Look at the information below. The sum of the measures of angle M and angle R is 90°. © The measure of angle M is (5x + 10). The measure of angle R is 55º. Write an equation that can be used to determine the value of x?​

Answer:

if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.

Answer:

Volume of iron used is 58982cm

Step-by-step explanation:

For hollow cylinder,

\bold{Height=9cm}Height=9cm

\bold{Internal \ radius=21cm}Internal radius=21cm

\bold{Externa \ radius=28cm}Externa radius=28cm

volume \: of \: cylinder = \pi \times {r}^{2} \times h \:volumeofcylinder=π×r

2

×h

\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part

\bold{=\frac{22}{7}×28^2×9}=

7

22

×28

2

×9

\bold{=22×4×28×9}=22×4×28×9

\bold{=71456cm^3}=71456cm

3

\bold{Volume \ of \ hollow \ part}Volume of hollow part

\bold{=\frac{22}{7}×21^2×9}=

7

22

×21

2

×9

\bold{=22×3×21×9}=22×3×21×9

\bold{=12474cm^3}=12474cm

3

\bold{Volume \ of \ iron \ used=}Volume of iron used=

\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part

\bold{- Volume \ of \ hollow \ part}−Volume of hollow part

{=71456-12474}=71456−12474

{=58982cm^3}=58982cm

3

\bold\red{Volume \ of \ iron \ used \ is \ 58982cm^3}Volume of iron used is 58982cm

3

Answer:

Distance in ft = 597.57 feet

Step-by-step explanation:

As per the

First equation of motion

84 mph = 37.5514 m/s

45 mph = 20.1168 m/s

v-u = a* t

Substituting the given values, we get -

37.5514 m/s - 20.1168 m/s = a * 6.3

a = 2.76 m/s^2

Now as per Newton's third law of motion

v^2-u^2 = 2 *a*S

Substituting the given values, we get -

37.5514^2 - 20.1168^2 = 2 * 2.76 m/s^2 * S

S = 182.142 Meters

Distance in ft = 597.57 feet

Answer:

10.5

Step-by-step explanation:

Answer:

The volume of the pyramid is 126in^3

Step-by-step explanation:

To find the volume of a pyramid you need to use this formula which is

V=lw·h/3

V=9·6·7/3

V=54·7/3

V=126in^3

Answer:

Growth.

Step-by-step explanation:

y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.

Hope that this helps!

Answer:

19.4 in.

Step-by-step explanation:

i dont know this questions

Answer:

circumference = 2πr

diameter = 3ft, so radius =3/2 =1.5

                       =2π ×1.5=3π= 9.42ft

Answer:

here diameter =3 ft

radius=diameter/2

=3/2

=1.5 ft

now use formula 2 pie r where pie =3.14

=2*3.14*1.5 ft

=9.42 ft

Step-by-step explanation:

Hope this helps u!!

Answer: [tex]||cu||=39[/tex]

Step-by-step explanation:

Given

[tex]u=<5,-12>[/tex] and [tex]c=-3[/tex]

[tex]cu[/tex] is a vector with 3 times the vector u in opposite direction

[tex]|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13[/tex]

[tex]\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39[/tex]

option (a) is correct.

Step-by-step explanation:

Total time taken=(30/24+12/8)

=(1.25+1.5)

=2.75 hrs

=165 minutes

=2 hrs and 45 minutes

formula used: v=d/t

or,d=v×t

or,t=d/v which is the master formula used in the solution of this problem.

If you are satisfied with my answer then please, give brainliest.

Answer: $2

Step-by-step explanation:

Answer:

answer: 36.67

Hope that helps!

Answer:

[tex]36\frac{2}{3}[/tex] %

Step-by-step explanation:

[tex]\frac{33}{90}: \frac{y}{100}[/tex]

y · 90 = 33 · 100

90y = 3300

90y ÷ 90 = 3300 ÷ 90

[tex]y=36\frac{2}{3}%[/tex]

Answer:

Step-by-step explanation:

From the question we are told that:

Null Hypothesis [tex]H_0: 50[/tex]

Alternative Hypothesis [tex]H_a: > 50[/tex]

Sample size [tex]n=50[/tex]

standard deviation[tex]\sigma=6[/tex]

Significance level [tex]\alpha=0.05[/tex]

a)

Sample mean [tex]\=x=52.5[/tex]

Generally the equation for Test statistics is mathematically given by

[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]t=\frac{52.5-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=2.95[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude The value of test statistics is greater than critical value.

Therefore we Reject the Null hypothesis [tex]H_0[/tex]

b)

Sample mean [tex]\=x=51[/tex]

Generally the equation for Test statistics is mathematically given by

[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]t=\frac{51-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=1.18[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude,The value of test statistics is less than critical value.

Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]

c)

Sample mean [tex]\=x=51[/tex]

Generally the equation for Test statistics is mathematically given by

[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]t=\frac{51.8-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=2.12[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude The value of test statistics is greater than critical value.

Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]

Answer:

13.5 inches

Step-by-step explanation:

11.5 x 2.25 x 4

I could be wrong

Answer:

13.5 inches is correct :)

Answer:

44.4 units

Step-by-step explanation:

Recall: 2 tangents drawn from an external point from a circle are congruent

Perimeter of the quadrilateral = AB + BC + CD + AD

AB = 3.1 + 8 = 11.1

BC = 3.1 + 8 = 11.1

CD = 11.1 (given)

AD = 8 + 3.1 = 11.1

Perimeter = 11.1 + 11.1 + 11.1 + 11.1

= 44.4 units

Answer:

[tex] \sqrt{2} [/tex]

Hope it helps

pls give brainliest

Answer:

Because there are 9 sour straws in total and 3 blue sour straws, the probability of pulling out a blue sour straw would be 3/9 or 1/3. Because we aren't replacing it, that means that there's one less straw in the box so there should only be 8 straws left. Because there's 4 pink sour straws, the probability of pulling out a pink sour straw is 4/8 or 1/2.

Answer:

tenths.........

Step-by-step explanation:

.....is the answer

Answer:

(-6,2)

Step-by-step explanation:

when it asks for the scale factor all you do is take your coordinates and multiply it by whatever the question gives you. Like in this question you would multiply -3 and 1 by 2 and whatever the number comes out to be then thats your answers.

Sorry if the explanation isnt very good!

if you meant to put a link there is none

Answer:

347,392

Step-by-step explanation:

yes

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

H²= B²+ P²

[tex](9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9[/tex]

Answer:

∠S = 151

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540

Or 10x - 3 + 5x + 2 + 7x - 11  + 13x - 31 + 8x - 19 = 540

This is the equation we will use to solve for x

Step 1 combine like terms

10x = 5x + 7x + 13x + 8x = 43x

-3 + 2 - 11 - 31 - 19 = -62

We now have 540 = 43x - 62

Step 2 add 62 to each side

-62 + 62 cancels out

540 + 62 = 602

we now have 602 = 43x

Step 3 divide each side by 43

43x / 43 = x

602 / 43 = 14

we're left with x = 14

Finally we plug in 14 for x in the given expression for ∠S

∠S = 13x - 31

* substitute 14 for x *

∠S = 13 ( 14 ) - 31

∠S = 13 * 14 = 182

182 - 21 = 151

Thus, ∠S = 151

The measure of ∠S is equal to 151°.

In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.

As per the given data:

We are given the diagram of a shape and all its internal angles.

As the given shape is having 5 sides, it will be a pentagon.

The sum of all internal angles in a pentagon is equal to 540°.

∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°

⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540

= 43x - 62 = 540

= 43x = 602

x = 14

To find the measure of ∠S.

∠S = 13x - 31

∠S = 13(14) - 31

∠S = 151°

The measure of ∠S is equal to 151°.

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Answer:

B

Step-by-step explanation:

To find the answer you can just input a number for x and then you should come up with a y-value.

The graph mentioned in option B is correct.

We have the the following function -

f(x) = -3 |x|

We have to select the correct graph from the given ones.

For a function f(x) = x, which is real in nature -

f(x) = |x| =  [tex]\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.[/tex]

We will use this modulus property to solve the graph. We can further expand the function y = -3|x| as -

f(x) = -3|x| = [tex]\left \{ {{-3(-x)\;\;\;for\;x < 0} \atop {-3x\;\;\;for\;x > 0}} \right.[/tex]

For every negative value of x -

y = f(x) = 3x = negative value in a multiple of 3.

For every positive value of x -

y = f(x) = - 3x = negative value in a multiple of 3.

Hence, the graph mentioned in option B is correct.

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