Answers
Answer:
the first option is the answer, r = √6
Step-by-step explanation:
[tex]hypotenuse = \sqrt{opposite {}^{2} + adjacent {}^{2} } [/tex]
hypotenuse = q = √12
adjacent = p = √6
opposite = r
substitute the values into the hypotenuse formula
[tex]q = \sqrt{r {}^{2} + p {}^{2} } [/tex]
[tex] \sqrt{12} = \sqrt{r {}^{2} + ( \sqrt{6} ) {}^{2} } [/tex]
[tex]( \sqrt{12} ) {}^{2} = r {}^{2} +6[/tex]
[tex]12 = r {}^{2} + 6[/tex]
[tex]12 - 6 = r {}^{2} [/tex]
[tex]6 = r {}^{2} [/tex]
[tex] \sqrt{6} = r[/tex]
[tex]r = \sqrt{6} [/tex]
Related Questions
y=3x−7 Complete the missing value in the solution to the equation. (1,_)
Answers
Answer:
y= -4
Step-by-step explanation:
Since x=1, then you would plug in 1 for x. 3 times 1 is 3, then you subtract 7 to get -4.
Mary pays $72 for sand. If the cost per pound is $0.45, how many pounds did she purchase?
Answers
Answer:
Mary purchased 160 pounds of sand
Step-by-step explanation:
$72÷$0.45=160
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can Someone help me with this math problem
Answers
During the summer, the height of the water in a pond decreases by 2 inches per day due to evaporation. What is the change in the height of the water after 12 days?
Answers
Answer:
24 inches
Step-by-step explanation:
2 x 12 = 24
i need help this is really important for my grade
Answers
Answer is -5/8 as the slope
Determine whether the relation is a function. Explain. {(3, 9), (4, 8), (–7, 4), (0, 4), (2, 4), (3, 5), (–3, 8)} a. Yes, each x-value is paired with exactly one y-value. b. No, there is a y-value paired with more than one x-value. c. No, there are no negative y-values. d. No, there is an x-value paired with more than one y-value.
Answers
Expand and combine like terms. (4d^2-2d^7)^2
Answers
The expanded form will be 16d⁴ + 16d¹⁴ - 8d⁹ - 8d⁸.
What is an expression?To show the value of each digit, we divide a number into its place values and then expand it. A 943 expanded form is provided as an example. Blocks of hundreds in nine 3 blocks of ones and 4 blocks of tens. nine hundos 4 tens plus 3 ones expanded Form: 900 + 40 + 3.
An expression is a combination of numbers, variables, and operators that represents a value or a mathematical relationship.
In the given example (4d^2-2d^7)^2 is an algebraic expression which can be simplified by expanding it using the rule of square of binomial. The expanded form will be 16d⁴ + 16d¹⁴ - 8d⁹ - 8d⁸
Hence, the expanded form will be 16d⁴ + 16d¹⁴ - 8d⁹ - 8d⁸.
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Geometric mean of 14 and 12
Answers
Answer:
14 and 12
Step-by-step explanation:
I don't understand, help.
Answers
9514 1404 393
Answer:
x = 20°y = 70°Step-by-step explanation:
The hash marks indicate that the lower triangle is isosceles. That means its base angles are equal. The external angle marked 40° will be the sum of those two equal angles, so ...
x + x = 40°
x = 20°.
x is one of the two acute angles in the right triangle. The other is y, which is the complement of x.
y = 90° -x = 90° -20°
y = 70°
_____
Additional comments
The angle marked 40° is one of a "linear pair". The other angle in that pair is the obtuse angle in the lower triangle. Its measure is 180°-40° = 140°. The two base angles of that isosceles triangle are both x°, so you have ...
x° +x°+140° = 180°
2x° = 180° -140° = 40°
That is, the sum of the two angles will be equal to the external angle marked 40°. The relevant theorem says "an exterior angle is equal to the sum of the remote interior angles." Remembering this is a useful shortcut, so you don't have to find the third interior angle, which is 140° in this case.
4) [59, 59,59,59,100,89,80,89] Find The Median and The mode
Answers
Mode is 59
-4(-6 + 2) =
A)-16
B)-32
C)-8
D)16
Answers
Step-by-step explanation:
[tex] - 4( - 6 + 2) [/tex]
[tex] - 4( - 4) = + 16[/tex]
Answer: A)-16
Step-by-step explanation:
what is the answer for y=−16x^2 +119x +73
Answers
Answer:
Im pretty sure the answer is y=375x+73
Im not really sure
Pls help me!!! And thank yiuuu!!!
Answers
Answer:
[tex]\huge\boxed{x = 8}[/tex]
Step-by-step explanation:
In order to solve for x, we need to note a few angle relationships here.
A) Equations can be used to represent angle lengths as long as there is something else to reference it (such as a supplementary/congruent/etc. angle) B) When two parallel lines are cut by a transversal, the angle measures formed by the transversal will be the same.Using these rules, we can start to figure out that the angle [tex]7x+3[/tex] is going to be congruent to the angle [tex]3x+35[/tex]. Since the angle measures will be the same, that means the value of x will also be the same. Therefore, we can set the two equations equal to each other and solve for x.
[tex]7x + 3 = 3x+35[/tex] [tex]4x + 3 = 35[/tex] [tex]4x = 32[/tex] [tex]x = 8[/tex]Hope this helped!
1 is 25, percent of what number
Answers
Answer:
Step-by-step explanation:
0.25
Answer:4
Step-by-step explanation:
Plz help me with this
Answers
9514 1404 393
Answer:
growth2.3%Step-by-step explanation:
The number with the exponent is 1+0.023/4 = 1.00575. This number is greater than 1, so represents growth.
When x increases by 1, the multiplier of 800 increases by ...
1.00575^4 ≈ 1.023199 = 1 + 2.3199%
Rounded to the nearest tenth percent, this is a 2.3% growth rate.
_____
Additional comment
The formula corresponds to a financial formula in which a 2.3% annual interest rate is compounded 4 times per year. The effective annual interest rate is almost 2.32% per year. The difference is there, but is too small to see when the interest rate is rounded to a tenth percent.
HELP ME PLEASE
Use the table to answer the question.
Avocados Price
$1.15
$2.30
$5.75
$11.50
1
2
5
10
How much will 3 avocados cost?
O $1.15
O $3.45
O $4.45
O $4.60
Answers
one Avocado costs 1.15 you need 3
1.15×3=3.45
The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.
A right triangle is shown. The hypotenuse has a length of 7 StartRoot 2 EndRoot and the lengths of the other 2 sides are congruent.
What is the length of one leg of the triangle?
7 units
7 StartRoot 2 EndRoot units
14 units
14 StartRoot 2 EndRoot units
Answers
Answer:
7 units
Step-by-step explanation:
Given is a 45°-45°-90° triangle.
Measure of Hypotenuse = 7 StartRoot 2 EndRoot units.
In a 45°-45°-90° triangle, measures of perpendicular legs is one upon square root 2 times of the measure of Hypotenuse.
[tex] \therefore \: measure \: of \: one \: leg \\ \\ = \frac{1}{ \sqrt{2} } \times 7 \sqrt{2} \\ \\ = 7 \: units[/tex]
Answer:
A. 7 units 2021 edg
Step-by-step explanation:
What is the domain of f?
Answers
Answer:
See below.
Step-by-step explanation:
The domain is the x values involved in the equation/graph. The lines seemingly goes from -5 to 6. The x values between those points also count since there is a line. Therefore, the domain of f is [-5, 6]. The brackets are used since the dots on -5 and 6 are shaded in meaning they also count for the domain.
Interval Notation: [-5, 6]
Inequality Notation: -5 ≤ x ≤ 6
i need help! can you also explain it?
Answers
Answer:
Number B
Step-by-step explanation:
can someone help please
Answers
Hope it will help
which graph could represent a function ? ?
Answers
Answer:
The third Graph
Step-by-step explanation:
Using the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Answer:
The third Graph
Step-by-step explanation:
I NEED HELP PLZ ANSWER THIS
Answers
Answer:
A
Step-by-step explanation:
(✓x)^5
(x^1/2)^5
x^5/2
Please please help please please ASAP please
Answers
From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t where t is the number of years since 1997.
Answers
Question
a) What is the decay factor?
b) What is the percent decrease?
c) Estimate the number of black and white TV's sold in 1999.
Answer:
a. Decay factor = 0.85
b. Percent decrease = 15%
c. 19.363 million TVs were sold
Step-by-step explanation:
Given
[tex]n = 26.8(0.85)^t[/tex]
Solving (a): The decay factor
An exponential function has the form
[tex]y = ab^x[/tex]
Where b is:
[tex]b = decay\ factor\ or\ growth\ factor[/tex]
By comparison:
[tex]b = 0.85[/tex]
Solving (b): Percentage decrease:
Percentage decrease P is calculated as follows:
[tex]P = 1 - b[/tex]
Substitute 0.85 for b
[tex]P = 1 - 0.85[/tex]
[tex]P = 0.15[/tex]
Convert to percentage
[tex]P = 0.15*100\%[/tex]
[tex]P = 15\%[/tex]
Solving (c): TVs sold in 1999
First, we need to determine the value of t for 1999
In 1997, t= 0
In 1998, t= 1
In 1999, t= 2
So, we substitute 2 for t in: [tex]n = 26.8(0.85)^t[/tex]
[tex]n = 26.8(0.85)^2[/tex]
[tex]n = 26.8*0.7225[/tex]
[tex]n = 19.363[/tex]
Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements:
1. As x increases infinitely, the y-values are continually doubled for each single increase in x.
2. As x decreases infinitely, the y-values are continually halved for each single decrease in x.
She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine’s statements and her conclusion?
Statement 1 is incorrect because the y-values are increased by 2, not doubled.
Statement 2 is incorrect because the y-values are doubled, not halved.
The conclusion is incorrect because the range is limited to the set of integers.
The conclusion is incorrect because the range is limited to the set of positive real numbers.
Answers
Answer:
The conclusion is incorrect because the range is limited to the set of positive real numbers.
Step-by-step explanation:
The conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.
What is a function?A relation is a function if it has only One y-value for each x-value.
Statement 1 is actually correct, because as x increases by 1, the value of f(x) = 2x is multiplied by 2.
Therefore, the y-values are indeed doubled for each single increase in x.
Statement 2, however, is incorrect, because as x decreases by 1, the value of f(x) is divided by 2, not halved.
Therefore, the accuracy of Geraldine's statements is mixed.
The range of the function f(x) = 2x includes all positive real numbers, not just integers or positive integers.
Therefore, the conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.
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which graph represents the solution for the equation 1/6x=-2x+5
Answers
Answer:
Pllsssss Pllsssss Pllsssss
Step-by-step explanation:
Pllsssss Pllsssss Pllsssss
1) Write an equation of a line that
is parallel to y = -5x + 2 and
passes through (-1, 4).
Answers
Answer:
y=-5x + 4
Step-by-step explanation:
Answer:
y=-5x-1
Step-by-step explanation:
It goes through the point (-1,4)
Need this very badly, there is,no c or d just those 2.
Answers
Answer:
B.
Step-by-step explanation:
A is describing volume I belive so the only answer that makes sense would be b since the surface area is when you combine all the areas togther.
Hope this helps :)
Zoey walked from school to the grocery store, and then to her house. The diagram shows the top view of the three locations and some of the distances between them.
Answers
Answer:
56
Step-by-step explanation:
What system of linear inequalities is shown in the graph?
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