Doritos' logo is shown to the right. They plan to take the triangular part of the logo shown to the right and enlarge it to fit on a shirt they are using as a promotional give- away. The triangle currently has lengths of 6cm ( side on the left closets to the "D", 4cm (bottom), and 5cm (side on top right). To fit the shirt, they need the side on the left to have a length of 18cm.
a) Set up the proportions
b) Solve for the missing two lengths for the t- shirt design.
please help
9514 1404 393
Answer:
a) 18/6 = b/4 = r/5
b) b = 12, r = 15
Step-by-step explanation:
a) The proportion will simply state the fact that the ratio of shirt dimension to logo dimension is the same for all. We'll use 'b' for the bottom dimension and 'r' for the upper right dimension. Then the proportions are ...
shirt/logo = 18/6 = b/4 = r/5
__
b) In each case, multiply by the denominator to find the value of the variable.
3(4) = b = 12
3(5) = r = 15
The bottom dimension is 12 cm; the top right dimension is 15 cm.
the sum of 11 and m is greater than -23
Answer:
11 + m > -23
Step-by-step explanation:
Answer:
m > -34
Step-by-step explanation:
1 - Translate words to math
The sum of 11 and m
11 + m
is greater than -23
> -23
Therefore our inequality is;
11 + m > -23
2 - Solve it algebraicly
Although we dont use this rule here its good to know.
Unless we divide or multiply by negatives our inequality symbol stays the same. If that rule applies we flip the inequality (i.e. > to < and vice versa)
Now with that out of the way we can fully simplify our inequality as long as we know it works like an equality.
11 + m > -23
-11 -11
m > -34
So with this in mind we know our m value is greater than all numbers greater than -34 which is written as m > -34
Hope this helps :)
Simplify 45 / 3 + 2 * 8 - 12 + 42
Answer:
61
Step-by-step explanation:
Loretta invested $3,000 into an account that earns 6% compounded semiannually. How many times will Loretta earn interest after keeping the
money in the account for 5 years.
Answer:
answer:900
Step-by-step explanation:
[tex]3000 \times 6 \times 5 \div 100 = \\ 300 \times 6 \times 5 = \\ 900[/tex]
•number 3
WILL MARK BRANLIEST IF EQUATION IS CORRECT:)
Answer:
y = 2x
Step-by-step explanation:
For every inch there is 2 feet
Increase £180 by 12.5%
Answer:
202.50
Step-by-step explanation:
Answer:
£202.50
Step-by-step explanation:
£180 by 12.5 % is £180+ (£180*12.5) which is 202.50.
Hope this helps :D
I NEED HELP ASAP!!!! Pleaseeee
Answer:
jhcgskuaygrhfksrhdfcgiuzx6yh
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Step-by-step explanation:
Find the length of AD
Answer:
What is the length of the BC line? It is not clear in the figure
Answer:
x=1
Step-by-step explanation:
as the two triangles are similar
So the equation is
5+x/12=5/10
50+10x=60
10x=60-50
10x=10
x=10/10
therefore
x=1
(2,5), 3, 6) rate of change and slope
Answer:
1 for both slope and rate of change
Step-by-step explanation:
Slope is another word for the rate of change of y with respect to x.
The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction
What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x
Answer:
A: cos x
B: cos y
C: tan y
Step-by-step explanation:
The missing value of A, B and C are as follow:
A: cos x
B: cos y
C: tan y
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (x-y)/ cos (x- y)
Step 2:
= sin x cos y + cos x sin y / cos x cos y - sin x sin y
Step 3:
= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y
step 4:
= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷
(cos x cos y / cos x cos y - sin x sin y / cos x cos y)
Step 5:
= tan x + tan y / 1- tan x tan y
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What 350 / 8. I can't use a calculator or it.
Answer:
43.75 or 175/4 (43 3/4)
Answer:
i think its 43 or 43.75
Step-by-step explanation:
GOOD Connect It Now look at different ways to solve the problem. 2) Write 1,000,000,000 as a product of 10s.
plweasee help me
Answer:
1 x 10^9
Step-by-step explanation:
How do I solve this please?
Answer:
given us,
n=4
here
3^-n+1-3^-n+2
3^-4+1-3^-4+2
-4+1-4+2
-5
Step-by-step explanation:
we can put value in n .we can power add and subtract then we can cut 3 then power we can add or subtract
Please help. We have this for homework.
Answer:
Hey Jeffrey i got to ur school...
lol
Step-by-step explanation:
C
Philip made tables of values to solve a system of equations. First he found that the x-value of the solution was between 0 and 1, and then he found that it was between 0.5 and 1. Next he made this table. Which ordered pair is the best approximation of the exact solution.
Answer:
Step-by-step explanation:
monster
Find the area of a triangle with a base length of 3 units and a height of 4 units. (1 point) 3 square units 6 square units 7 square units 8 square units
Answer:
h
Step-by-step explanation:
h
Answer:
6
Step-by-step explanation:
893.76 divided by 0.21
Answer:
4.265
Step-by-step explanation:
893,76/ 0,21= 4.265
There are 20 boys and 16 girls. what is the largest number of groups that you can form such that boys and girls are distributed equally among the groups?
Answer:
Step-by-step explanation:
First we find the GCF or Greatest Common Factor
20: 1, 2, 4, 5, 10, 20
16: 1, 2, 4, 8, 16
As you can see 4 is the GCF (Greatest Common Factor)
so, the largest number of groups are 4
Unless you are asking for how many girls and boys can be fit in each group then,
20 ÷ 4 = 5
16 ÷ 4 = 4
So, 5 boys and 4 girls are in each group.
Find the commission based on total sales of $152,000 and a commission rate of 1.25%
Answer: $1900
Step-by-step explanation:
Simple math
For the following triangle,
Answer:
3 angles?
Step-by-step explanation:
A county has two elementary schools, both of which have an after-school program for the convenience of working parents. In school A, of the children attend the after-school program; in school of the children attend the after-school program. If school A has 600 students and school B has 900 students , then what is the fraction of elementary school students in the county who attend the after -school program ?
Answer:
8/15
Step-by-step explanation:
Given that school A has 600 students and school B has 900 students.
As in School A, 1/3 of the children attend the after-school program.
So, the number of students in school A, who attend the after-school program, n_A= 1/3 x 600 = 200.
As in School B, 2/3 of the children attend the after-school program.
So, the number of students in school B, who attend the after-school program, n_B= 2/3 x 900 = 600.
Total number of elementary school students in the county who attend the after -school program= n_A +n_B = 200 + 600 = 800.
Total number of elementary school students in the county,
N = 600+900=1500
Hence, the fraction of elementary school students in the county who attend the after-school program = 800/1500 = 8/15.
This is due tonight.. <3 THANKS!! im giving brainliest
Suppose Chau has 8.04 pounds of seed. If it takes 6.7 pounds of seed to plant one acre of grass, how many acres of grass can be planted?
Answer:
its simple ans is 1.2 acres
A triangle has sides with lengths of 65 in 72 in and 97 in is it a right triangle?
Answer:
yes
Step-by-step explanation:
By pythagoras' theorem,
97^2 = 9409
65^2 + 72^2 = 9409
since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle
This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
The given sides form a right angled triangle , beacuse (hypotenuse)^2 = (base)^2 + (height)^2
What is Pythagoras theorem ?The Pythagoras theorem states that if a triangle is a right-angled triangle, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2. Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.
According to the Pythagoras theorem ,
In a right angle triangle square of the hypotenuse is equals to the sum of the square of the other two sides.
⇒ (hypotenuse)^2 = (base)^2 + (height)^2
∴ (65)^2 + (72)^2 = (97)^2
⇒ 4225 + 5184 = 9409
⇒ (97)^2 = 9409
∴ 9409 = 9409
Hence, the given sides form a right angled triangle.
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At the beginning of a baking session, there were 2.26 kilograms of flour in a bag. By the end of the baking session, there were 0.98 kilograms of flour in the bag. What is the percent decrease in the amount of flou
Answer: 56.64%
Step-by-step explanation:
Given: Previous amount of flour = 2.26 kilograms
By the end of the baking session, amount of flour = 0.98 kilograms
Decrease in amount = 2.26-0.98 = 1.28 kilograms
Percent decrese = [tex]\dfrac{\text{decrease in amount }}{\text{previous amount}}\times100[/tex]
[tex]=\dfrac{1.28}{2.26}\times100\approx56.64\%[/tex]
Hence, the percent decrease in the amount of flour = 56.64%
yyyyyyyyyyyyyyyyyyeeeeeeeeeeeeeeeeeettttttttttt
Answer:
yummy
Step-by-step explanation:
Answer:
12+12= 24
Step-by-step explanation:
According to the synthetic division below, which of the following statements are true?
Answer:
Options (A) and (D)
Step-by-step explanation:
We can write the given division as,
[tex]\frac{2x^2+6x-8}{x+5}=2x-4+\frac{12}{x+5}[/tex]
Option (A)
When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.
True.
Option (B)
When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.
False.
Option (C)
When x = 5,
2x² + 6x - 8 = 12
2(5)² + 6(5) - 8 = 50 + 30 - 8
= 72
False.
Option (D)
When x = -5,
2(-5)² + 6(-5) - 8 = 50 - 30 - 8
= 12
True.
Option (E)
(x - 5) is a factor of 2x² + 6x - 8
If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.
False.
Option (F)
(x + 5) is a factor of 2x² + 6x - 8
If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.
But the value is 12.
False.
(6x^2 -x + 8) + (3x-4)
Helppppp meeee
Answer:
6x2+2x+4
Step-by-step explanation:
6x^2 has no like terms
3x -x = 2x
8 - 4 = 4
6x^2 + 2x + 4
Graph. answer asap I need this today will give brainliest
y= –1/4x+5
Need help on this one thx
Kelsey is trying to determine the change in the number of cars sold per month at a local car dealership. Which type of graph would best display the change over time? Month Cars Sold January 30 February 25 March 35 April 40 May 50 bar graph line graph line plot stem and leaf plot
Answer:
line graph i think
Step-by-step explanation:
i'm not sure, i don't even know but i tried
The line graph is best display the change over time to determine the change in the number of cars sold per month at a local car dealership.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Kelsey is trying to determine the change in the number of cars sold per month at a local car dealership.
Now, We know that;
The line graph is best display the change over time.
Hence, The line graph is best display the change over time to determine the change in the number of cars sold per month at a local car dealership.
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