Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 14
and DC = 7, what is the length of BC in simplest radical form? (Note: the figure is
not drawn to scale.)
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Related Questions
El lote rectangular de mi casa tiene 8m mas de profundidad que de frente y para cercalo necesitamos 46m ¿cuales son las dimensiones del lote?
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Answer:
Profundidad 1= 15,5 metros
Profundidad 2= 15,5 metros
Frente 1= 7,5 metros
Frente 2= 7,5 metros
Step-by-step explanation:
Suma todo y da 46 metros que es la medida de la cerca.
resta la profundidad con el frente y da 8 metros que es la diferencia o los metros más.
:)
For f (x) = 3x +1 and g(x) = x2 - 6, find (ff + g)(x).
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Given:
The two functions are
[tex]f(x)=3x+1[/tex]
[tex]g(x)=x^2-6[/tex]
To find:
The function (f+g)(x).
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
Putting the values of given functions, we get
[tex](f+g)(x)=3x+1+x^2-6[/tex]
[tex](f+g)(x)=x^2+3x+(1-6)[/tex]
[tex](f+g)(x)=x^2+3x-5[/tex]
Therefore, the required function is [tex](f+g)(x)=x^2+3x-5[/tex].
Sam mixes 8 cups of cereal, 4 cups of pretzels, and 3 cups of nuts to
make a snack mix. How many 1/3-cup servings can he sell at a bake
sale? Write the equations needed to solve the problem. Then solve.
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Answer:
45 1/3 cups
Step-by-step explanation:
Let's solve your problem step by step.
It says that Sam has 8 cups of cereal, 4 cups of pretzels, an 3 cups of nuts.
Add all the amount of food together.
8 + 4 + 3 = 15 cups
That was the first equation. (Hint.)
The next equation is:
15 ÷ 1/3= 45
Find the slope of 8y-2x=10
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Answer:
1/4
Step-by-step explanation:
8y=+2x+10
Divide by 8
y=2/8x+10
Y=1/4x+10
y=mx+b
M= slope
Find an equation for the line that passes through the points (5,-5) and (-1, 4)
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Answer:
y = mx + b, so
y = -0.53x + 1.5
Step-by-step explanation:
1. Find the slope of the line. In his case, then the slope is [tex]\frac{-6}{9}[/tex], which converts to 0.53
2. Start part of the equation. y = -0.53 x
3. Find the y-intercept of the line. In this case, it is 1.5
4. Now, you can finish your equation. y = -0.53x + 1.5
The table shows ordered pairs of the function y=8-2x. What is the value of y when x = 8?
х
-3
-1
1
4
8
10
y
14
10
6
0
?
-12
Answers
Answer:
-8
Step-by-step explanation:
for this, all you need to do is plug 8 into x for the equation y=8-2x
y=8-2(8)
y=8-16
y=-8
The value of y when x = 8 is,
⇒ y = - 8
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The table shows ordered pairs of the function as,
⇒ y = 8 - 2x
Now, At x = 8
The value of y is,
⇒ y = 8 - 2x
⇒ y = 8 - 2 × 8
⇒ y = 8 - 16
⇒ y = - 8
Thus, The value of y when x = 8 is,
⇒ y = - 8
Learn more about the function visit:
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graph the line with the slope 3 passing through the point (2,-1)
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Answer:
I can't draw at the moment but I'll try to teach how as best as I could.
Draw the Cartesian plane (x and y-axis)Locate the point (2, -1). To do this, go to x=2 then go down by 1 unit. Plot it or mark this point by a dot.Then from this dot, go 3 units to the right. After that, go up by 1 unit and mark that with a dot. By this time, you now have 2 dots.Connect them and that's it.At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla?
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Answer:
At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla?
I want to know only this question because I am not also so so I tell me
help as soon as possible
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Answer:
x=20°
y=75°
Step-by-step explanation:
2y + 3x-10= 180 (angles on a straight line add to 180)
3x-10+5x+30=180 (corresponding angles on parallel lines are equal, angles on a straight line add to 180)
solve both equations and you get the answer :)
Which statement about the simplified binomial expansion of (a – b)n, where n is a positive integer, is true?
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Answer:
A on Edge 2021 ;))
Step-by-step explanation:
All terms of the expansion are positive.
The true statement is all terms of the expansion are positive.
What are binomial expansions?Binomial expansions are expansions of expressions that have two terms
The expression is given as:
[tex](a - b)^n[/tex]
This means that the expression (a - b) is to be multiplied by itself, n times.
Hence, all terms of the expansion are positive.
Read more about binomial expansions at:
https://brainly.com/question/11014243
London's family took a road trip to the Grand Canyon. London fell asleep 61% of the way through the trip. If London fell asleep after they had travelled 305 miles, what was the total length of the trip?
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Answer: 782.05 miles.
Step-by-step explanation: Percentage is a ratio expressed as fraction of 100, in other words, 61% is represented as [tex]\frac{61}{100}[/tex] or 0.61.
London slept 61% of the journey, so it means he was awake for 39% of the journey. Now the total trip is [tex]\frac{100}{100}[/tex] or 1, so the relationship will be
0.39 ---- 305 miles
1 ----- x
[tex]x=\frac{305}{0.39}[/tex]
x = 782.05
The total length of the trip was 782.05 miles.
Answer: 500
Step-by-step explanation:
Increase £19060 by 9%
Answer in 2DP
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rectangle j is 6 feet wide and 9 feet long rectangle K is 9 feet wide and 12 feet long are the rectangle similar explain
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Answer:
NO, they are not similar.
Step-by-step explanation:
Width of rectangle J = 6 ft
Length of rectangle J = 9 ft
Width of rectangle K = 9 ft
Length of rectangle K = 12 ft
Find the ratio of their corresponding dimensions:
Ratio of their width = 6/9 = 2/3
Ratio of the length = 9/12 = 3/4
Their ratio of their corresponding dimensions are not equal. That is, their corresponding dimensions are not proportional to each other. Therefore, they are not similar.
Shen has to carry 316 apples from a farm to the market. How many baskets will he need, given that each basket can hold 43 apples?
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Answer:
he will need 8 baskets or 7.3
Can someone answer this ASAP PLEASE!
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---------------
(y-1)²(y+7)
What is cot(ZB)?
Reduce fractional answers to lowest terms.
A
25
24
с 7
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Answer:
cot∠B = 7/24
General Formulas and Concepts:
Math
SimplifyingTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cotθ = 1/tanθ = adjacent over oppositeStep-by-step explanation:
Step 1: Define
Angle θ = ∠B
Adjacent Leg = 7
Opposite Leg = 24
Step 2: Find
Substitute in variables [cotangent]: cot∠B = 7/24What 28 over 3 as a mixed number
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Mark me brainliest if this helps!
Have a good day
This is your outside number
You have one left so put it back in the fraction
9 and 1 over 3 is the answer
This filling cabinet is 26.5 in long. 15 in wide, and 52 in tall. What is the volume and surface area of this 3D shape?
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Surface Area = 3915 inches squared
Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool. If she can locate all of the information, how many names will Amanda record in the generation that is 5 generations before her?
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Answer:
Step-by-step explanation:
Amanda will record 32 names for the five previous generations.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.
We can write the series as -
Amanda
{M} {F}
{M} {F} {M} {F}
.
.
so on
We can write the sequence as -
2, 4, 8, ....
It is a geometric sequence. For n = 5, we can write -
a(5) = arⁿ⁻¹
a(5) = 2 x (2)⁴
a(5) = 2⁵
a(5) = 2 x 2 x 2 x 2 x 2
a(5) = 32
Therefore, she will record 32 names for the five previous generations.
To solve more questions on functions, expressions and polynomials, visit the link below -
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Suppose that 11 inches of wire costs 33 cents. At the same rate, how many inches of wire can be bought for 18 cents?
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Answer:6 inches
Step-by-step explanation:
11inch=33 cents
1 cent can buy 11/33= 1/3 inches
18 cents can buy 18 * 1/3 = 6 inches
Answer:
6in. = 18 cents
Step-by-step explanation:
1. Find out how many inches it costs for one inch ( 33/11 = 3)
2. divide 18 by 3 and get 6.
solve for m : -5m + 14 = 9
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wdgsvwrshgsgcAnswer:
Step-by-step explanation:
sadgsd
An economics professor gave her class two tests. 25% of the class passed both tests, and 48% of the class passed the first test. What percent of those who passed the first test also passed the second test? (Round to four decimal places)
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9514 1404 393
Answer:
52.0833%
Step-by-step explanation:
The conditional probability formula applies.
P(2|1) = P(2&1)/P(1)
P(2|1) = 0.25/0.48 ≈ 0.520833
About 52.0833% of those who passed the first test also passed the second.
_____
Comment on wording
As a fraction rounded to 4 decimal places, the value would be 0.5208 or 52.08%. This seems to ask for the percentage to be rounded to 4 decimal places, so it is 52.0833%.
Choose the explanation that shows why ΔADE is similar to ΔABC.
A. A dilation with center (0, 0) and scale factor 1/2 maps ΔABC to ΔADE.
B. A dilation with center (0, 0) and scale factor 2 maps ΔABC to ΔADE.
C. A translation 4 units right and 4 units up maps ΔABC to ΔADE.
D. A rotation 90° about the origin and a translation 2 units up maps ΔABC to ΔADE.
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First of all,
C. and D. are both incorrect because they apply translations to ABC; translations will misalign ADE with ABC.
Next,
A. is incorrect because a dilation of 1/2 will place D at (0,3) from its original point of (0,2). Also, the dilation will place E at (6,0) from its original point of (4,0). The triangle ADE would be too small to map ABC.
Finally,
B. Is the correct answer because a dilation of 2 will place D at (0,4)—where B is—and will place E at (8,0), where C is.
Choice B. maps ADE onto ABC
Sorry for that much information, but I think it’s useful. XD
Which of the following options 70
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d = 60ℎ + 20
car A is traveling from San Francisco. The distance in miles from San Francisco after H hours spent driving is described for the car below .
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Answer:
22.78hr
Step-by-step explanation:
the car is moving so fast
If L // M find the value of X. provide step by step explanation please
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Answer:
x = 29°
Step-by-step explanation:
If line l is parallel to line m, therefore:
(180° - 130°) + 101° + x° = 180° (angles on a straight line)
50° + 101° + x° = 180°
151° + x° = 180°
x = 180° - 151° (substraction property of equality)
x = 29°
y = -2x + 3
4x - 5y = 13
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Answer:
letters do not belong in math
Step-by-step explanation:
1=1-2=3
5. A basketball team played a total of 154 games last season. The number of games won, W,
and the number of games lost, L, are represented by the equation W=154-L.
What quantity does the independent variable represent?
What quantity does the dependent variable represent?
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Answer:
The team won 110 games and lost 44 games.
Step-by-step explanation:
-8-(-13) simplified
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-8 minus -13 = 5
Answer:
5
Step-by-step explanation:
-8-(-13)
you can cross out any 2 minuses, leaving you with
-8+13
and plus and minus make minus, so
13-8
leaves you with your answer, which is 5!
The regular price of a camera is $180.00. The camera is on sale for 25% off the regular price.
What is the sale price of the camera in dollars and cents?
Record your answer in the boxes below. Be sure to use the correct place value.
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Answer:
$135
Step-by-step explanation:
180 decrease 25% =
180 × (1 - 25%) = 180 × (1 - 0.25) = 135