Answer:
6 miles
Step-by-step explanation:
Given that the candy store that is due south of her school and due west of her favorite skate park, the distance between the the school and the skate park when considered with the distance between the candy store and her school and that between the candy store and her favorite skate park gives us a right angled triangle.
The distance between the school and the skate park is the longest side (hypotenuse of the triangle so formed). As such, using Pythagoras theorem
10^2 = 8^2 + x^2 where x is the distance between the Candy store and the skate park
100 = 64 + x^2
100 - 64 = x^2
36 = x^2
6^2 = x^2
x = 6
The distance between the candy store and the skate park is 6 miles
The sum of 3 consecutive integers is 45. What is the product of the 1st and 3rd number.
Step-by-step explanation:
Let the required integers be x,x+1,x+2.
Therefore,
x+x+1+x+2=45
3x+3=45
3x=42
x=14
Hence, the required integers are 14,15,16.
Type the expression that results from the following series of steps:
Start with n, times by 2, then subtract 8.
Answer:
2n-8
Step-by-step explanation:
I think its 2n-8. but wait till someone else responds
Answer:
2n - 8
Step-by-step explanation:
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
Answer:
11.6m
Step-by-step explanation:
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
We solve the above question using the Trigonometric function of Sine.
sin θ = Opposite/ Hypotenuse
Hypotenuse = Length of the ladder = 13.5m
Opposite = d
θ = 59° 22'
= 59° + 22/60
= 59° + 0.367
= 59.367°
Hence,
sin 59.367 = d/13.5m
d = sin 59.367 × 13.5m
d = 11.616057416m
Approximately = 11.6m
Therefore, the distance d the ladder goes up the wall is 11.6m
The population of Dawn land is changing exponentially. This change is modeled by the function f(x) = 60,000(1.01)x . Interpret the function to describe how the population changes. Explain how you know.
Answer:
The function has an initial population size of 60,000 which increase at a rate of 1%
Step-by-step explanation:
Given the expression :
f(x) = 60,000(1.01)^x
Since 1.01 > 1 (exponential
The general form of an Exponential growth function.
y = p(1 + r)^x
p = 60000 = initial population
1 + r = 1.01 ; where r = growth rate
r = 1.01 - 1 ; r = 0.01 =
r = 0.01 * 100% = 1% growth rate
Use the figure.
diameter is 10m
A circle has a diameter labeled ten meters.
Find the circumference. Round your answer to the nearest hundredth. Use 3.14 for π
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPT
Step-by-step explanation:
Answer:
Formula for the circumference of a circle =2pir
Since the diameter is 10m the radius is half of that which is 5m.
2×3.14×5=31.4m
Step-by-step explanation:
I hope this helps.Have a great day♡
There is a bag filled with 2 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer:
Question:
A bag with 2 blue (B), 4 red (R) and 5 green (G) marbles (total 11 marbles).
Two are drawn at random without replacement.
Find probability of getting two marbles of same colour.
Solution:
We can get either 2B, 2R or 2G as successful outcomes.
To get two blue marbles (2B),
probability of the first one being blue = P(B)=2/11
probability of the second blue marble = P(-B)=1/10 (one left out of 10 left)
Probability that both are blue (use multiplication rule)
P(2B)=(2/11)(1/10)=2/110
Similarly, for two red marbles
P(2R)=(4/11)(3/10)=12/110
and for two green marbles
P(2G)=(5/11)(4/10)=20/110
Since all three events 2B, 2R and 2G are mutually exclusive, the probability
that any one can happen is the sum of the individual probabilities, thus
probability of getting two marbles of the same colour (without replacement)
=P(2B)+P(2R)+P(2G)
=2/110 + 12/110 + 20/110
=34/110
= 17/55
Step-by-step explanation:
4/11
hope this helps
A pounds of apples and b pounds of plums were packed into n boxes. How many pounds of fruit are there in each box?
Answer:
(a + b) / n
Step-by-step explanation:
Pounds of apple in box = a
Pounds of plum in box = b
Number of boxes used in packing = n
The amount fruit in pounds that are in each box :
Total pound of fruits / number of boxes used
Total pounds of fruit = a + b
Number of boxes used = n
Hence, we have ;
(a + b) / n
why is it important to know the shape of the base of the pyramid
Answer:The pyramid had sloping sides so that the dead pharaoh could symbolically climb to the sky and live forever. The pyramid represented the rays of the Sun I hope this helps
Step-by-step explanation:
What is y-intercept represented in the graph below?
Which expression is equivalent to three eighths? (2 points)
a
8 ÷ 3
b
3 ÷ 8
c
8 − 3
d
3 − 8
Answer:
A
Step-by-step explanation:
Answer:
its A/ 8 divided by 3.
find the value of given expression
[tex] \sqrt{31 \times 31} [/tex]
Answer:
31 is the answers for the question
Step-by-step explanation:
please give me brainlest
Answer:
[tex]\sqrt{31\times31}[/tex]
Multiply 31 × 31= 961
[tex]961=31^2[/tex]
[tex]=\sqrt{31^2}[/tex]
[tex]=31[/tex]
OAmalOHopeO
Can anyone help me with this question please ?
I’ll mark you as a brainliest
NEED HELP ASAP
If the side lengths of a cube are 15 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
15 ⋅ 15 ⋅ 15
15 ⋅ 3
3^15
15^3
Which fraction is equivalent to
-(7/8)?
Answer:
35/40
I think that’s what you mean? Hope this helped
Step-by-step explanation:
A group of friends were working on a student film that had a budget of $1200. They spent all their budget on costumes and equipment. They used 33% of their budget on equipment. How much money did they spend on costumes?
Answer:
$804
Step-by-step explanation:
33%=0.33----Covert the percentage as a decimal.
0.33*1200=396----Multiply the decimal by the price of budget. This is the cost of equipment.
$1200-$396=$804----Subtract the cost of equipment ($396) by the cost of budget($1200). You get $804!
Hope this helped.
Answer:
804
Step-by-step explanation:
what the other person said
Write an expression using variables and/or numbers for the statement. Omaya picked x amount of apples, took a break, and then picked v more. Write the expression that models the total number of apples Omaya picked.
Answer:
x+v
Step-by-step explanation:
brainlest?
Find the 11th term in the geometric sequence: 4, 6, 9,....
Answer:
69
Step-by-step explanation:
let the first term be n
second term = 2 + n
third term = 3 + second term so we can conclude that the other term will be:
forth term = 4 + third term
fifth term = 5 + forth term etc.
eleventh term will be 11 + 10 term
based on observations the tenth term is 58 so
eleventh term= 11 + 58
= 69
Help!
JH is a mid-segment of KLM. Find the value of x.
JH = mid-segment of triangle KLM.
ML = 22
(1/2)(ML) = 11
JH = (1/2)(ML) = x
So, x = 11.
Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded.Then,an event is described as:the sum of the two up faces are recorded. Describe the random variable, X, in this event.Writethe sample space of this event. Calculatethe probability of rolling a 4, and probability of rolling a 12.
Answer:
1.The random variable X can take any value from( 2,- ----,12) in the event of the sample space.
2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]
3. The probability of getting a 4 = 1/12
4. The probability of getting a 12 = 1/36
Step-by-step explanation:
There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .
The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]
The random variable X can take any value from( 2,- ----,12) in the event of the sample space.
The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]
that is it has all the possible outcomes of both the dice.
The probability of getting a 4= Number of fav outcome/ no of possible outcomes= 3/ 36= 1/12
The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36
Its all in the picture-
The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 25 ounces of trail mix?
Consider the following pair of equations:
y = −2x + 8
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(3,2)
Step-by-step explanation:
y = -2x + 8
y = x-1
Substitute x-1 for y in the equation y = -2x + 8. x-1 = -2x + 8
Use the Additive Property to move the
constant terms to one side of the equation. x-1 = -2x + 8
+1 +1
x = -2x + 9
Now do the same to the variable terms. +2x +2x
3x = 9
Divide both sides of the equation by the
constant in the variable term. ÷3 = ÷3
x = 3
To find y, simply substitute the value of x into
one of the original equations. y = x-1
y = 3-1
Solve: y = 2
The solution is (3, 2).
Please help ! (Pls DONT send a link)
Answer:
33
because every other number is a multiple of five, but not 33
Step-by-step explanation:
help a girl outtttt please
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
ok, so, since the angles in a traingle all sum up to 180°, that would make:
36°+61°+(4x-17)°=180°
We simplify it:
95°+(4x-17)°=180°
Then, we subtract 95° on both sides:
95°+(4x-17)°=180°
-95° -95°
Then we get:
4x-17°=85
We add 17° on both sides
4x-17°=85
+17° +17°
And we get:
4x=102°
Divide 4 on both sides...
4x=102°
➗4 ➗4
Therefor:
X=25.5
Hope this helps, but tell me if i'm wrong, and have a good day!
The measure of two consecutive angles of a parallelogram are in the ration of 7:5. What is the measure of the obtuse angle of the parallelogram.
Consecutive angles in a parallelogram are supplementary angles which when added together equal 180 degrees.
The ratio is 7:5 so we would have:
7x + 5x = 180
Simplify:
12x = 180
Divide both sides by 12:
X = 15
So one angle is 7 x 15 = 105 degrees
The other angle is 5 x 15 = 75 degrees
An obtuse angle is an angle greater than 90 degrees.
The obtuse angle would be 105 degrees.
Sue has $74,210 in a savings account. The interest rate is 15% per year and is not compounded. How much will she have in 2 years? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$22,263
Step-by-step explanation:
15% of $74,210 is $11,131.50 so $11,131.50 X 2= $22,263
so after 2 years the total amount of money along with interest will be a total of = $96,473
A factory produces 80,000 candies each day.They produce equal quantity of four flavors:cherry,lemon,orange and strawberry. The candies are mix together during packaging. What is the probability of selecting orange.
Answer:
1 /4
Step-by-step explanation:
Total number of candies produced per day = 80,000
Number of flavors made = 4
Since the number of each flavor produced are equal ;
Number of each flavor produced :
80000 /4 = 20000
Probability of selecting orange flavor :
Number of orange flavor / total candies produced
= 20000 / 80000
= 1/4
I NEED YOUR OPINION PLEASE
okay , so I am 13 years old . I had gotten my cartilage pierced on both ears for my 13th birthday. Fast foward, I had asked my mom if I could get another cartilage piercing and my tragus pierced . She told me to ask my father. I did not . So I had pierced my tragus and my cartilage on my ear .. And my mom nor my dad has no clue I done it .
I just feel guilty hiding it from them , more so my mom ..
Can anyone give me advice on how to tell them PLEASEEEEEEEEEE
You're gonna get caught anyways, just come out. If you don't, figure out a way to undo it.
- Find the perimeter of the figure.
R(3,4)
S(-8,1)
T(1,-2)