54035
What is the first step in solving quadraric equations by finding square roots??
Answers
Answer:
b I think. I think so yeah
Help please it’s my last questions
Answers
Answer:
The one u highlighted is correct. C.
Step-by-step explanation:
If u substitute -2 to 2x, it is -4. then substitute the second one -2 to-5y, it is +10. -4+10=6. Then for the second thing. Substitute 1 to 2x which is 2*1=2. Then substitute-4/5 to -5y which is +4. 2+4=6.
If f(x) = V7x + 31 , find f(0).
Answers
Answer:
f(0) = 31
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \sqrt{7x} + 31[/tex]
f(0).
This is the value of f when [tex]x = 0[/tex]. So
[tex]f(0) = \sqrt{7*0} + 31 = \sqrt{0} + 31 = 0 + 31 = 31[/tex]
So f(0) = 31
Which. Stem and leaf plot represents the data set below 56,113,89,85,96,104,65,67,72,88,97
Answers
Answer:
i think 88 sorry for puting under answer because i thin k ti's the answer and i dont get the question so i tried on a pieace of paper and i go this 88
Step-by-step explanation:
i think 88 sorry for puting under answer because i thin k ti's the answer and i dont get the question so i tried on a pieace of paper and i go this 88
Answer:
72
Step-by-step explanation:
hope it helps
i tried tp compute it on a piece of paper and 72 is the result
Find the exact value of x. Do the sides lengths form a Pythagorean triple?
Answers
Use Pythagorean theorem.
We have A and C.
Subtract 81 from 576 to get 495.
To find x, un square both sides to get
About 22.2485955
Or 22.2 or 22 depending if we round.
Please help, I'll give brainliest
Answers
Answer:
76+2x=90
2x=90-76
2x=14
x=14/2
x=7
Since it is a right angle the two angles added together should equal 90 degrees and 90-76 is 14 and 14 divided by 2 is 7
The store ordered small and large poster. 12 times as many small posters were ordered as large posters. How many more small posters were ordered than large posters.
Answers
Answer:
so how many large and small posters were there before they order 12 times the amount.
Step-by-step explanation:
The value of (3/4) ^6
Answers
Answer:
729/4096
Step-by-step explanation:
3^6/4^6 = 729/4096
A circular garden has a radius of 3.5 feet. Leslie is installing a fence around the edge of the garden using chicken wire and needs to know the circumference of the circular garden. What is the circumference of the garden?
A:10.99 ft
B:7 ft
C:38.47 ft
D:21.98 ft
Answers
Answer:
B: 7 ft
Step-by-step explanation:
the diameter is twice the radius
: 3.5 ft ×2
=7 ft
What is the solution to the following equation? 2(3x-7) +18= 10
A: 1
B: 3
C: 5
D: 6
Answers
Answer:
A:1
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we open the parentheses:
2*3x-2*7+18=10
Now we multiply:
6x-14+18=10
6x+4=10
Now we move +4 to the other side so it will be -4
6x=10-4
6x=6
We divide both sides by 6
x=1
Find the slope of the line passing through the points (3, 4) and (8, -3).
Answers
Answer: -7/5x
To find slope, you use the formula (THE FORMULA IS IN A PICTURE ATTACHED BELOW)
So by following this formula we would get
-3 - 4 -7
--------- = -----------
8 - 3 5
So the slope is -7/5x; BTW most teachers prefer if the answer is still in a fraction not a decimal because it is often easier to graph.
We want to find the slope of the line that passes through the points (3, 4) and (8, -3). We will see that the slope is equal to -7/5
We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is given by:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, we know that the line passes through (3, 4) and (8, -3), then the slope is just:
[tex]a = \frac{-3 - 4}{8 - 3} = \frac{-7}{5}[/tex]
So we can see that the slope of that line is equal to -7/5.
If you want to learn more, you can read:
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Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. How much was the commission?
Answers
Answer:
3.67
Step-by-step explanation:
Because, 9% is literally just 9/100
and when you multiply that by 245 then you get 3.67
Which ordered pair is a solution of 9(x – 2)2 – 4(y + 5)2 ≥ 36?
Answers
Answer:
C, (–7.5, –5)
Step-by-step explanation:
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
D
As
126
B
-С
Angles are not drawn to scale.
Enter
Answers
x=54°
Answer:
x+126=180 supplementary
x=180-126
x=54
Ed has 4 cards.
There is a number on each card.
12
6
15
?
The mean of the 4 numbers on Ed's cards is 10
Work out the number on the 4th card.
Answers
Answer:
7
Step-by-step explanation:
Let's call the missing card number "x".
The mean is the sum divided by the number of elements, so we know that:
[tex]\frac{12 + 6 + 15 + x}{4} = 10\\~\\12 + 6 + 15 + x = 40\\33 + x = 40\\x = 7[/tex]
The number on the 4th card is 7 according to the given question when The mean of the 4 numbers on Ed's cards is 10
To work out the number on the 4th card, we can use the information given about the mean of the four numbers.
Mean is calculated by summing all the values and then dividing by the number of values. In this case, the mean is 10 and there are four numbers.
Given:
Mean = 10
Number of cards = 4
To find the sum of the four numbers, we multiply the mean by the number of cards:
Sum of the four numbers = Mean * Number of cards
Sum of the four numbers = 10 * 4
Sum of the four numbers = 40
Now, let's find the number on the 4th card. We subtract the sum of the three known numbers from the sum of the four numbers:
Number on the 4th card = Sum of the four numbers - Sum of the three known numbers
Number on the 4th card = 40 - (12 + 6 + 15)
Number on the 4th card = 40 - 33
Number on the 4th card = 7
Therefore, the number on the 4th card is 7.
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Full question
Ed has 4 cards.
There is a number on each card.
12
6
15
?
The mean of the 4 numbers on Ed's cards is 10
Work out the number on the 4th card.
( No graph Needed)
In parallelogram ABCD if ZA equals 155° what is the measure of ZB
Answers
Answer:
25 degrees
Step-by-step explanation:
Because it is
Can u help me with this question?
Answers
Answer:
Step-by-step explanation:
im not sure if it is right,but here is my thought since its gonna be half first you do the 4x2x2=16 divide 16 by 2 witch will give you have of 16 witch will also give you 8
How many unique triangles can be drawn side lengths of 2 inches and 4 inches. With an angle of 40degrees between given sides
Answers
Answer:
hope it help mark me as a brill
Step-by-step explanation:
Hello it would be 3 squares
The answer is 1
If it takes 41 minuets for 9 people to paint 9 walls how many minuets will it take for 14 people to paint 14 walls
Answers
Answer:
considering the fact that each person paints 1 wall. as 9 person's paints 9 walls then we can say it takes 41 min to paint a wall by a person then
it would take 41 min to paint 14 wall by 14 person
So it will be the same
Answer is: 41 minutes
EZ POINTS 3.0
5+1=???
have funnnnn
Answers
Answer:
the answer is 6 for 5+1
Step-by-step explanation:
thanks :)
Somebody help me please whoever answers first get it thanks and 11 points
Answers
Answer:
time 0 1. 2. 3.
distance. 0. 60. 120. 180.
1.time and distance are the two main quantity.
2. distance depends on time
3.time
4. hours minutes seconds
5.distance miles metres kilometers
6.Time is always the independent variable. The other variable is the dependent variable (in our example: time is the independent variable and distance is the dependent variable).
7 multiplicative
8.miles per hours
9.rate= distance/time
rate*time=distance
(7x-10) (7x+5) (5x+55)
Answers
Answer:
245x^2+2520x^2−2175x−2750
Step-by-step explanation:
=((7x−10)(7x+5))(5x+55)
=((7x−10)(7x+5))(5x)+((7x−10)(7x+5))(55)
=245x^3−175x^2−250x+2695x^2−1925x−2750
=245x^2+2520x^2−2175x−2750
Hope it helps :)
Help plz I really need the answer
Answers
Answer:
52
Step-by-step explanation:
find the area of each individual piece
top and bottom dimensions are 4 X 3- so each one is 12 inches squared
the left and right side dimensions are 4 X 2- each one is 8
the front and back dimensions are 3 X 2 each one is 6
Surface area- add all together
12+12+8+8+6+6= 52 in squared