The distance we have to hike to reach the top of the mountain is
2.92 miles.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A mountain has a 20-degree slope and is 1 mile tall and we have to hike the mountain so we want to know the distance.
Here hypotenuse is the distance we have to hike and according to the reference, the angle opposite has a distance of 1 mile.
We know sin = opposite/hypotenuse.
sin20° = 1/hypotenuse.
0.342 = 1/hypotenuse.
hypotenuse = 1/0.342.
hypotenuse = 2.92 miles.
learn more about trig ratios here :
https://brainly.com/question/14977354
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An appliance store decreases the price of a 19-in television set 25% to a sale price of $482.63. What is the original price?
11. Graph the function. Label the vertex and axis of symmetry. State the domain
and range. Then describe where the function is increasing and decreasing. *
f(x) = 2(x - 1)(x – 3)
Answer:
x2 is the answer
Step-by-step explanation:
i found out by seeing those numbers in the numerial order.
Which of the following expressions is equivalent to 30 + 40?
A. 5(25 + 35)
B. 10(3 + 4)
C. 15(2 + 3)
D. 5(6 + 8)
Answer:D. 5(6+8)
Step-by-step explanation:First you need to distribute. Multiply 5 by both numbers inside parentheses. 5x6=30 and 5x8=40. This gives you 30+40
12 out of 100 kids make it to the Houston Rodeo. How many kids will make it
out 750?
Answer:
90/750 or 8.33 round and it would be 9 kids or 45/375
Step-by-step explanation:
12/100 to ?/750
100 to 750 would be 7.5 *100
so 12 *7.5 = 90
90/750= 8.33
or 45/375
Ratio of 12:100
12 x 7 and 100 x 7
84:700
12:100 / 2 = 6:50
90:750
Out of 750 kids, 90 make it
I'm pretty sure anyway, hope this helps!
enter the number of complex zeros for the polynomial function in the box
f(x)=x^3-96x^2+400
Answer: Your answer would be 3
Sara and Gordon win some money and share it in the ratio 5:3. Sara gets £30 more than Gordon. How much did Gordon get?
Answer:
45
Step-by-step explanation:
if Sara has 30 more than Gordon and the ratio is 5:3. then sara has 2× X more than Gordon. 30 ÷ 2 = 15.
15 = X
15 × 3 = 45
Sara has 75
(sorry if it's confusing)
Solve for y 2x-5y=10
Answer:
y = 2/5x - 2
Step-by-step explanation:
Step 1: Write equation
2x - 5y = 10
Step 2: Solve for y
Subtract 2x on both sides: -5y = 10 - 2xDivide both sides by -5: y = -2 + 2/5xRewrite: y = 2/5x - 2Question 4 of 10
List all the factors of 33 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
SUBMIT
I'll give u full brainlist if u do this!
calculate the agerage speed for each sutuation, rounding your answer to two dicimal places where appropriate:
a) a bus travels 876km in 16 hours
b) an athlete runs 10 km in 26.44 minutes
Answer:
a. 54.75
b. 2.64
Step-by-step explanation:
What strategy would be the best to solve this problem? Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy? A. guess, check and revise B. work backwards C. use a formula D. look for patterns
Answer:
D. Look for patterns
Step-by-step explanation:
To solve :
Assume number of apples bought = x
Fraction kept = 1/3 of x
Fraction shared = (x - x/3) = (3x - x) /3 = 2x/3
Number of people who shared (2x/3) = 4 with each getting 2
Total number shared = 4 * 2 = 8
Fraction shared = total shared
2x/3 = 8
Multiply both sides by 3
(2x/3) * 3 = 8 * 3
2x = 24
x = 12
Hence, Anne-Marie purchased 12 apples
Which of the following statements are true of a transversal?
It is a line.
It is parallel to other coplanar lines.
It intersects two or more coplanar lines.
It bisects line segments.
It can never be perpendicular to other lines.
Answer:
Intersects two or more coplanar lines
Step-by-step explanation:
In geometry, the transversal line is a line that passes through two separate lines on the same plane (coplanar) at 2 distinct points.
Answer:
A, C, and E
Explanation:
y is inversely proportional to x . When y = 3 , x = 20 Work out x when y = 12
Answer:
x = 5 when y = 12
Step-by-step explanation:
If y is inversely proportional to x, we can say that x1 : x2 = y2 : y1
The order of y2 and y1 respectively are interchanged as y is inversely proportional to x
Now let us simply substitute our known values, and solve for x2;
x1 : x2 = y2 : y1
20 : x2 = 12 : 3
20/x2 = 12/3
12(x2) = 3(20)
12(x2) = 60
x2 = 60/12 = 5
what is a good way to get better at algebra
Answer:
study hard and find shortcuts to make it easier for you. also do not hesitate to ask teachers for help. it is their job to help
Step-by-step explanation:
please help brainliest and 50 points for whoever answers all of these first
Answer:
my laptop doesnt let me download pdf :/
Need help Asap, Tysm if you respond!!
Answer:
20
Step-by-step explanation:
insert those variable values like this
[tex]( 4 + 8) {}^{2} \div 4 - 2(8)[/tex]
if you want more explanations pm me
4x-6>6x-20 solve for the inequality
Answer:
x < 7
Step-by-step explanation:
4x - 6 > 6x - 20
Add 6 to both sides.
4x - 6(+6) > 6x -20(+6)
Simplify.
4x > 6x - 14
Subtract 6x from both sides.
4x(-6x) > 6x(-6x) - 14
Simplify.
-2x > -14
Multiply both sides by -1 (reverse the inequality).
(-2x)(-1) < (-14)(-1)
Simplify.
2x < 14
Divide both sides by 2.
2x/2 < 14/2
Simplify.
x < 7
Cameron has 54 balls. He wants to put the same number of balls into each 9 buckets. Witch multiplication equation shows a way to represent the number of balls that should go in the bucket. 1. 9 x _ = 54 2. 9 x 54 = _ 3. 54 x _ = 9 4 . 9 x 9 = _
Find the line that is parallel to y=3x-5 and goes through the point (5,1)
Answer:
y=3x-14
Step-by-step explanation:
if its parallel
they it must be y=3x+b
and plug in x and y
you get the answer
Hope this help ya
<3
Red
Answer:
y = 3x - 14
Step-by-step explanation:
y = mx + b
1 = 3(5) + b
1 = 15 + b
b = -14
y = 3x - 14
Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent. The lid on Scott's container can hold 3 fluid ounces of detergent, while the lid on Nikki's container can hold 4 fluid ounces of detergent. How many more lids full of detergent does Scott have than Nikki? 10 lids 16 lids 48 lids 64 lids
Given:
Scott and Nikki each have a full 1.5-gallon container of liquid laundry detergent.
Lid on Scott's container can hold 3 fluid ounces of detergent.
Lid on Nikki's container can hold 4 fluid ounces of detergent.
To find:
The number of lids full of detergent Scott have more than Nikki.
Solution:
We know that,
1 gallon = 128 fluid ounces
1.5 gallon = 192 fluid ounces
Lid on Scott's container can hold 3 fluid ounces of detergent. So, number of lids full of detergent Scott have is
[tex]\dfrac{192}{3}=64[/tex]
Lid on Nikki's container can hold 4 fluid ounces of detergent. So, number of lids full of detergent Nikki have is
[tex]\dfrac{192}{4}=48[/tex]
Difference between number of lids is
[tex]64-48=16[/tex]
Therefore, Scott have 16 lids more than Nikki. Hence, the correct option is B.
Answer: it is 16
Step-by-step explanation:
the population in the town of Dexterville is projected to increase by 135% By 2040. If the current population in Dexterville is 2460, what is the projected population by 2040(PLEASE ANSWER QUICKLY I NEED IT ASAP)
It would be 3,321. 2040 times 1.35 equals 3,321.
12r-5=
what is the anser to this problem
Jorge read that 0.72 of his favorite cereal
was whole grain wheat. Find what fraction
of his cereal is whole grain wheat. Write in
simplest form.
Answer:
72%
Hope this helps
Can someone help me ? I need to get the answer but I don’t know how to do it?
Answer:
D) 29.41 oz
Step-by-step explanation:
Maya has 15 cousins, which means she is making 15 bags.
She has 441.15 oz of candy in all. Divide 441.15 with 15:
441.15/15 = 29.41
29.41 oz is your answer, or D).
~
Answer:
D
Step-by-step explanation:
441.15/ 15
I calculated it.
Have a nice day!
I have no clue how to do my math do you think that you could help me
Answer:
maybe if i know the answer ill help
In the 2011 New York City Marathon, 29,867 men finished the race, and 16,928 women finished the race. Each finisher was given a t-shirt. About how many men's shirts were given away? About how many women's shirts were given away? Explain how you found your answers.
Answer:
About 30000 men
About 17000 women
Step-by-step explanation:
This question has to deal with approximation.
We have:
[tex]Men = 29867[/tex]
[tex]Women =16928[/tex]
To get the required answer, we have to approximate the given parameters.
For men, we have:
[tex]Men = 29867[/tex]
[tex]Men =30000[/tex] -- Approximated
For women, we have:
[tex]Women =16928[/tex]
[tex]Women = 17000[/tex] -- Approximated
This implies that about 30000 men and 17000 men received the t shirts
Marissa decides to use synthetic division to find the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1). What value from the divisor should she write in front of the coefficients?
-3
3
-1
1
Answer:
1
Step-by-step explanation:
Set x - 1 equal to zero
x - 1 = 0
x = 1
3) There are 32 students in a class . Twenty four of those students are women . What percent are men ?
Answer:
like this so i can get points ye boi
Step-by-step explanation:
What is A-1?
-3 -2
4 8
can I see a picture of it
Becky needs of $5,000 loan in order to buy a boat which loan option would allow her to pay the least amount of interest
Answer:
b 5.75%
Step-by-step explanation:
Malik has $575 in the bank and each week he withdraws $25 out of his
account. How much money will he have after 8 weeks?
Answer:
375$
Step-by-step explanation:
25*8 is 200, 575-200 is 375
