Answers
The value of FY in the triangle will be 30.11
How to calculate the value?From the information given, the value of BE will be:
= [tex]\sqrt{64.2}[/tex]² - [tex]\sqrt{51.2}[/tex]²
= 38.7
From the triangle, DY will be
= [tex]\sqrt{64.22}[/tex]² - [tex]\sqrt{61.7}[/tex]²
= 17.7
AY will be:
= [tex]\sqrt{61.7}[/tex]² + [tex]\sqrt{17.7}[/tex]²
= 64.2
FY will now be:
= [tex]\sqrt{64.2 - 56.7}[/tex]²
= 30.11
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Related Questions
I know it’s simple but I’ve never been good at this topic please help —— 1232÷14
Answers
Answer:
88
Step-by-step explanation:
A classroom monitors chicken eggs in various temperatures. The table shows the class's recorded results. Using the data in the table, a conclusion is made by calculating probabilities related to a randomly selected egg.
(see attachment for table)
Based on the information, which statement about the eggs is correct?
Given the egg has _______, the egg was kept warmer than room temperature.
answer choices for blank: hatched, not hatched
Answers
Given the egg has hatched, the egg was kept warmer than room temperature.
Given:Cool Room temperature Warm Total
Hatched 5 16 21 42
Unhatched 18 10 4 32
Total 23 26 25 74
To fill the blank we need to analyse the temperature carefully if see the table then cool hatched eggs are 5 , unhatched cool eggs are 18, eggs on room temperature and hatched are 16, eggs on room temperature and unhatched are 10, warm hatched eggs are 21 and warm unhatched eggs
So we can notice that hatched eggs are more in room temperature.
Hence hatched eggs are more in room temperature.
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Answer:
Given the egg has hatched the egg was kept warmer than room temperature.
Hope this helped!
The function y=x²-4x+8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one
fence post to another. All distances are in feet. Complete the square to find and interpret the extreme value
(vertex).
Select two answers: one extreme value and one interpretation.
Height (feet)
Distance (feet)
A. When the bird is 4 feet away from the first fence post, it reaches its minimum height of 8 feet.
B. Minimum at (4,8)
C. When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet.
D. Minimum at (2,4)
Answers
When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet , Minimum at (2,4)
Therefore Option C and D is the correct answer.
What is a Quadratic Function?The equation for a quadratic function is given by
y = a(x-h)² +k²
where (h,k) is the extreme value(vertex).
Here the equation given is
y = x²-4x +8
y = x²-4x+4+4
y = (x-2)² +4
Here the value of a = 1 , h = 2 and k = 4
The extreme value is at (2,4)
Therefore When the bird is 2 feet away from the first fence post, it reaches its minimum height of 4 feet , Minimum at (2,4)
Therefore Option C and D is the correct answer.
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What is the factored form for the quadratic function below?
y = x² + 9x + 8
Oy=(x-9)(x - 1)
Oy=(x-8)(x - 1)
Oy= (x + 9) (x + 1)
Oy= (x + 8) (x + 1)
Answers
Answer:
D. y = (x + 8) (x + 1)
Explanation:
[tex]\sf y = x^2 + 9x + 8[/tex]
[tex]\rightarrow \sf y = x^2 + 9x + 8[/tex]
middle term split
[tex]\rightarrow \sf y = x^2 + 8x +x + 8[/tex]
factor the common terms
[tex]\rightarrow \sf y = x(x + 8) + 1(x + 8)[/tex]
collect into groups
[tex]\rightarrow \sf y = (x + 1)(x + 8)[/tex]
Option D
9 to the power of - half is equal to (as a fraction) 27 to the power of a quarter over 3 to the power of x-1
whats x?
9^(-1/2) = ((27^(1/4))/(3^(x-1)))
Answers
Answer:
[tex]x=\dfrac{11}{4}[/tex]
Step-by-step explanation:
Given:
[tex]9^{-\frac{1}{2}}=\dfrac{27^{\frac{1}{4}}}{3^{(x-1)}}[/tex]
Rewrite 9 as 3² and 27 as 3³:
[tex]\implies (3^2)^{-\frac{1}{2}}=\dfrac{(3^3)^{\frac{1}{4}}}{3^{(x-1)}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 3^{-1}=\dfrac{3^{\frac{3}{4}}}{3^{(x-1)}}[/tex]
Multiply both sides by [tex]3^{(x-1)}[/tex] :
[tex]\implies 3^{-1} \cdot 3^{(x-1)}=3^{\frac{3}{4}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies 3^{(-1+x-1)}=3^{\frac{3}{4}}[/tex]
[tex]\implies 3^{(x-2)}=3^{\frac{3}{4}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies x-2=\dfrac{3}{4}[/tex]
[tex]\implies 4(x-2)=3[/tex]
[tex]\implies 4x-8=3[/tex]
[tex]\implies 4x=11[/tex]
[tex]\implies x=\dfrac{11}{4}[/tex]
hii can someone help thank you
Answers
The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square bas-
is x units.
Which expression represents the volume of the prism, in cubic units?
x³ +9
x³ + 3x²
x³ + 3x + 3
x³ + 6x² + 9x
Answers
Answer:
College dropout is the greatest album of all-time
Use the Factor Theorem to determine whether x + 1 is a factor of P(x) = 2x³+4x²–2x−8.
Specifically, evaluate P at the proper value, and then determine whether x + 1 is a factor.
Answers
Answer: [tex]2x^2+2x-4-\frac{4}{x+1}[/tex]
Not a factor because there is a remainder.
Step-by-step explanation:
Let's use synthetic division to solve this..
-1 ║ 2 | 4 | -2 | -8
║ | -2| -2 | 4
║ 2 | 2| -4 | -4
[tex]2x^2+2x-4-\frac{4}{x+1}[/tex]
PS: if anyone knows a better way to do a synthetic division chart please let me know.
How to write a two column proof for number 12?
Answers
1) [tex]\overline{EJ} \parallel \overline{KF}, \overline{JG} \parallel \overline{KH}, \overline{EF} \cong \overline{GH}[/tex] (given)
2) [tex]\overline{FG} \cong \overline{FG}[/tex] (reflexive property)
3) [tex]\overline{EG} \cong \overline{FH}[/tex] (segment addition postulate)
4) [tex]\angle JEF \cong \angle KFG, \angle JGE \cong \angle KHF[/tex] (if two parallel lines are cut by a transversal, the corresponding angles are congruent)
5) [tex]\triangle EJG \cong \triangle F\text{ }KH[/tex] (SAS)
What is the length of the missing side of this triangle?
A
2
B
10
C
50
D
100
top side is 26 bottom side is 24 left side is whats missing
Answers
Answer:
B
Step-by-step explanation:
pythagorus theorem
a² + b² = c²
c² - b² = a²
26² - 24² = a²
676 - 576 = a²
a² = 100
a = 10
At a track meet, the height of John's high jump was within 6 inches of the track record of 76 inches. What is
the range of heights for John's jump?
Answers
The range:
[tex]{x|70\leq x\leq 82[/tex]
15 points for this need help badly
Answers
Answer:
check image below
Step-by-step explanation:
PLease help due today! I will give brainliest!!
Select the correct answer.
Simplify the expression.
[tex][tex]\sqrt[5]{224x^{11}yx^{8} }[/tex][/tex]
Answers
Hopes this helps
The water was pumped out of a backyard pond what is the domain of the graph that 70 time 6
Answers
The domain of the given graph is the set of all real numbers from 0 to 8.
How to find the domain of a Graph?The graph showing the water depth on the y-axis in inches against the time in minutes on the x-axis has been attached.
Now, domain is the set of all possible input values and from the graph we see that the set of all possible input values are between 0 and 8.
Thus, we can conclude that the domain of the given graph is the set of all real numbers from 0 to 8.
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A group of friends wants to go to the amusement park. They have no more than $280 to spend on parking and admission. Parking is $19.50, and tickets cost $33.75 per person, including tax. Which inequality can be used to determine semanticsp, the maximum number of people who can go to the amusement park?
Answers
The number of people who can go to the amusement park is 8.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given: the group of friends had $280.
For parking= $19.50
Remaining will be,
=$(280-19.50)
= $ 260.5
Cost of ticket per person = $33.75
Thus, number of tickets they can buy
=260.5 / 33.75
=7.718 = 8 peoples
Hence, number of people who can go to the amusement park is 8.
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Hii! would anyone mind helping me out?
Find the center of this hyperbola
[tex]\large\boldsymbol{9x^2-y^2-72x+8y+119=0}[/tex]
[tex]\bigstar[/tex]
[tex]\underbrace[/tex]
Answers
Answer:
(4, 4)
Step-by-step explanation:
This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola.
[tex]\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1[/tex]
Match the values in this hyperbola to those of the standard form. The variable h represents the x-offset from the origin, k represents the y-offset from origin, a.
a = 1
b = 3
k = 4
h = 4
Thus,
[tex](x-4)^2 - \frac{(y-4)^2}{9} = 1[/tex]
The center of a hyperbola follows the form of (h, k). Substitute in the values of h and k.
= (4, 4)
two number cubes are rolled. Deterimine the number of ways that you could get a sum that is less than 5. The number cube is out of 6
Answers
Answer: six ways
Step-by-step explanation: The pairs when the cube is rolled that are less than five would be; (1,1), (1,2), (1,3), (2,1), (2,2), (3,1) since each cube is out of six.
A. Does the relationship of weeks passed and total number of followers represent a linear function? (0.5 points) B. What is the independent variable in the situation(0.5 points) C. What is the dependent variable in the situation? (0.5 points ) D. What is the slope of the line ? What does the slope represent in this scenario ? (0.5 points) E. What is the y-intercept of the line? What does the y intercept represent in this scenario? (0.5 points) F. Write the equation in slope intercept form that represents the situation (points ) G. What is the domain ? (Inequality notation ) (0.5 points) H. What is the range ? ( Inequality notation ) (0.5 points) How many weeks would it take Jorge to get 100 followers ? (points ) J. How many followers will Jorge have after 12 weeks ? (0.5 points)
Answers
The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
a) Yes it does, because the graph of their relationship is a Straight line
b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent
C)number of followers depend on the number of locks passing. It is dependent.
D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) = 18/3 = 6
It represents the increase in number of followers per week,
E) y-intercept is value of y when x=0
y-intercept = 82. It means his initial number of followers
F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.
Y=6x+82
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What is the decimal multiplier to increase by 93%?
Answers
Answer:
0.93
Step-by-step explanation:
explain this please thanks.
Answers
Answer:
Step-by-step explanation:
Two possible patters of sitting:
⇒ [tex]I) M W M W M W[/tex]
⇒ [tex]II) W M W M W M[/tex]
⇒ Three ways can be used to seat each set of three people, for a total of six.
⇒ There are two groups
2 × 3 = 6 (ways in six groups.)
*The two options can be distributed in two groups.
⇒ Total methods are equal to 6 * 6 * 2 = 72 ways.
What is the equation of the line that passes through the point (8,4) and has an undefined slope?
Answers
Answer:
x = 8
Step-by-step explanation:
An undefined slope indicates that the line is vertical and parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (8, 4 ) with x- coordinate 8 , then
x = 8 ← equation of line
4
If this helped you please mark brainlyest
Suppose f(x) = x² and g(x)= (1/5x)^2
Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted units left.
B. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 5.
OC. The graph of g(x) is the graph of f(x) horizontally stretched by a
factor of 5.
D. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 5.
Answers
Answer:
B. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
A recipe calls for 4 1/2 cups of flour. if you only make half of the recipe, then how many cups of flour do you need? express your answer as a mixed number. please help
Answers
Answer:
2 1/4
Step-by-step explanation:
Half of 4 is 2 and half of 1/2 is 1/4 so half of 4 1/2 is 2 1/4
The angle of depression from the hot-air
balloon to the car is 34°.
How high is the hot-air balloon flying?
Give your answer to 2 s.f.
6400 feet
Not drawn accurately
Answers
Answer:
Ans : 3578.83 feet from the ground
Step-by-step explanation:
You can use sine theory so
sine 32 = height/6400
6400 x sine 32 = height
Easy
Maggie and Tanya went to a fruit store. Maggie bought 10 oranges and 5 apples for $4. Tanya bought 9 oranges and 3 apples for $3. What is the cost of an orange and an apple?
Answers
Answer:
orange: 0.2$, apple: 0.4$
Step-by-step explanation:
we mark the price of an orange x and the price of an apple y. then we write down Maggie's and Tanya's purchases as a set of equations:
10 oranges and 5 apples for 4$ means:
[tex]10x + 5y = 4[/tex]
9 oranges and 3 apples for 3$ means:
[tex]9x + 3y = 3[/tex]
we use the second equation to isolate y:
[tex]3y = 3 - 9x \\ y = 1 - 3x[/tex]
and plug it in the first equation:
[tex]10x + 5(1 - 3x) = 4 \\ 10x + 5 - 15x = 4 \\ 1 = 5x \\ x = 0.2[/tex]
and then we find y:
[tex]y = 1 - 3 \times 0.2 \\ y = 0.4[/tex]
Carly will be going to college in 3 years. she anticipates that she will need $12,000 to pay for the first year. she currently has $2,900 in a savings account. without including any interest earned, what is a reasonable estimate of the amount carly needs to deposit into the savings account per month over the next 3 years to be able to pay for her first year of college? $150 $250 $350 $450
Answers
The estimate of the amount carly needs to deposit into the savings account per month over the next 3 years to be able to pay for her first year of college is $250
SavingsAmount needed = $12,000Amount available = $2,900Number of months in three years = 12 × 3 = 36Amount of savings per week = x12,000 = 2900 + 36x
12,000 - 2900 = 36x
9,100 = 36x
x = 9100 / 36
x = 252.777777777777
Approximately,
$250
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Answer:
The answer is B. $250
Step-by-step explanation:
Write the number in standard notation: 5.32 x 106?
Answers
Answer:
5.32⋅10−6
Step-by-step explanation:
Answer:
5320000
Step-by-step explanation:
standard notation form : 5320000
For a biology experiment, students labeled the plants in a greenhouse in order to track their heights over the next few weeks. The greenhouse contained ROSES labeled 1, 2, 3, 4, 5, 6, LILIES labeled 1, 2, 3, 4, 5, and VIOLETS labeled 1, 2, 3, 4. If a single flower is picked at random, what is the probability that the flower is NOT A ROSE?
Answers
Using it's concept, it is found that there is a 0.6 = 60% probability that the flower is NOT A ROSE.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 4 = 15 flowers, out of which 5 + 4 = 9 are not roses, hence the probability is given by:
p = 9/15 = 0.6 = 60%.
0.6 = 60% probability that the flower is NOT A ROSE.
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What is the equation of the line that passes through the point (5,-2) and has a
slope of -2/5
Answers
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{y = -2/5x}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{Passes through (5, -2) and slope of -2/5}[/tex]
Find: [tex]\textsf{The equation that follows the details provided}[/tex]
Solution: We first need to plug into the point-slope form and after simplifying, distributing, and solving for y we will complete our equation.
Plug in the values
[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-2) = -2/5(x - 5)}[/tex]Distribute and simplify
[tex]\textsf{y + 2 = -2/5(x - 5)}[/tex][tex]\textsf{y + 2 = (-2/5 * x) + (-2/5 * (-5))}[/tex][tex]\textsf{y + 2 = -2/5x + 2}[/tex]Subtract 2 from both sides
[tex]\textsf{y + 2 - 2 = -2/5x + 2 - 2}[/tex][tex]\textsf{y = -2/5x + 2 - 2}[/tex][tex]\textsf{y = -2/5x}[/tex]Therefore, the final equation that follows the information that was provided is y = -2/5x.
Question 8 of 10
What are the zeros of f(x) = x² − 8x + 16?
A. x= -4 and x = 4
B. x=-2 and x = 8
C. x = 4 only
D. x = -4 only
Answers
Answer:
c ×=4, only
Step-by-step explanation:
4*-8×+16=0
16-32=-16
-16=-16
Answer:
D. x=4 only
Step-by-step explanation:
You can solve using the quadratic equation which is [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}[/tex]
where in this case a=1, b=-8, and c=16. But there is any easier way to solve the equation. You can solve by completing the square which consists of moving the constant to the right side and then adding [tex](\frac{b}{2})^2[/tex]. To both sides that way you can rewrite the left side as a perfect square binomial. This is because [tex](x+b)^2[/tex] will expand to [tex]x^2 + 2xb + b^2[/tex]. So when you add [tex](\frac{b}{2})^2[/tex] to both equations. You're able to rewrite the left side as [tex](x+(\frac{b}{2}))^2[/tex]. Because once you expand it out, it becomes [tex]x^2 + 2(\frac{b}{2})x + (\frac{b}{2})^2[/tex]. Which simplifies to [tex]x^2 + bx + (\frac{b}{2})^2[/tex] which is the original equation. In this case there is no need to move the constant, which in this case is 16, to the other side. Since if you calculate the value of (-8/2)^2 it's equal to 16! So this can already be written as a perfect square binomial.
So the equation becomes
[tex]0 = (x+\frac{b}{2})^2[/tex]
Plug values in
[tex]0 = (x+(-\frac{8}{2}))^2[/tex]
Simplify
[tex]0 = (x-4)^2[/tex]
Take the square root of both sides
[tex]0 = x-4[/tex]
Add 4 to both sides
[tex]4 = x[/tex]
