i need help 7th grade math

The perimeter of the polygon of sides as 9/2, 17/2, 52/5, 52/5, 64/5, 59/4 is 1227 /20.

The perimeter of the polygon is the measure of the sum of the sides of the given figure.

The sides are given as 9/2, 17/2, 52/5, 52/5, 64/5, 59/4

The perimeter of the polygon = 9/2 + 17/2 + 52/5 + 52/5 + 64/5 + 59/4

                                                  = 26/2 + 168/5 + 59/4

                                                  = 111/4 + 168/5

                                                  = 555 + 672 / 20

                                                  = 1227 /20

Thus, The perimeter of the polygon is 1227 /20.

Learn more about perimeter here;

https://brainly.com/question/6465134

#SPJ1

Answer:

[tex]4.25-\sqrt{3}.[/tex]

Step-by-step explanation:

1) tan45=1; sin60=√3/2; cot30=√3; sec45=√2, then

2) 3-0.75-√3+2=4.25-√3 (it is ≈2.5179492).

Answer:

8%

Step-by-step explanation:

assume simple interest rate = r

interest = 1000 * 4 * r = 320

r = 320/4000 = 0.08 = 8%

Answer:

Step-by-step explanation:

f(x) = x/(x-7)

The domain is C

7/(7-7) = 7/0 = undefined

Answer:

Simplified answer = C = $0.65m + $24.65

Step-by-step explanation:

Add the two initial charges together (from the insurance and the standard charge) and you get $24.65.  Then add the two charges together for each mile which is $0.65 per mile.  Therefore, the total charge on the car is $24.65 + 65 cents every mile driven.

Answer:

32.5 hours

Step-by-step explanation:

Total hours

6.5 x 5

32.5 hours

Answer:

X = 20

Step-by-step explanation:

The two angles are vertical.

62 = (2 + 3x)

60 = 3x

60/3 =

20

You were correct

Answer:

D.

Step-by-step explanation:

When you survey every 3rd person you will use that as a good sample for the survey. Hope this helps!

The value of the given expression in terms of s will be [(s + 0.602)/3].

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

If [tex]\log(16) = s[/tex]

Then the value of the given expression in terms of s is given below.

[tex]\dfrac{2}{3} \times \log(6400) - \dfrac{1}{3} \times \log(1600)[/tex]

We know the property of the logarithm.

[tex]\log 100 = 2[/tex]

Then we have

[tex]\rm \rightarrow \dfrac{2}{3} \times \log(6400) - \dfrac{1}{3} \times \log(1600)\\\\\\\rightarrow \dfrac{2}{3} \times ( \log 16 + \log 4 + \log 100 ) - \dfrac{1}{3} \times (\log 16 + \log 100)\\\\\\\rightarrow \dfrac{2}{3} \times (s + 0.602+2) - \dfrac{1}{3} \times (s + 2)\\\\\\\rightarrow \dfrac{2}{3} \times (s + 2.602 ) - \dfrac{1}{3} \times (s + 2)\\\\\\\rightarrow \dfrac{2 (s + 2.602) - (s - 2)}{3} \\\\\\\rightarrow \dfrac{s + 0.602}{3}[/tex]

More about the logarithm link is given below.

https://brainly.com/question/7302008

#SPJ1

Answer:

B

Step-by-step explanation:

A percentage is a way to describe a part of a whole. The amount of water in the bottle originally is 800 mm.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the water in the bottle at the very initial be x.

Given that after reduction the amount of water in the bottle is 120 millimetres, also, the water is reduced by 85%, therefore, the amount of water that will be in the bottle is 15% of the original.

Water in the bottle = 15% of x

120 mm = 0.15 × x

x = 800 mm

Hence, the amount of water in the bottle originally is 800 mm.

Learn more about Percentages:

https://brainly.com/question/6972121

#SPJ1

If the dimension of the rectangular prism will be 11 by 8 by 4. Then the volume of the rectangular prism will be 352 cubic yards.

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

A rectangular prism and its net are shown below.

Then the volume of the rectangular prism will be

Volume = LWH

where

Width (W) = 8 yd

Length (L) = 11 yd

Height (H) = 4 yd

Then the volume will be

Volume = 11 × 8 × 4

Volume = 352 yd³

Then the volume of the rectangular prism will be 352 cubic yards.

More about the rectangular prism link is given below.

https://brainly.com/question/12649592

#SPJ1

Answer:

864.

Step-by-step explanation:

1) the required volume can be calculated according to the formula (see also the attachment):

V=Area(BKS)*height;

2) if to see the triangle ABC (see the attachment), then m∠C=90°; m∠A=30° and m∠B=60°;

3) the length of AC=BC*cot(m∠A)=2√3*√3=6 [cm];

4) if AC=6 [cm], then BS=36-2*BC=24 [cm];

5) in the equilateral triangle BKS BS=BK=KS=24 [cm], then the Area(BKS)=BS²√3/4=144√3 [cm²];

6) if the height is 2√3 [cm] and Area(BKS)=144√3 [cm²], then

V=144√3*2√3=864 [cm³].

Answer:

Step-by-step explanation:

There are 10 girls in an athletics club.

e ratio of girls to boys is 5:3.

w many boys are there?

we can solve with an equation

10 : x = 5 : 3

x = 10 * 3 : 5

x = 30 : 5

x = 6

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

Answer:

b

Step-by-step explanation:

Answer:- The answer is letter B, c=1.75n

Step-by-step explanation: Hope this helps.

Answer:

Yes.

Step-by-step explanation:

y/x = 2.22.....  for all the 4 points given.

The graph is a straight line with slope 2.22....

140/63 = 2.2222... also so this is included in the realtionship

Answer:

[tex]-\dfrac{b^2}{16a^4}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{(2a)^{-2}b^5}{-4a^2b^3}[/tex]

[tex]\textsf{Apply the exponent rule}\quad (ab)^c=a^c \cdot b^c:[/tex]

[tex]\implies \dfrac{2^{-2}a^{-2}b^5}{-4a^2b^3}[/tex]

Separate the variables:

[tex]\implies \dfrac{2^{-2}}{-4}\cdot \dfrac{a^{-2}}{a^2}\cdot \dfrac{b^5}{b^3}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies \dfrac{2^{-2}}{-4}\cdot a^{-2-2}\cdot b^{5-3}[/tex]

[tex]\implies \dfrac{2^{-2}}{-4}\cdot a^{-4}\cdot b^{2}[/tex]

[tex]\textsf{Apply the exponent rule}\quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{-4(2^2)}\cdot \dfrac{1}{a^4}\cdot b^{2}[/tex]

[tex]\implies -\dfrac{1}{16}\cdot \dfrac{1}{a^4}\cdot b^{2}[/tex]

Simplify:

[tex]\implies -\dfrac{b^2}{16a^4}[/tex]

Answer:

612 centimeters = 612 : 10 = 61,2 decimeters

Answer: 475 Add 5 more.

Step-by-step explanation:

Answer:

it is said to be a regular polygon.

Step-by-step explanation:

A regular polygon is a polygon that has all angles of the same measure and all sides of the same length.

Answer:

4 more hours

Step-by-step explanation:

wednesday+thursday=7

monday+tuesday=3

7-3=4

Step-by-step explanation:

1 and 2 are negative

3 and 5 are none

4 and 6 are positive

3 1/2 = 7/2

7/2 ÷ 1/4

7/2 × 4/1

14/2

7 pieces

hope it helps...!!!

Answer:

vp=1186380cm^3

Step-by-step explanation:

Answer:

Step-by-step explanation: hi it’

The value of a, when the geometric mean of two numbers a and 12 is 8√6 is equal to the number 32.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

For Geometric sequence, the value of  geometric mean can be found out using the following formula,

[tex]x=\sqrt{ab}[/tex]

Here, (a and b) are the two terms of geometric sequence.

The geometric mean of a and 12 is 8√6. Thus,

[tex]x=8\sqrt{6}[/tex]

[tex]b=12[/tex]

Put this value in formula to find the value of a,

[tex]8\sqrt{6}=\sqrt{a\times12}\\[/tex]

Square both side of equation,

[tex](8\sqrt{6})^2=(\sqrt{a\times12})^2\\64\times6=12a\\a=\dfrac{64\times6}{12}\\a=32[/tex]

Thus, the value of a, when the geometric mean of two numbers a and 12 is 8√6 is equal to the number 32.

Learn more about the geometric sequence here;

https://brainly.com/question/1509142

#SPJ1

Answer:

The bigger angle is 57 degrees

The smaller angle is 33 degrees

Step-by-step explanation:

complimentary is that two angles will add up to 90 degrees

Lets say one angle is x, and the other is y.

the smaller angle is x, so it is be x-24degrees

x+(x-24)=90

2x=114

x=57 degrees

y=33degrees