Answers
Answer:
x = 8.6 cm
Step-by-step explanation:
Reference angle = 35°
Opposite side length = x
Hypotenuse = 15 cm
Apply trigonometric ratio to find x
Thus:
[tex] sin(35) = \frac{x}{15} [/tex]
Multiply both sides by 15
[tex] sin(35)*15 = x [/tex]
8.60364654 = x
x = 8.6 cm (nearest tenth)
Related Questions
Which lines are parallel
Answers
Answer:
Blue and Red line
Step-by-step explanation:
Hope I helped!
Answer:
The blue and the pink lines are parallel
Step-by-step explanation:
because they have the same slope
Brittany has $200 to spend on landscaping for her flowerbeds. She knows she wants to buy a $65 planter and a variety of flowering plants. What is the maximum number of flowers she can buy if each one costs $15? Make sure to write in the y=mx+b form.
Answers
Answer:
y = 15x + 65, or y = 15(9) +65
Step-by-step explanation:
So first, subtract $65 from $200 because Brittany is already using $65 for a plantar. For y = mx+b, $65 would be the b, because b is the fixed number, the number that cannot be changed. At this point, you are at y = mx + 65.
Now you are left with $135. Brittany wants to buy flowers with the remaining money. What you can do is division to see how many times $15 will go in $135 because with one flower = $15, we want to see the maximum number we can spend. If you do the division, you will see that $15 goes into $135 9 times, meaning you can buy 9 flowers, because each flower is $15, maxing out the remaining money you have.
In equation form, $15 would be the m, because m is what you multiply by and x is the independent variable, or the number of flowers Brittany will buy.
y = 15x + 65, or y = 15(9) +65
A Paper weight has the shape of a regular triangular pyramid find the surface area of the paperweight put the answer in Square meters
Will Mark brainlest if correct
Answers
Answer:
70.75 in²Step-by-step explanation:
area of a triangular pyramid = base area + 3(triangular sides area)
= 1/2 (5) 4.3 + 3 (1/2 x 5 x 8)
= 10.75 + 3(20)
= 70.75 in²
please help with question
Answers
A car dealership pays $8,350 for a car. They mark up the price by 18% to get the retail price. What is the retail price of the car at this dealership?
Answers
Answer:
$9,853
Step-by-step explanation:
18% of $8,350 is $1,503, so if the price increased by 18%, we must add $8,350 and $1,503, which would equal $9,853.
Please help
What is the area of the triangle?
Answers
Answer:
base x height divided by 2
Step-by-step explanation:
Dave and 4 of his friends meet for breakfast. Each of the 5 people will pay for their own meal. They agree to divide the tip equally. The total for the breakfast was $80.00. The group will add a tip of 15% of the total. Each person's portion of the tip will be how much?
Answers
Answer:
$2.40
Step-by-step explanation:
80x0.15=12
12/5=2.4
Emily and Zach read a total of 32 books in four months. Emily read 12 books. Which equations
shows x, the number of books Zach read?
A 32 + x = 12
B X = 12 - 32
C X + 32 = 12
D 12 + x = 32
Answers
Answer:
D
Step-by-step explanation:
you take away 12 from the total and you'll find how many Zach read (20) then 12+20=32
Answer:
______________________,D_______________
The flag starts at 0 and moves 8 feet right to
on the number line. Then the flag moves 12 feet left to
on the number line. Then the flag moves 13 feet right to
on the number line. Nine is less than 10.
Answers
Which inequality below is equivalent to
3x-y>4
Answers
Susan bought 12 ounces of candy. How many grams did she buy? show your work (please!!!!!!!!!!!!)
Im gonna fail ;_;
Answers
Answer:
The anwser is 340.194
Step-by-step explanation:
I knew the anwser because 1 ounce is 28.3495 then I times that by 12
The program manager for an amateur performance night auditioned 12 acts, but there is only room for 3 acts on the program. How many different ways can the program manager arrange 3 different acts from the original 12
Answers
Answer:
There are 220 different ways to arrange the acts.
Step-by-step explanation:
The order in which the acts are arranged is not important, so we use the combinations formula to solve this question.
Combinations Formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different ways can the program manager arrange 3 different acts from the original 12
Three acts from a set of 12. So
[tex]C_{12,3} = \frac{12!}{3!(12-9)!} = 220[/tex]
There are 220 different ways to arrange the acts.
The list shows the amount of each ingredient Charlotte used to make 3 servings of macaroni and cheese.
• 12 ounces of macaroni
• 1 egg
• 2 cups of milk
•2 1/ 2 cups of cheddar cheese
Based on this information, which statement is NOT true?
A. To make 24 servings, Charlotte should use 96 ounces of macaroni.
B. To make 9 servings, Charlotte should use 8 cups of milk.
C. To make 6 servings, Charlotte should use 5 cups of cheddar cheese.
D. To make 12 servings, Charlotte should use 4 eggs.
Answers
What is the value of these coins?
Answers
Answer:
$2.39
Step-by-step explanation:
4 pennies=4
2 nickels=10
10 dimes=100
5 quarters=125
$2.39
Answer:like $2.39
Step-by-step explanation:
The resistance, R (in ohms), of a wire varies
directly with the length, L (in cm), of the
wire, and inversely with the cross-sectional
area, A (in cm2). A 500 cm piece of wire with
a radius of 0.2 cm has a resistance of 0.025
ohm. Find an equation that relates these
variables.
Answers
Answer:
The equation is: [tex]R = \frac{L}{A}[/tex]
Step-by-step explanation:
The resistance, R (in ohms), of a wire varies directly with the length, L (in cm), of the wire, and inversely with the cross-sectional area, A (in cm2).
This means that we want to find an equation for R, which is a fraction.
Since it varies directly with the length L, L is the numerator.
Since it varies inversely with the cross-sectional area, A is the denominator.
So the equation is:
[tex]R = \frac{L}{A}[/tex]
Answer:
R ∝ L/ A
R = K L/ A
0.025= 500K/0.126
the constant, K=6.3 X 10^-6
Step-by-step explanation:
Step 1
The resistance, R (in ohms), of a wire varies directly with the length, L (in cm), of the wire, and inversely with the cross-sectional
area, A (in cm2) is written mathematically as
R ∝ L/ A
Introducing the constant of proportionality,K, we have
R = K L/ A
So given that s 500 cm piece of wire with a radius of 0.2 cm has a resistance of 0.025 ohm.
We would First find area , since radius was given
Area = πr²
= 3.142 x 0.2²= 0.126cm²
Step 2
With our equation , R = K L/ A, puting all the necessary variables, we have
R = K L/ A
0.025= 500K/0.126
Solving for K
0.025= 500K/ 0.126
(0.025 X 0.126)/500 = K
K=6.3 X 10^-6
Which number would divide the numerator and the denominator of the first
fraction to yield the second fraction?
Answers
Answer:
2/2
Step-by-step explanation:
Let the numerator and denominator be x/x
10/12÷x/x=5/6
10x/12x=5/6
x/x=5/6÷10/12
x/x=5/6×12/10
x/x=2/2
Therefore the numbers are 2/2
Answer:
2/2
Step-by-step explanation:
To reduce a fraction, you have to divide it by a fraction with the equivalency of 1, since anything else would change the value of the fraction. In this instance, you know that you have the fraction 10/12, and you need to reduce it to 5/6. To do this, you must divide 10/12 by a fraction that equals 1 to create 5/6. Breaking it down, you can know that 10 divided by 2 is 5 and that 12 divided by 2 is 6. 2/2 is equal to 1, so that is the answer.
Look at the line segment that is graphed below.
What is the length of PQ¯¯¯¯¯, rounded to the nearest tenth?
a) 5.4
b) 11.2
c) 13.5
d) 19.0
Answers
Answer:
B
Step-by-step explanation:
Which of the following equations has a solution that is negative?
A. 0 -0.4x + 4 = -1.6
B. -0.4(x + 1.6) = 1.6
C. -0.4(-x + 1.6) = 1.6
D. O- 0.4x - 4 + 1.6x = - 1.6
Answers
Answer:
A
Step-by-step explanation:
I think it's this answer
i dont know
Eva bought one share of a company's stock for $42 on Monday. Over the next two days, the
value of the stock changed, as described below.
• Change in value on Tuesday: -$15
• Change in value on Wednesday: +$15
Which number line best represents the value of Eva's stock over the three-day period?
Answers
Explanation: we can see it does have a decrease, but the increase the next day overrides it and turns the stock addition to $0
PLZZ HELPP ILL GIVE BRAINLIST
greater than, less than, equal to
Choose either >, < or = for each row.
Answers
Answer:
>
<
<
=
<
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) >
2) <
3) <
4) =
5) <
for a fixed voltage, the current in an electrical circuit varies inversely as the resistance in the circuit. If a certain has a current of 3.5 amps when the resistance is 110 ohms, find the current when the resistance is doubled.
Answers
Answer: 1.75 amps
Step-by-step explanation:
V (voltage) = I (current) · R (resistance)
V = 3.5 (110)
= 385
When Resistance is doubled, the current is cut in half.
V = I R
385 = I (2 · 110)
[tex]\dfrac{385}{220}=\text{I}[/tex]
1.75 = I
In the given figure, the area of △ADE is 16 units. What is the area of △ABC?
Answers
Answer:
(i) Triangle ABC and triangle ADE are similar triangles. Hence, their ratios will be same.
Ratio of DE to BC is 4:6 => 2:3
To find area, we need to raise the ratio of length to power 2
(2/3)² = 16/x
4/9 = 16/x
x = (16*9)/4
x = 36cm²
Therefore, area of triangle ABC is 36cm²
(ii) Ratio of DE to BC is 4:8 => 1:2
(1/2)² = 25/x
1/4 = 25/x
x = 25*4
x = 100cm²
Therefore, area of triangle ABC is 100cm²
I'm not sure about the third question, sorry
Step-by-step explanation:
Helpppppppppppppppp
Answers
x = 15tan57 = 23.1
The answer is A
Ahmad wants to practice free-throws. He estimates the distance from the free-throw Line to the hoop and marks it with chalk. Ahmad’s estimate was 13.5 feet. The actual Distance should be 15 feet. Find the percent of error.
Answers
Answer: 10%
Step-by-step explanation:
The difference between his estimated and actual distance is 15 - 13.5 = 1.5
The percentage of error is the difference divided by the actual value.
1.5÷15 = 0.10
Converted to a percentage, it is 10%
Answer:
10%
Step-by-step explanation:
What is the area of the triangle? 13 5 12 units?
Answers
Answer:
78
Step-by-step explanation:
you have to multipy 13 and 12 then divide it by 2.(13*12=156/2=78)
Please show how to get answer for if a bus traveled 315 miles in 9 hours, how far did it travel in 3 hours?
Answers
Answer: Its will be 105
Step-by-step explanation: But this is how you get it 315 divided by 3 = 105 or 9x35=315 divided by 3 =105
Which of the following is equivalent to 4x - 3x?
А 7х
B X
C -1
D 1
Answers
According to the survey. there are more Andoroid (A) users than Apple (I) users
(Inequalities or inequality)
Answers
In a bag of 32 MnM's, there are 4 orange, 7 yellow, 6 green, 6 brown and 5 red and 4 blue. Find the probability that a blue is chosen, replaced and then a green is chosen
Answers
Answer:
p(B) = 4/32 = 1/8
p(G) = 6/32 = 3/16
10. Susan will take out a loan for $7500 to buy a used car. The simple
interest rate is 5% for 5 years. How much money will she pay the bank?
back in total?