Answers
Answer:
Step-by-step explanation:
From the figure attached,
1). Sin(D) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{EF}{DF}[/tex]
= [tex]\frac{24}{26}[/tex]
= [tex]\frac{12}{13}[/tex]
2). Cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{ED}{DF}[/tex]
= [tex]\frac{10}{26}[/tex]
= [tex]\frac{5}{13}[/tex]
3). tan(D) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{EF}{DE}[/tex]
= [tex]\frac{24}{10}[/tex]
= [tex]\frac{12}{5}[/tex]
4). sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{DE}{DF}[/tex]
= [tex]\frac{10}{26}[/tex]
= [tex]\frac{5}{13}[/tex]
5). cos(F) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{EF}{DF}[/tex]
= [tex]\frac{24}{26}[/tex]
= [tex]\frac{12}{13}[/tex]
6). tan(F) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{DE}{EF}[/tex]
= [tex]\frac{10}{24}[/tex]
= [tex]\frac{5}{12}[/tex]
Related Questions
During the basketball season, Cory made 21 of the 60 baskets she attempted. Krista made 16 out of 40 baskets she attempted. Paul made 17 of the 50 baskets she attempted and Sally 11 of the 55 she attempted. Who had the greatest percentages of baskets made?
Answers
Given:
Cory made 21 of the 60 baskets she attempted.
Krista made 16 out of 40 baskets she attempted.
Paul made 17 of the 50 baskets she attempted.
Sally 11 of the 55 she attempted.
To find:
Who had the greatest percentages of baskets made?
Solution:
We know that,
[tex]\text{Percentage of baskets made}=\dfrac{\text{Baskets made}}{\text{Total attempts}}\times 100[/tex]
Using this formula, we get
[tex]\text{Cory's percentage of baskets made}=\dfrac{21}{60}\times 100=35\%[/tex]
[tex]\text{Krista's percentage of baskets made}=\dfrac{16}{40}\times 100=40\%[/tex]
[tex]\text{Paul's percentage of baskets made}=\dfrac{17}{50}\times 100=34\%[/tex]
[tex]\text{Sally's percentage of baskets made}=\dfrac{11}{55}\times 100=20\%[/tex]
From the above percentages 40% is maximum.
Therefore, Krista has greatest percentage of baskets made.
Which of the equations below could be the equation of this parabola? Vertex (0,0) A v=-4 B. Y = 42 C. X=-4x D. x = 4y2
Answers
Answer: y= -4x^2
Step-by-step explanation:
The equation of the parabolic function is y = -4x² and the graph is plotted
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be represented as f ( x )
Now , the value of f ( x ) = y
where y = -4x²
The equation y = -4x² represents a parabola that opens downwards (since the coefficient of x² is negative).
The vertex of this parabola is at the origin (0,0), since the coefficient of x is zero. The axis of symmetry is the y-axis, since the parabola is symmetric about this line.
Hence , the equation is y = -4x²
To learn more about parabola click :
https://brainly.com/question/24042022
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Clara and Toby are telemarketers.
Yesterday, Clara reached 4 people in 10 phone calls, while Toby reached 3 people in 8 phone calls.
If they continue at those rates, who will reach more people in 40 phone calls?
Answers
Answer:
Toby will reach more people in 40 phone calls
What is the area, in square inches, of the shape below? Express your answer as a fraction in simplest form.
Answers
Which is 1/9 . Your welcome :)
The area of the right-angle triangle will be 1/18 square inches.
What is the area of the right-angle triangle?The area of the right-angle triangle is given as,
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
The height of the right-angle triangle is 1/6 inch. And the base length of the right-angle triangle is 2/3 inches. Then the area of the right-angle triangle is given as,
A = (1/2) x (1/6) x (2/3)
A = 2 / 36
A = 1/18 square inches
The area of the right-angle triangle will be 1/18 square inches.
More about the area of the right-angle triangle link is given below.
https://brainly.com/question/16653962
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Find the average rate of change for the interval [-4, 0] for the function below
Answer Choices
A. 3/4
B. -4/3
C. 4/3
D. -3/4
Answers
Answer:
The average rate of change of the function for the interval [-4, 0] is [tex]\frac{3}{4}[/tex] ⇒ A
Step-by-step explanation:
The average rate of change of the function is the slope of the line that represents the function, m = Δy/Δx, where
Δx = (x2 - x1)Δy = (y2 - y1)From the given figure
→ The values of x in the interval [-4, 0] are -4 and 0
∵ The point (-4, 0) and (0, 3) lie on the line
∴ x1 = -4 and x2 = 0
∴ x2 = 0 and y2 = 3
∵ Δx = 0 - (-4) = 0 + 4 = 4
∵ Δy = 3 - 0 = 3
→ By using the rule of the slope above
∴ m = [tex]\frac{3}{4}[/tex]
∵ The average rate of change of the function = the slope of the line
∴ The average rate of change of the function for the interval [-4, 0] is [tex]\frac{3}{4}[/tex]
A photo that measure 5 inches in length by 7 inches in width is enlarged to 7.5 inches in length. What is the width?
Answers
Answer:
10.5
Step-by-step explanation:
You can use ratios to solve this problem.
The original dimensions of the photo is
5 in. by 7 in.
This can be written as:
5:7
And the next is 7.5:?
Then you can use ratios to solve this.
5:7=
7.5:?
5*1.5=7.5 so you can multiply the other side by the same thing. 7*1.5=10.5
The width is 10.5 inches.
Mark has $18.00. What is the greatest number of days he can rent a bicycle? 2d=18 where d represents the number of days of the rental
Answers
Answer:
9
Step-by-step explanation:
9x2 is 18, so he can rent a bike for nine days if the rent is $2
Please help WILL GIVE BRAINLIEST PLEASE PLEASE HELP
1. 4x + 6 +2y - 2
2. 4x +8 · y
3. (2 - 4)x + 3 - 2x + 6
4. (2 · 5)x - 4x + 7
Answers
Answer:
1. 10
2. 14
3. 9
4. 13
Step-by-step explanation:
Please help!! this is due today!!
Answers
Explanation:
Notice that every time x decreases by 2, y increases by 8, and every time x decreases by 1, y increases by 4. That mean when x = 0, y = 5+4+4+4=17
Is the relationship for Camille’s puppies weight in terms of linear or nonlinear
Answers
find the value of x
Answers
Answer: 105
Step-by-step explanation: 105 because all angles add up to 180
Which expression is equivalent to 4.8 – 2.2w + 1.4w – 2.4 ?
Answers
Answer:
B) 0.4 (6 - 2w)
Step-by-step explanation:
You can only add or subtract with the numbers that have the same variable:
You can only add -2.2w and 1.4w
Which is -0.8w
Then add 4.8 and -2.4
Which is 2.4
Now the equation is -0.8w+2.4 or 2.4-0.8w
0.4 times 6 is 2.4
0.4 times 2w is -0.8w
Which is the same
-0.8w+2.4 or 2.4-0.8w
Hope this helps!
5log5 (17)What the steps to this problem because I don’t understand
Answers
Answer:
8.80
Step-by-step explanation:
u can use a calculator
he heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house? 72.5°F and 76.5°F 68.5°F and 76.5°F 70.5°F and 74.5°F 72.5°F and 74.5°F
Answers
Answer:
B. 68.5 & 76.5
Step-by-step explanation:
In order to solve this equation you first need to change your equasion to fit 2 scenarios. So, your 2 equations are x-72.5=4 and x-72.5=-4. From there, you need to solve by adding 72.5 to each equation giving you x=76.5 and x=68.5. 68.5 degrees F is your minimum temperature and 76.5 degrees F is your maximum temperature. I have included a screenshot of my handwritten work included below for those who are visual learners.
Mark bakes 73 cookies for the bake sale. Ann bakes 242 cookies. How many cookies did they bake altogether?
Answers
Answer: 315 cookies
Step-by-step explanation: 73+242 = 315
Answer: 315
Step-by-step explanation: 73+242=315
PLEASE HELP! Will mark brainliest
Answers
Answer:
The square root of 65
Step-by-step explanation:
Using the formula A squared B squared = C Squared
Thus, c equals the square root of 65
At 5:00 pm a thermometer shows an outside temperature of 2° F. Then, over the next three hours, the temperature drops 11° F. What integer represents the thermometer reading, in degrees, at 8:00 pm?
Answers
solve the system of equations X-Y = -12 and -8x-4y=-12 by combining the equations
Answers
Answer:
x = -3
y = 9
Step-by-step explanation:
you can add the equations after multiplying the first one by 8
8x - 8y = -96 added to -8x - 4y = -96
'x' eliminated; -12y = -108; y = 9
Solve for 'x':
x - 9 = -12
x = -12 + 9
x = -3
Please help me on these two
Answers
Answer:
1. A
2. A
Step-by-step explanation:
Im pretty sure that is correct
Retail Sales: HELP! 15 POINTS AND BRAINLIEST
Suppose you have a $5-off coupon at a fabric store. You buy fabric that costs $7.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the equation?
Answers
Answer:
7.5x-5 is equation for graph :)
BRAINLIEST PLEASE
Step-by-step explanation:
Given the following equation, determine the solutions when y=0 for the function: y=(x+4)(x-3)
Answers
Answer:
x=-4 and x=3
Step-by-step explanation:
If y=0, then we use the Zero Product Property:
0=(x+4)(x-3)
x+4=0
x=-4
x-3=0
x=3
how many cups each holding 250ml can be filled from a 2 litre bottle of juice
Answers
Answer:
25 glasses
Step-by-step explanation:
Baxter runs ¾ the length of the backyard every ½ of a minute. Enter the number of lengths of the backyard Baxter runs per minute.
Answers
Answer:
Baxter runs 3/2 lengths of the backyard per minute.
Step-by-step explanation:
The question is asking how many times Baxter runs the length of the backyard per minute. We know that he runs 3/4 of the backyard every 1/2 of a minute. This means that he runs 6/4 (simplified to 3/2) per minute.
Patrice and Arnold went to the bank together and checked their account balances Patrice's balance was - 55 and Arnold's was - 56 . Who has a greater debt? Explain using the concept of absolute value.
Answers
Answer:
Arnold has greater debt because he owes an extra dollar to the bank
Step-by-step explanation:
Alaina surveyed students on her bus about their homework.The results are shown in this two-way table. Student Homework Last Night Responses Had Homework 8 Did Not Have Homework 4 Alaina used this data to design a spinner with 6 congruent sections that predicts whether a randomly selected student had homework last night. How many sections of Alaina’s spinner represent students who did not have homework? 2 4 6 8
Answers
Answer:
2
Step-by-step explanation:
Answer: 2
I got it right on ed
What is the value of e in the equation?
8(10 - 3) = 2e + 6
A.4
B.25
C.50
D.2
Answers
Answer:
b. 25
Step-by-step explanation:
you have to do parenthesis first. so 10-3 =7. 7 x 8 = 56
2×25=50 + 6 would equal 56
so, e = 25
A video game customers to rent games for $4.75 each. Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. Find the number of video games a customer would have to rent in a year in order for the two options to be equal
Answers
Given:
A video game customers to rent games for $4.75 each.
Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each.
To find:
The number of video games a customer would have to rent in a year in order for the two options to be equal.
Solution:
Let x be the number of video games.
A video game customers to rent games for $4.75 each. So, the total cost is
[tex]C_1(x)=4.75x[/tex]
Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. So, the total cost is
[tex]C_2(x)=54+2.50x[/tex]
Now, [tex]C_1(x)=C_2(x)[/tex], if the rent in a year for the two options to be equal.
[tex]4.75x=54+2.50x[/tex]
[tex]4.75x-2.50x=54[/tex]
[tex]2.25x=54[/tex]
Divide both sides by 2.25.
[tex]x=\dfrac{54}{2.25}[/tex]
[tex]x=24[/tex]
Therefore, the rent in two options are equal for 24 video games.
6z + 10 = -2 How should I solve it? It's from Simple Equations
Answers
Answer: z = -2
Step-by-step explanation:
6z + 10 = -2
add 10 on both sides
6z = -2 -10
6z = - 12
divide 6 on both sides
z = -2
Answer:
z= -2
Step-by-step explanation:
6z+10=-2
-10. -10
6z = -12
÷6. ÷6
z= -2
Find the value of x so that CR is perpendicular to PR.
Answers
Answer:
12
Step-by-step explanation:
12+12=12 and 12 = 12 and 9+10= 21
Giving brainliest to the most helpful, for 50 points, find each probability using the table (table is linked)
The table below shows the fate of the first, second, and third class passengers on the titanic.
1. p(a 3rd class survivor)
2. p(1st class | died)
3. p(survived | 2nd class)
4. p(1st or 3rd class | survived
Answers
Answer:
Hope this helps!!
Step-by-step explanation:
Answer:
1. 43/325
2. 30/203
3. 117/272
4.371/488
Step-by-step explanation:
1. p(a 3rd class survivor)
172 2nd class out of total
2. p(1st class | died)
given that they died there are 120 people in first class out of all the people who died
3. p(survived | 2nd class)
how many people survived given they were second class is 117 out of 272 peple in 2nd class
4. p(1st or 3rd class | survived
given that they survived (488) there are 371 people in first and third class so 371/488