Brian needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the difference between the area of the large triangle and the area of the small triangle? 7.5 cm2 15.0 cm2 19.5 cm2 39.0 cm2

Answers

Answer 1

;small triangle;
ab/2

ab/2

(6) (2) / 2

12/2

6

;large triangle ;
ab/2

(9) (3)/2

27/2

13.5

------------
13.5 - 6 =7.5

7.5 cm² (A)

Answer 2

small triangle:

ab/2

ab/2

(6) (2) / 2

12/2

6

large triangle:
ab/2

(9) (3)/2

27/2

13.5

13.5 - 6 =7.5

7.5 cm² (A)

Related Questions

Find the 4th term if the sequend in which a1 = 2 and a n+1 = -4a n + 2.

Answers

The given sequence is
[tex]a_{1}=2 \\ a_{n+1}=-4a_{n}+2[/tex]

Write the first 4 terms.
When n=1, obtain
a₁ = 2
When n=2, obtain
a₂ = -4a₁ + 2
= -4(2) + 2 = -8 + 2
= -6
When n=3, obtain
a₃ = -4a₂ + 2
= -4(-6) + 2 = 24 + 2
= 26
When n=4, obtain
a₄ = -4a₃ + 2
= -4(26) + 2 = -104 + 2
= -102

Answer: a₄ = -102

Chase answers 3/4 of his math questions correctly. There were 40 questions on the test.

a. How many did he get right?

b. How many did he miss?

Answers

Since there were 40 questions on a math quiz and he got 3/4 correct he got 30 correct and 10 incorrect.
A simple way to solve this is to add a zero to the end of each number in the fraction since there is 40 questions so it goes from 3/4 correct to 30/40 correct.
Hope this helps!!

Final answer:

Chase answered 30 questions correctly and missed 10 questions.

Explanation:

To find the number of questions Chase got right, multiply the fraction of questions answered correctly (3/4) by the total number of questions (40):

Number of questions answered correctly = (3/4) * 40 = 30

To find the number of questions Chase missed, subtract the number of questions he got right from the total number of questions:

Number of questions missed = 40 - 30 = 10

Learn more about Fraction here:

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Television screens are measured along the diagonal. A certain 53-inch television is 45 inches wide. Which measurement represents the length of the hypotenuse?

Answers

the diagonal line. try visualizing the "sliced " into half. the diagonal line will be the side opposite the 90 degree angle, and being opposite of the right angle of the triangle proves that the hypotenuse of the is its diagonal line, which is 45-inch ((:

Answer:

Step-by-step explanation:

The right answer is 53in

Why cant you add the exponnents in the product 12 exponent 3 × 11 exponent 3

Answers

Because you are multiplying the bottom numbers and not adding it so it would be 132 in the exponent of 9

I've got two of these kinds of problems and no clue how to do them, help please!

Answers

Hello,

[tex]3x^3+2x^2-3x-2=0\\ 3x^3-3x+2x^2-2=0\\ 3x(x^2-1)+2(x^2-1)=0\\ (x^2-1)(3x+2)=0\\ (x-1)(x+1)(3x+2)=0\\ Sol=\{- \dfrac{2}{3}, -1,1 \} [/tex]

Doesn't X equal 0 because anything times 0 equals 0

Stuck on this problem

Answers

step 2 would be 10

step 4 would be 10x-x = 9x =7

x = 7/9

Step 2: 10
Step 4: 9x
7/9

Hope this helps (;

Diego wanted to find the 7% sales tax on purchases that total $15.99. On his calculator the display showed $1.1193 as the tax. How much sales tax will Diego pay?

Answers

If I understand this question correctly, Diego will pay $1.12 because the 9 rounds the 1 up to a 2.

Write down three different improper fractions for the number four

Answers

1, 3, and 5 I think. You should maybe search it up

How much longer is the hypotenuse

Answers

x= sqrt(6^2 +8^2)

sqrt ( 100)

x=10

10-6 = 4

it is 4 feet longer than the shortest leg

AB² = 6² + 8² = 36 + 64 = 100
AB = √100 = 10 ft

Shorter leg is AC=6 ft

AB - AC = 10 - 6 = 4 ft

The hypotenuse is 4 ft longer than the shorter leg.

Barry orders a wallet for $12.99, a sweater for $20.99, and a watch for $66.49 from a mail-order catalog. He adds $12.06 for tax, shipping, and handling. What is the total cost of Barry’s order?

Answers

Hi!

To answer this, simply add all of the values together to get the final answer.

12.99 + 20.99 + 66.49 + 12.06 = 112.53

The answer is 112.53

Hope this helps! :)

What is the value of the expression if z=27 7/9z-18+1/3z

Answers

The answer for this question would be: 4/81.

Answer:

The value of the expression is 12.

Step-by-step explanation:

Given : Expression [tex]\frac{7}{9}z-18+\frac{1}{3}z[/tex] , where z=27

To find : The value of expression when z=27

Solution :

Given expression:

[tex]\frac{7}{9}z-18+\frac{1}{3}z[/tex]

Substitute value of z=27

[tex]=\frac{7}{9}(27)-18+\frac{1}{3}(27)[/tex]

[tex]=7\times 3-18+1\times 9[/tex]

[tex]=21-18+9[/tex]

[tex]=21-9[/tex]

[tex]=12[/tex]

Therefore, The value of the expression is 12.

How do variables help you model real-world situations? Give an example of a model that uses variables and explain how it helps people make predictions.

Answers

Variables are an integral part of the equations.
With equations, you can simulate almost any process. For example, you can take the formula for payroll. (P)Payment=(T)the number of hours multiplied by the (R)rate per hour.P=T*R.In this formula, rate per hour (R) is constant (sometimes revised, of course).And the Number of hours worked is variable. Every month the number of hours changes. So, to calculate the payroll helps modeling with the use of a formula.

SOMEONE PLEASE GIVE ME THE RIGHT ANSWER!
The Baldwin family walked four over five of a mile in four over nine of an hour. What is their unit rate in miles per hour?

A.) four-ninths over four-fifths equals four over nine miles per hour
B.) four-fifths over four-ninths equals one and four-fifths miles per hour
C.) four-ninths over four-fifths equals one and four-fifths miles per hour
D.) four-fifths over four-ninths equals four over nine miles per hour

Answers

(4/5) / (4/9) = 4/5 * 9/4 = 36/20 = 9/5 = 1 4/5 miles per hour

so B.) one and four-fifths mph

Answer:

Step-by-step explanation:

4/5 go over 4/9 because you are trying to find the unit rate of miles per hour. Since 4/5 is the mile, put that over 4/9. Then, simply divide the two fractions. Which is 1 over 4/5.

The area of a square mirror is 256in^2. A rectangular mirror has a width the same as the square mirror's width. Its length is two inches longer than its width. What is the area of the rectangular mirror?

Answers

256 = l×w

l = 2 + w

substitute the "l" in the first equation with the second equation (2+w) and solve for "w". Once you find it, plug into the second equation to find "l". Use the area formula for rectangles to find the area. Hope this helps!

2x+3y=-5
3x-5y=21

The value of y that satisfies the system of the equations above is
A) 2
B)7
C) -3
D)There is no solution

Answers

You have to find a way to eliminate either x and y. We'll eliminate x:

2x + 3y = -5
3x - 5y = 21

2x*3 + 3y*3 = -5*3
3x*-2 + -5y*-2 = 21*-2

6x + 9y = -15
-6x + 10y = -42

19y = -57

y = -3

Mariah had owed her grandfather $2.25 but was recently able to pay him back $1.50. How much does Mariah currently owe her grandfather.

Answers

2.25-1.50=.75.He already paid 1.50 so he has only .75 left to pay

Thanks for the points! BTW, I have the same question.

Which is not a true statement? A 346.91 < 347 B 586.0041 < 586.0004 C 637.750 = 637.75 D 959.0059 < 959.006

Answers

B because 586.0041 is more than 586.0004 not less than.

The value of 34 + 6 ⋅ 5 = ___.

Answers

the answer is 64 because you have the multiply before you add

34+6×5=

multiply

34+30=

add

64

Devaughn's age is two times Sydney's age. The sum of their ages is 30

. What is Sydney's age?

Answers

D=2S

D+ S = 30

2s+S = 30

3S=30

S=30/3 = 10

Sydney is 10

Devaughn is 2*10 = 20

Can you help me solve both

Answers

#6) 232/15 = 15.4666

sqrt(15.4666) = 3.932

3.932 * 3.932 x 15 = 231.91

so edge is approximately 3.9 m

#7) 232/2 = 116

sqrt(116)=10.770

10.77 * 10.77 * 2 = 231.99

so edge is approximately 10.8 m

Which unit of measurement would Guatemalans typically use to measure milk for a recipe? a) milliliters b) grams c) ounces d) gallons

Answers

Guatemalans would use milliliters because they use the metric system which is common throughout Latin America and which is basically easier to use than the Imperial system because it is all divisible by 10 whether it be millitres,litres,meters, kilometers etc.

square root of 16r raised to the 6

Answers

If you mean: (√(16r)^6 that is the same as:

(16r)^(1/2)^6

relevant rule: (a^b)^c=a^(b*c), in this case

(16r)^(6*1/2)

(16r)^3

4096r^3

Answer:

4r^3

Step-by-step explanation:

The trick is to look for squared value and then to take them outside the square root but not in squared form.

Help me quick plz thanks

Answers

add 12-3 = 9

the difference is 9

Which expression could be used to determine the product of –4 and 3 1/4?

Answers

Final answer:

To determine the product of -4 and 3 1/4, multiply the whole numbers and the fractions separately, and then add the results together.

Explanation:

The product of -4 and 3 1/4 can be determined by multiplying the whole number part, -4, by the whole number part of the mixed number, 3, and then multiplying the fraction part, 1/4, by the whole number part of the mixed number and adding the result to the previous product.

So, -4 × 3 = -12

and (-4) × (1/4) = -1

Therefore, the product of -4 and 3 1/4 is -12 - 1/4 = -12 1/4.

Final answer:

To find the product of -4 and 3 1/4, convert the mixed number to an improper fraction and then multiply.

Explanation:

The product of -4 and 3 1/4 can be found using the expression:

-4 x 3 1/4

To multiply a whole number by a mixed number, you can convert the mixed number into an improper fraction and then multiply:

-4 x 13/4

Multiplying whole numbers and fractions can be done by multiplying the numerators and denominators separately:

-4 x 13 = -52

4 x 1 = 4

The final answer is -52/4, which simplifies to -13.

Which number makes this sentence true?
21:30=x:50

A. X=30
B. X=32
C. X=35
D. X=41

Answers

the answer is a) x=30

what is the 8th term of this geometric sequence 6,48,384,3072

Answers

common ratio can be found by dividing the 2nd term by the first
r = 48/6
r = 8

an = a1 * r^(n-1)
n = term to find = 8
a1 = first number = 6
r = common ratio = 8
now we sub
a(8) = 6 * 8^(8-1)
a(8) = 6 * 8^7
a(8) = 6 * 2097152
a(8) = 12582912 <==

Write in standard form 60000+80000+10=

Answers

To solve this problem to standard form means adding all those numbers together.
600,000+80,000= 680,000680,000+10= 680,010
680,010 is your answer

Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up?

Answers

To solve this problem, let us first remember that probability is:

Probability = number of successful events / number of total events

Now, let us first calculate the probability of getting a blue marble. There are 20 blue marbles out of 50 total marbles, therefore the probability is:

P (blue marble) = 20 / 50 = 0.4

Next, let us calculate for the probability of landing tails up. There are 22 tails success out of 50 times the coin was tossed, therefore the probability is:

P (tails) = 22 / 50 = 0.44

Finally, since we want to find the Probability of getting blue and Probability of landing tails, we multiply the two:

P (blue and tails) = 0.4 * 0.44

P (blue and tails) = 0.176 (ANSWER)

Now if the choices are in fraction:

P (blue and tails) = (20 / 50) (22 / 50) = 440 / 2500

Answer:

The answer is 440/2500

Step-by-step explanation:

Bradley needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the total area of the two triangles that need to be painted?

Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 7 cm, and its base is 3 cm.

Answers

The formula to find area of a triangle is (base × height) ÷ 2

The area of the first triangle = (6 × 2) ÷ 2 = 6
The area of the second triangle = (7 × 3) = 10.5

Total area of the logo is 6+10.5 = 16.5 cm²

You need to cut a 9 foot piece of plywood into 12 inch sections. Every cut also removes 1/8 inch. How much of the plywood will be left after cutting the 12 inch sections?

Answers

There are 9 feet so it would usually be nine 12" pieces but since each cut takes away 1/8, you can only cut 8 pieces equal to 12 inches.

Considering this fact, each cut would take away 0.125 inches. If you're cutting 8 times, you would in all be taking away 1 inch.

So aside from the eight 12" sections, you would have a leftover of 11 inches.

11 inches of the plywood will be left after cutting the 12 inch sections.

What is Fraction?

A fraction represents a part of a whole.

Given that we need to cut a 9 foot piece of plywood into 12 inch sections and every cut also removes 1/8 inch.

We are to find the quantity of plywood that will be left after cutting the 12 inch section.

We know that 1 foot = 12 inches.

So, 9 foot = 12 × 9 = 108 inches.

Since each cut removes 1/8 inch at ever cut, so the number of 12 inch sections will be 8.

Quantity of plywood that remained after cutting the 12 inch sections will be 108-12×8-8×1/8=11

Hence, 11 inches of the plywood will be left after cutting the 12 inch sections.

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