Answer:
7.071inches
Step-by-step explanation:
The set up is a right angled triangle
Given 'angle of elevation = 45 degrees
The length of the frame = 10in (hypotenuse)
Required
Height of the truck h (opposite)
Using the SOH trig identity
sin theta = opposite/hyp
sin 45 = h/10
h = 10sin45
h = 10(0.7071)
h = 7.071 in
Hence the height of the truck is 7.071inches
Monica had a savings account that paid her an interest rate of 4%. After she had this account for 12 years, she had received $192 in interest. How much money had she put into the account at the beginning of the 12 years?
Answer:
Money she put in her account = $400
Step-by-step explanation:
As, to find the interest the formula is PTR/100 = I
Where P = Principcal
And T = time (in years)
And R = rate
And I = interest
So here p is not present we need to find it
R = 4%
And T = 12 years
And I = $192
= p x 4 x 12 /100 = 192
P x 4 x 12 = 19200
P x 48 = 19200
P = 19200/48
P = 400
So Principcal = $400
A pastry chef can decorate 1 cake in 7 minutes. How many cakes can he
decorate in 56 minutes?
A. 392 cakes
B. 8 cakes
C. 9 cakes
D. 63 cakes
suris age is 4 less than 3 times her cousins age. suri is 17 years old. which method can be used to find c, her cousins age?
A vending machine that serves coffee pours a varying amount of liquid into a cup with varying mass. Assume
that the masses of the liquid and the cup are independent.
Here are summary statistics for the masses of the liquid and the cups:
Mean
Standard deviation
Liquid
HL
250 g
D = 20 g
Cup
HC = 150g
a = 10g
Let T = the total mass of a randomly selected cup filled with liquid from this machine.
Find the mean of T.
HT =
grams
Stuck? Watch a video or use a hint.
Report a problem
Answer:400
Step-by-step explanation:
The mean of T is the expected weight of a selected cup filled with liquid
The mean of T is 400
The data on the table is given as:
Mean Standard Deviation
Liquid 250g 20g
Cup 150g 10g
Represent Liquid with L, and cup with C
To calculate the mean of T, we make use of the following formula for expected value
E(L + C)
Since L and C are independent random variables, then
[tex]E(L + C) = E(L) + E(C)[/tex]
Where E(L) and E(C) are the mean values of liquids and cups.
The equation becomes
[tex]E(L + C) = 250g + 150g[/tex]
[tex]E(L + C) = 400g[/tex]
Hence, the mean of T is 400
Read more about mean at:
https://brainly.com/question/13005177
PLEASE HELP. I don't understand! I will give brainliest!
Below is a graph that contains the lines for all the above equations. Find the line that represents each equation, based on the ordered pairs, and write the equation next to each letter for the line that it represents.
What is the equation for A, B, and E?
Answer:
A is Y equally X
B is X equally 2
E is Y equally -5
Evaluate the expression.62−4÷2 62−4÷2
Answer:
[tex]62 - (4 \div 2)62 - (4 \div 2) \\ = 62 - (2 \times 62) - 2 \\ = 60 - 124 \\ = - 62[/tex]
or if the question is 62 - 4 ÷ 2
= 62-(4÷2)
=62-2
=60
Which is the range of this function?
{(-5, 7), (-3, 10), (0, 2), (4, 6), (9, 0)}
Answer:
{y | y = -9, -3, 0, 5, 7}
Step-by-step explanation:
i think thats the anwer
how do you solve 9 tenths minus 13 fiftenths
Answer:
0.04
Step-by-step explanation:
1. 9/10 = 0.9 and 13/15 = 0.86
2. Subtract 0.9 and 0.86
3. You should end up with 0.04
Remember when a number goes like 0.86666666666 to use 0.86 or if it has 0.86666666667 to use 0.87 because you would be simplifying it.
Methane emissions account for 7% of Florida’s
________________ .
Methane from Florida’s livestock is being used to generate clean __________ .
Answers:
1: Greenhouse gas emissions
2: Electricity
Answer:
Methane emissions account for 7% of Florida’s
Greenhouse gas emissions .
Methane from Florida’s livestock is being used to generate clean
Electricity .
Step-by-step explanation:
You had it right! Great job!
Answer:
green house emissions and electricity
Step-by-step explanation:
i just took it
Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm
Answer:
Answer is explained in the explanation section
Step-by-step explanation:
Solution:
Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.
Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]
Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]
First of all let's check the first triangle is right triangle or not.
a = 12
b= 16
c= 20
So,
[tex]a^{2} + b^{2} = c^{2}[/tex].
144 + 256 = 400
400 = 400
Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle
hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.
Now, we have find out the side opposite to the 90 degrees angle, which is c.
we also know that, right triangles sides follow the pattern of 3x,4x and 5x
Since, c is the longest side.
Hence, c= 5x
Need help ASAP... 10 points!!
Answer:
I'm 89.73% sure that the answer is 90 degrees
Step-by-step explanation:
because you are on a right angle
these are answers
Use the algebra tiles to model x – 3.
Then complete the statements.
The variable is represented by
✔ one orange x tile
Subtracting three is represented by
✔ three blue – tiles
.
The tiles represent
✔ subtracting 3 from
an unknown number.
yuh the answers: a, d, d, for anyone who didnt understand
Answer:
A.D.D
Step-by-step explanation:
On Edge 2022
HOPED THIS HELPED YOU OUT
who ever gets this right first,gets brainliest !
Answer:
C: enlargement, reflection over the y-axis
Step-by-step explanation:
the shape on the right is the prime and it was reflect over the y-acis and then dialated
Pls help I give u 50 points
Answer:
interest: $60
Payment: $360
Step-by-step explanation:
I = Prt
Interest for four years = 300 * 0.05 * 4 = 60
P = P₁ + I = 300 + 60 = 360
What is the exponential expression for the numerical expression 3⋅3⋅3⋅3 ? 43 4⋅34 124 34
Guys help me please I need the solution. Find x and y
Is 4/5 greater than 9/19
the probability of randomly selecting a four-person committee consisting entirely of canadians from a pool of 11 americans and 18 canadian
Answer:
[tex]Probability =0.1744[/tex]
Step-by-step explanation:
Given
Total
[tex]American = 11[/tex]
[tex]Canadian = 18[/tex]
Selection
[tex]American = 0[/tex]
[tex]Canadian = 4[/tex]
Required
Determine the probability of selecting a 4 committee member that are Canadian.
First, we calculate total possible selection.
[tex]Total = American + Canadian[/tex]
[tex]Total = 11 + 18[/tex]
[tex]Total = 27[/tex]
Number of ways to select 4 from 27 is:
[tex]^{27}C_4 = \frac{27!}{(27-4)!4!}[/tex]
[tex]^{27}C_4 = \frac{27!}{23!4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24*23!}{23!4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24}{4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24}{4*3*2*1}[/tex]
[tex]^{27}C_4 = \frac{421200}{24}[/tex]
[tex]^{27}C_4 = 17550[/tex]
Next, we calculate ways of selecting 4 Canadians from 18 is:
[tex]^{18}C_4 = \frac{18!}{(18-4)!4!}[/tex]
[tex]^{18}C_4 = \frac{18!}{14!4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15*14!}{14!4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15}{4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15}{4*3*2*1}[/tex]
[tex]^{18}C_4 = \frac{73440}{24}[/tex]
[tex]^{18}C_4 = 3060[/tex]
The required probability is:
[tex]Probability =\frac{3060}{17550}[/tex]
[tex]Probability =0.1744[/tex]
give a description of the rules for the order of operation in your own words
Answer:
Order of opoation is a techniqe that gives us a easier way to figure out work
Step-by-step explanation:
Please mark me as brainiset
Aliyah spent $27 on nine fancy pens.
How much did each pen cost?
Answer:
3 dollars
Step-by-step explanation:
Answer:
$3
Step-by-step explanation:
27/9
Pls answer ASAP I will give brainliest answer
Answer:
34.328125
Step-by-step explanation:
Melanie earns $7 per hour when she
baby-sits. An equation for this relation
is w = 7h, where h represents the
number of hours and w represents
Melanie's wage in dollars.
a) Use the equation to create a table
of values.
b) In one week, Melanie earned $105.
How many hours did she baby-sit?
c) In one month, Melanie baby-sat for
24 h. How much did she earn
from baby-sitting in that month
Answer:
A) We know that she make $7 per hour, with this we can make a table:
1hr | $7
2hr | $14
3hr | $21
etc...
B) If in one week she earns $105 and 1w = 7h (1hr = $7) holds true, that means that we have to divide 105 by 7 which gives us 15hrs
C) If she baby-sat for 24hrs, we just have to multiply that by 7 and we get $168
Hope that helped!
jackie's is twice the age of lynn the sum of there age is 48 how old is jackie
Answer:
Jackie is 32
Step-by-step explanation:
48 / 3 = 16
16 * 2 = 32
32 years old
A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan's spins.
Find the experimental probability of landing on each color. Enter your answers as simplified fractions.
Color
Red: 13
Yellow: 10
Blue: 5
Frequency
The probability of landing on red is
The probability of landing on yellow is
The probability of landing on blue is
This table represents a proportional relationship. Use the table to identify the constant of proportionality between the ratio of the number of laps to the number of swimmers.
The constant of proportionality is ___
Answer:
12
Step-by-step explanation:
We all hate school
Answer:
The answer that you're looking for is 12
Step-by-step explanation:
What is the constant of proportionality for the table below?
Answer:
38
Step-by-step explanation:
Can someone please help!!!!
Answer:
2/5
Step-by-step explanation:
since the denominators are the same, the question is basically -4+6, which is 2. But remember to include the denominator
If the circumference of a circle measures 3pi. cm, what is the area of the circle in terms of pi.
Answer:
the circumference equation is 2pi r and the circumference for this problem is 3pi so that would mean that the radius is 1.5
with that info, we can find out the area of the circle which is pi r squared.
1.5*1.5=2.25
AREA=2.25pi
a local club lottery offers a standard prize of $50 and there is one drawing each week. If there is no winner drawn, the prize triples for the following week. This pattern continues until the prize is won. If no wins in the first 5 weeks, how much will the prize be for week 6?
Answer:
300
Step-by-step explanation:
Every week you add 50 so 50x6 is 300
Natalie sawed five boards of equal length to make a stool. Each was 9 tenths of a meter long. What is the total length of the boards
she sawed?
PLS HELP
