Answer:
F. [tex] \sqrt{39} [/tex]
Step-by-step explanation:
By geometric mean theorem:
[tex] {x}^{2} = 13 \times 3 \\ {x}^{2} = 39 \\ x = \sqrt{39} [/tex]
The value of x from the similar side triangles is x = √39
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔADC
Let the second triangle be ΔADB
Now , the side AD is the common side
The measure of ∠ADC = measure of ∠ADB = 90°
So , the triangles ΔADC and ΔADB are similar triangles
Now , corresponding sides of similar triangles are in the same ratio
So , AD / DC = BC / AD
x / 13 = 3 / x
Multiply by x on both side , we get
x² = 39
Taking square roots on both sides , we get
x = √39
Therefore , the value of x is √39
Hence , the similar triangles are solved
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PLEASE HELP!!! very confused
Answer:
Step-by-step explanation:
The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex] and so far we have that h = 0 and k = 0.
By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.
The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:
If h+c = 13 and h = 0, then
0 + c = 13 and c = 13.
We need that c value to help us find b:
[tex]c^2=a^2+b^2[/tex] and
[tex]13^2=5^2+b^2[/tex] and
[tex]169=25+b^2[/tex] and
[tex]144=b^2[/tex] so
b = 12. Now we're ready to fill in the equation:
[tex]\frac{x^2}{25}-\frac{y^2}{144}=1[/tex] and there you go!
Draw graphs of the following inequalities.
a.) X>3
Answer:
Step-by-step explanation:
Solve d−85=p for d .
Answer:
d = p + 85
Step-by-step explanation:
We don't have a lot to go on for this problem. We have two undefined variables.
In order to solve for d, we need to isolate it:
d - 85 = p
Add 85 to both sides
d = p + 85
Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589. You must show all of your work to receive credit.
PLSSS SHOW WORK <3
Answer:
x = 18
Step-by-step explanation:
First, let's find the ratios between the two triangles
We'll use AV and AC
372 ÷ 589 = 12/19
All of the sides of the smaller triangle are 12/19 of the bigger triangle
Now let's find x
We know that AU + UB = AB
So it's 20x + 108 + 273 = AB
12/19 of a bigger triangle side equals a small triangle side
(12/19)AB = AU
For this equation multiply both sides by 19/12 to isolate AB
(12/19)AB x 19/12 = AU x 19/12
AB = (19/12)AU
Now we have this
20x + 108 + 273 = (19/12)(20x + 108)
20x + 381 = (19/12)(20x + 108)
Distribute the 19/12
20x + 381 = 95/3x + 171
Move all like terms to one side
20x + 381 = 95/3x + 171
- 171 - 171
20x + 210 = 95/3x
- 20x - 20x
Don't forget about common denominators
210 = 95/3x - 60/3x
210 = 35/3x
Multiply both sides by 3
210 x 3 = 35/3x x 3
630 = 35x
Divide both sides by 35
630/35 = 35x/35
x = 18
Answer:
Step-by-step explanation:
[tex]\frac{20x+108}{20x+381}[/tex] = [tex]\frac{372}{589}[/tex]
589( 20x + 108 ) = 372( 20x + 381 )
11780x + 63612 = 7440x + 141732
4340x = 78120
x = 18
I need help on this A box contains 3 red, 4 green, and 3 yellow balls. If a ball is drawn at random, find the probability that the ball is red.
Answer:
3/10
Step-by-step explanation:
3 red, 4 green, and 3 yellow balls = 10 balls
P(red) = number of red balls / total balls
= 3/10
-8n+34=6(5+4n) help please
Answer:
n=1/8
Step-by-step explanation:
-8n+34=6(5+4n)
We move all terms to the left:
-8n+34-(6(5+4n))=0
We add all the numbers together, and all the variables
-8n-(6(4n+5))+34=0
We calculate terms in parentheses: -(6(4n+5)), so:
6(4n+5)
We multiply parentheses
24n+30
Back to the equation:
-(24n+30)
We get rid of parentheses
-8n-24n-30+34=0
We add all the numbers together, and all the variables
-32n+4=0
We move all terms containing n to the left, all other terms to the right
-32n=-4
n=-4/-32
n=1/8
Answer:
n= 0.125 or 1/8
Step-by-step explanation:
Distrubute 6 into (5+4n). It should give you 30+24n.
The equation should now look like this: -8n+34=30+24n.
Swap -8n with 30, giving -30+34=8n+24n. Add the numbers and the pronumerals together.
Now it will look like 4=32n. Divide the numbers, but unfortunately the number is small so the answer will have to be a decimal or a fraction. So it's 0.125 or 1/8.
If I didn't explain everything or something is wrong, please comment. I just signed up, so it's my first time using this.
Help with this question please!
Answer:
Step-by-step explanation:
6cos^2(x) + 7cos(x) +2 = 0
Call cos(x) = y to change this to something a little bit more familiar.
6y^2 + 7y + 2 =0
This equation is a quadratic. Solve it first. Then we'll go back to solving for cos(x)
This equation factors into 2 possible answers
(3y + 2)(2y + 1) = 0
3y + 2 = 0
3y = - 2
y = - 2/3
2y + 1 = 0
2y = - 1
y = - 1/2
Now let's start with
cos(x) = - 1/2
That means that x is in quadrant two or three.
cos-1(1/2) = 60 degrees.
Quad 2: x = 180 - 60 = 120
Quad 3: x = 180 + 60 = 240
Now cos(x) = - 2/3
cos-1(2/3) = 48.19
Quad 2: x = 180 - 48.19 = 131.81
Quad 3: x = 180 + 48.19 = 228.19
Find the area of the triangle
Answer:
Step-by-step explanation:11/2x(8-4)=22
What is the approximate radius of a sphere with a volume of 34 cm3?
A. 6 cm
O O
B. 2 cm
C. 8 cm
D. 4 cm
SUBMIT
Answer:
the answer is B.
Step-by-step explanation:
it is not A is because if the radius is 6 then the volume will be 904.32
the answer is B.
because is the radius is 2 cm then the area I calculate with this radius is 33.4933333333 and the question want the approximate radius and out of all the numbers this one is the closest so the answer is B
Four thousand runners began the marathon. Eighty-nine percent of them completed the run. What percentage of the runner finished the marathon?
Answer:
3560 people.
Step-by-step explanation:
You have to do 89% × 4000.
Or 0.89×4000=3560.
So 3560 is the answer.
I need help ASAP!! Please explain how to solve the problem
Answer:
B=.5*8*6=.5*48=24
h = 8
P=10+6+8=24
Surface area =2*24+24*8=48+192=240
Step-by-step explanation:
The base is a triangle, and the area of a triangle is 1/2 base (or width) times height (or length). In this case, base is 8 and height is 6, so the area can be found either by multiplying .5*8*6 or by dividing 8*6 by 2, either of which will give you the same answer of B=24.
Height is given, h=8.
Perimeter is simply the sum of the sides, which are given, so the perimeter is 8+6+10=24.
The formula for surface area is given, so all you need to do is plug in your previous answers and you've got it!
Your neighbor pays $40 to have her lawn mowed and always adds a 15% tip. You and your friend decide to mow the lawn together and split the earnings evenly.
How much will each of you make?
Answer:
$23
Step-by-step explanation:
A 15% tip on $40 is $6. The total you and your friend will receive is $46. When you split that evenly, you will each receive $23.
Cost of Mowing = $40
Tip = 15%
= 15/100×40
= $6
So you get $40 + $6
= $46
When you divide it in 2 people
= 46/2
= $23
Therefore each of you will make $23
Must click thanks and mark brainliest
How do you solve part c
the unit are ???
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Write 128 as a product of its prime factors
Answer:
The prime factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2.
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
We are planning a reception for our daughter. The hall that we are renting charges a $50 cleanup fee. In
addition to the cleanup fee, they charge $20 per guest for food and drinks.
If we have $3,700.00 available, what is the maximum number of guest we can invite without going over ou
budget?
Answer:
The answer is 235
Step-by-step explanation:
it's just basic long divistion.
the sides of this right triangle are 18 inches and 24 inches in length.
how long would the hypotenuse of this triangle be?
Answer:
30
Step-by-step explanation:
[tex]c^{2} = b^{2} + a^{2} \\[/tex] = formula
a = 24
b = 18
576+324 = 900
do [tex]\sqrt{900} \\[/tex]
= 30
A student was conducting a study to determine how many pagos he would need for the book he is writing. So, he found that the following number of words fit on each type of the following papers using an 11 point font:
The student looks up the word count on his favorite book, if the book has pages that are 5.5 in. x 6.5 in. and 67,062 words how many pages is the book?
Answer:
224 pages
Step-by-step explanation:
The book has pages that are 5.5in x 6.5 in (which holds 300 words)
There are a total of 67,062 words
Equation:
67,062 / 300 = total number of pages
67,062 = 223.54
That means 224 pages, because the last page is partially filled.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
2. If you move 50 meters in 10 seconds, what is your speed?
Answer:
5 meters per second
Step-by-step explanation:
Find your speed by dividing the number of meters traveled by the number of seconds it took:
50/10
= 5
Your speed is 5 meters per second.
Answer:
5 m/sec
Step-by-step explanation:
The speed would be calculated as follows, as a unit rate:
50 m
----------- = 5 m/sec
10 sec
Which models show 60%? Check all that apply.
Answer:
OPTION A AND B.
AS OPTION A IS 3/5=6/10=60%
Option C=60/100=60%
Answer:
the first and the last option
Step-by-step explanation:
In the first option 3/5 of the rectangle are filled in. if you divide 3 by 5, you will get 0.6, which when converted in to percent is equal to 60%
3/5 = 0.6
0.6 = 60%
*to convert decimals into percent, you just have to move the decimal point 2 places to the right and add the present sign*
in the second option 5 out of the 10 rectangles inside the square are filled in. that means that 5/10 of the square are filled in, the model shows 50%
5/10 = 1/2 = 0.5 = 50%
in the third model 6 out of the 10 rows in the square are filled in. that means that 6/10 of the square are filled in which is equal to 60%
6/10 = 0.6 = 60%
hope this helps! if you have any questions, let me know!
The area of a square is given as (s³)6.
What is its perimeter?
Answer:
hi friends good evening
The ratio of the corresponding dimensions of two similar parallelograms is 3.1. The
ratio of the base to height for each parallelogram is 5:4. If the height of the smaller
parallelogram is 100, what is the base of the larger parallelogram?
A А
125
В.
240
C.
300
D.
375
If ram have 30 apple& each apple rs is 26 . 14 are rotten .he had eat 9 apple. 6 apple he sold each price 35 . Now say me ram have got profit or loss.
Answer:
Profit
Step-by-step explanation:
30*26
14*26
9*14
6*26*30
Quick help with answers please!!
Answer:
x=pi/8 and 7pi/8
Step-by-step explanation:
2cos(2x)=sqrt(2), cos(2x)=1/sqrt(2). 2x=pi/4 and 7pi/4, x=pi/8 and 7pi/8
Decrease 4,500 by 18%.
Answer:
5,310.
Step-by-step explanation:
Answer:
3690
Step-by-step explanation:
Simplify 18% to 0.18
4500-(4500×0.18)
4500-810
=3690
WILL MARK BRAINLIEST IF CORRECT!!!!!!!!!!!!!!!!!!!!
How many times will the digit '3' appear if we write all whole numbers from 1 to 9999?
100 point!!!!!!!!!!!!!!!!!
(Will report if answer is not mathematical)
Answer:
4000 timesStep-by-step explanation:
The numbers from 1 to 9999 can be shown in the form of:
3xyz, x3yz, xy3z. xyz3Each of x, y, z represent the digits from 0 to 9, so 10 ways each.
For each of the forms we have:
10*10*10 = 1000 ways andTotal of:
1000*4 = 4000 waysBy the way this is applicable to any digit.
Max number of digits=4
Their can be 4ways to represent
Each form can repeat 3
(9999+1)/101000Total repeating
1000(4)4000times100÷50000 it's has to be step by step aka show work
100÷50000 can be written as 100/50000, then cancel out 2 of the zeroes, and you will get 1/500 or 0.002 as your final answer.
everything I do is not right help please
49 - 2/3 x = 32 - 1/6 x
Move the constant terms to one side and the terms containing x to the other:
49 - 32 = 2/3 x - 1/6 x
Simplify the left side, and pull out the common factor of x on the right side:
17 = (2/3 - 1/6) x
Write the fractions in terms of a common denominator. In this case, you would take
2/3 = 4/6
so that
(2/3 - 1/6) x = (4/6 - 1/6) x = 3/6 x = 1/2 x
Then the equation is
17 = 1/2 x
Multiply both sides by 2:
2 × 17 = 2 × 1/2 x
34 = x
a^n = 5, 10, 15, 20, 25…
A1=
Answer:
a1 =5
Step-by-step explanation:
an = 5,10,15,20,25......
a1 is the first term
a1 =5
Which of the following values are in the range of the function graphed below? Check all that apply
Answer:
B
-10-10=20
10+10=20
20/20=0
Pine Lane Middle School's student council has 10 seventh graders and 8 eighth graders serving as representatives. A subcommittee containing 3 seventh graders and 3 eighth graders is formed to organize a student dance. How many different subcommittees can be formed
Hey there! I'm happy to help!
When dealing with picking things and finding the number of possibilities, we can be dealing with two different types of things: permutations or combinations. We use permutations when order is important to the groups and we use combinations if order is not important.
It appears here that order is not important here as the subcommittee doesn't have to be in a specific order, so we will be using combinations.
So, we have ten seventh graders to choose from. Then we will have 9, and then 8. So, we multiply these numbers of choices.
10×9×8=720
Now, we need to divide by 6. This is to show that order doesn't matter. Why? Because there are 6 possible ways to organize 3 seats on the committee (3×2×1), and we want to divide out all of the different orders so it is just the specific group of people and not their different organizations that are counted.
720/6=120
Now, we need to find this with the eighth graders.
8×7×6=336
And we divide by the number of seats factorial (3 seats for the eighth graders, so 3×2×1=6 again)
336/6=56
Now, we multiply our numbers for seventh and eighth graders to find all off the possibilities.
120×56=6720
So, there are 6720 subcommittees possible.
Have a wonderful day and keep on learning! :D
