A rectangle has a length that is 4 inches longer than it’s width .its perimeter is 36 inches which of the following is its area
54
64
77
81

Answer:

The answer is 4 hope this helps

Answer:

(ii) 6 cm, 1.1 cm, 6.1 cm

Step-by-step explanation:

Knowing that all right triangles obey the Pythagorean Theorem, we can test both sets of numbers. The longest of the 3, the hypotenuse, is substituted to the c value of the equation a^2 + b^2 = c^2. If the equation is still true after substituting and simplifying both sides, that combination of triangle lengths is the correct answer. In this case, 6^2 + 1.1^2 and 6.1^2 are both equal to 37.21, so the second set is correct.

Step-by-step explanation:

as we know, 1 exterior angle is equal to 2 interior angle

therefore let angle u be x.

now,

→ 65° + x = 105

→ x = 105 - 65 = 40°

therefore

TUS = 40°

and to know measure of angle TSU apply angle sum property of triangle in ∆TUS

so,

65 + 40 + TSU = 180

105 + TSU = 180

TSU = 180 - 105 = 75°

therefore,

TSU = 75°

hope this answer helps you dear! take care

Answer:

[tex]r\geq -18[/tex]

Step-by-step explanation:

[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Proof below.

Step-by-step explanation:

Let f(n)=10+ n^2 - (n - 2)^2.

We want to prove f is even for integer n > or = 1.

Let's show f is even for the base case, n=1.

f(1)=10+1^2-(1-2)^2

f(1)=10+1-(-1)^2

f(1)=11-(1)

f(1)=10

f(1) is even.

Let's assume the for some integer k > or = 1 , we have f(k) is even. This means there is some integer m so that f(k)=2m.

Note: f(k)=10+ k^2 - (k - 2)^2.

We want to show f(k+1) is even.

f(k+1)=10+ (k+1)^2 - ([k+1] - 2)^2

f(k+1)=10+ (k+1)^2 - (k-1)^2

f(k+1)=10+ ((k+1)^2 - (k-1)^2)

That difference is a difference of squares. Let's try factoring it.

f(k+1)=10+ (k+1-[k-1])(k+1+[k-1])

f(k+1)=10+ (2)(2k)

Multiply:

f(k+1)=10+4k

Turns out we didn't even need to use our induction hypothesis since 10+4k is 2(5+2k) which makes f(k+1) even given the factor of 2 present.

This proves for all integers n>=1 that f(n) is even.

We could have this without induction then. Let's do that here below this line.

-------------------

10+ n^2 - (n - 2)^2

10+[n^2 - (n - 2)^2]

Factor difference of squares:

10+(n-(n-2))(n+(n-2))

Simplify:

10+(2)(2n-2)

Factor:

2[5+(2n-2)]

Because of the factor of 2, the given expression is always even for integer n.

Answer:

It would be 2 times the old perimeter.

[tex]\text{Given that,}\\\\(x_1,y_1) = (-3,-1) ~ \text{and slope, m=2.}\\\\\\\text{Equation with two points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +1 = 2(x +3)\\\\\text{Hence the answer is B}[/tex]

answer.

86 630

explanation.

Answer:

im pretty sure its D

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

Answer:  

(2,4)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

The total volume of both storage is 76 ft³

The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes centimetres³, metres³, inches,³ feet³, etc.

A solid three-dimensional shape with six square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square form means that all of its sides are square, and as a result, all of its edges will be of equal length. As a result, the cube's length, breadth, and height are all equal.

The formula to compute the volume of cube is a³; where 'a' is the edge of the cube.

Given:

Larger box volume = s³

smaller box volume = 12 ft³

Now, the edge of larger box = 4

So, volume of larger box

= 4 x 4 x 4

= 64 ft³

Hence, the total volume is = 64 +12 = 76 ft³

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Answer:

x=15

Step-by-step explanation:

7x+3x-4=146

10x-4=146

10x=150

X=15

The two sides added up equals the outside length.

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Answer:

58ft

Step-by-step explanation:

100-60=40

40+18=58

the answer is 58ft

(brainliest plz)

Answer:

Log 70

What is Log 70? - The value of Log 70 is 1.84509804001. The log base 10 of 70 is the base 10 logarithm of 70 which can be written as log10(70) or lg(70).

What is log10(70)  - The logarithm base 10 of a number is its logarithm to the base of 10 where lg(70) = 1.84509804001.

Step-by-step explanation:

log10  70

Result 1.84509804001425

check the attached file pls it might be needed for you !!  

Mark brilliant

Answer:

y<x+1

Step-by-step explanation:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1

Answer:

Polly has to pay $0.24 per yard of fabric.

Step-by-step explanation:

You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.

Answer:

x = -2, y = -6

Step-by-step explanation:

(8x - 3y) + (-8x - 5y) = 2 + 46

-8y = 48

y = -6

8x - 3y = 2

8x - 3(6) = 2

8x + 18 = 2

8x = -16

x = -2

Answer:

[tex]\boxed { \sf (-2, -6) }}[/tex]

Step-by-step explanation:

We are asked to find the solution of the system of equations.

[tex]8x-3y=2\\-8x-5y=46[/tex]

When we solve systems of equations, we have to do 2 steps. The first step eliminates one variable so we can solve for the other. The next step helps us find the variable we canceled.

The first equation has the term 8x and the second equation has the term -8x. If these are added, they cancel, so we are left with the variable y. Add the equations together.

[tex](8x-3y=2) \\+ (-8x-5y=46)[/tex]

8x and -8x cancel, then add.

[tex](-3y=2)\\+ (-5y=46)[/tex]

___________

[tex]-8y= 48[/tex]

We are solving for y, so we must isolate the variable. It is being multiplied by -8. The inverse operation of multiplication is division. Divide both sides by -8.

[tex]-8y/-8=48/-8 \\y= 48/-8 \\y=-6[/tex]

Now we know what y is equal to, so we can plug it back into one of the original equations and solve for x.

I chose the first equation.

[tex]8x-3y=2[/tex]

[tex]8x-3(-6)=2[/tex]

[tex]8x+18=2[/tex]

Subtract 18 from both sides to isolate 8x.

[tex]8x+18-18=2-18\\8x=2-18\\8x=-16[/tex]

Divide both sides by 8.

[tex]8x/8=-16/8 \\x=-16/8 \\x= -2[/tex]

Coordinate points are written as (x,y) so our solution is (-2, -6)

Answer:

parallel

Step-by-step explanation:

4-2/-9-0= 2/-9

6-8/4+5= -2/9

Answer:

all numbers to 36 except 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Step-by-step explanation:

Answer:

positive 260

Step-by-step explanation:

add the cash inflows

550+40+65+80 = 735

add the outflows

10+30+60+25+100+250 = 475

then substract the outflows from the inflows

735-475 = 260

So Andy's net cash flow is positive 260

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Andy’s net cash flow is $260.

Given that, during May, Andy had cash inflows of $550, $40, $65, and $80.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Total cash inflow

= 550+40+65+80

= $735

Total cash outflow

= 10+30+60+25+100+250

= $475

So, net cash flow =735-475

= $260

Therefore, Andy’s net cash flow is $260.

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Answer:

18 000

Step-by-step explanation:

One kg is 1000 grams.  18 kg are 18 x 1000 = 18 0000 grams.

Answer:

1/3

Step-by-step explanation:

Answer:

each person ate 1/3 of a sandwich

Step-by-step explanation:

Answer:

-1/28

Step-by-step explanation:

You need to convert 2/7  and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28

Answer:

-1/28

Step-by-step explanation:

You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.

Answer:

1 8/9 - 1 2/3 = 2/

9

≅ 0.2222222

Step-by-step explanation:

How do you solve fractions step by step?

Conversion a mixed number 1 8/

9

to a improper fraction: 1 8/9 = 1 8/

9

= 1 · 9 + 8/

9

= 9 + 8/

9

= 17/

9

To find a new numerator:

a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/

9

= 9/

9

b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17

c) Write a previous answer (new numerator 17) over the denominator 9.

One and eight ninths is seventeen ninths

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Subtract: 17/

9

- 5/

3

= 17/

9

- 5 · 3/

3 · 3

= 17/

9

- 15/

9

= 17 - 15/

9

= 2/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen ninths minus five thirds = two ninths

Answer:

150%

Step-by-step explanation:

I hope this helps

Answer:

m=-2

Step-by-step explanation:

m=y2-y1/x2-x1

m=-2-8/3-(-2)

m=-2-8/3+2

m=-10/5

m=-2

Let's see

[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]

[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]

From both

Answer:

50

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

2/4 = 1/2

1/2 = 0.5

0.5 = 50%

(Could explain slightly more but this should get the point across!)