four of the angle of a Pentagon are 70°,90°,100° and 145°. What is the side of a fifth angle?​

Answer:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Step-by-step explanation:

According to the statement, we have the following information about the lengths of the right triangle:

Hypotenuse

[tex]3\cdot x + 14[/tex]

Long leg

[tex]3\cdot x + 13[/tex]

Short leg

[tex]x[/tex]

By the Pythagoric Theorem, we have the following expression:

[tex](3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2}[/tex] (1)

[tex]9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169[/tex]

[tex]9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169[/tex]

[tex]x^{2} -6\cdot x -27 = 0[/tex]

[tex](x-9)\cdot (x+3) = 0[/tex]

As length is a positive variable by nature, then the only possible solution is [tex]x = 9[/tex]. Lastly, the side lengths of the right triangle are:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Answer:

Radius of cylinder = 2 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 75.4 in³

Height of cylinder = 6 inches

Find;

Radius of cylinder

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (3.14)r²(6)

75.4 = (18.84)r²

(Radius of cylinder )² = 75.4 / 18.84

(Radius of cylinder )² = 4.002123

(Radius of cylinder) = 2

Radius of cylinder = 2 inch (Approx.)

B. 4

count the boxes from the point to the y axis, which would be 4

ignore my previous answer, i was confused, sorry.

Answer:

will this work or help ?

Step-by-step explanation:

The given equation governs the height versus time of the object. h(0) = 64, so the ground is considered at h = 0. The question is at what time is h = 0? So, set h = 0 and solve for t.

-16t^2 + 48t + 64 = 0

We can divide both sides of this equation by -16 for simpler numbers. We get

t^2 - 3t - 4 = 0

We can factor this equation:

(t - 4)(t + 1) = 0

So, t = 4 and t = -1 are solutions.

But, time must be positive, so t = -1 makes no sense, so we discard it. This leaves

t = 4 sec.

9514 1404 393

Answer:

  (c)  (0, 6)

Step-by-step explanation:

Conventionally, an "ordered pair" is a pair of items in parentheses, separated by a comma. The items don't have to be numbers. (0, 6) is an ordered pair.

__

Comments on the other answer choices

Curly braces are usually used as delimiters of a set, not an ordered pair.

Three items do not constitute a "pair." Rather, they are a "triple."

Items without any particular indicator of grouping are usually not considered a "pair."

Answer:

c. 203

Step-by-step explanation:

The formula is A + [tex]\frac{1}{2}[/tex] p(s)

A=area of base

p=perimeter of base

s=slant height

So plug in the numbers:  49 + [tex]\frac{1}{2}[/tex] 28(11) and solve.

Answer:

B  160 ft^2

Step-by-step explanation:

Right away you can eliminate A and C as area in square feet suppose to be. A=bh A= 20 x 8=160 ft^2

Answer:

First one 28

Second one 53

Step-by-step explanation:

Using pythagoras theorem

Sqrt(24^2+7^2)=28

sqrt(45^2+28^2)=53

Answer:

x=√154 over 7 , −√154 over 7

Step-by-step explanation:

Answer:

the answer is that x=positive or negative square root of 22 over square root of 7

Step-by-step explanation:

Answer:

69.12

Step-by-step explanation:

12x5.76

Answer

69

Step-by-step explanation:

12×5.75=69

Answer:

yes it does. good job on your A.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

[tex] 35m [/tex]

Step-by-step explanation:

Given :-

And we need to find the length of the rectangle . We can use the formula to find the perimeter of rectangle , as ,

Perimeter of rectangle :-

[tex]\implies Perimeter = 2( l + b)[/tex]

[tex]\implies 120m = 2 ( x + 25m) \\\\\implies x + 25m =\dfrac{120m}{2}\\\\\implies x + 25m = 60m \\\\\implies x = 60m - 25m \\\\\implies x = 35m [/tex]

Hence the length of the rectangle is 35 m .

Answer:

[tex] a^{5} [/tex]

Step-by-step explanation:

Given the mathematical expression;

a⁸/a³

To rewrite the expression in the form [tex] a^{m} [/tex]

We would have to apply the law of indices.

[tex] Law \; of \; division = \frac {a^{x}}{a^{y}} = a^{x - y} [/tex]

[tex] Law \; of \; division = \frac {a^{8}}{a^{3}} = a^{8 - 3} [/tex]

[tex] a^{m} = a^{8 - 3} = a^{5} [/tex]

9514 1404 393

Answer:

  C.  y = 11.27(0.7^x)

Step-by-step explanation:

The table value (x, y) = (0, 11.27) tells you the multiplier of the exponential term will be 11.27. The decreasing values tell you the base of the exponential term is less than 1. Only answer choice C matches these requirements.

Answer:

Small-6

Large-2

Step-by-step explanation:

small-$8

large-$16

$8×6=$48

$80-$48=$32

32÷16=2(large)

Answer:

About 220 of the students scored less than 96

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 156 and a standard deviation of 23.

This means that [tex]\mu = 156, \sigma = 23[/tex]

Proportion that scored less than 96:

p-value of Z when X = 96. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{96 - 156}{23}[/tex]

[tex]Z = -2.61[/tex]

[tex]Z = -2.61[/tex] has a p-value of 0.00453.

About how many of the students scored less than 96?

0.00453 out of 48592.

0.00453*48592 = 220.1.

Rounding to the closest integer:

About 220 of the students scored less than 96

Answer:

220

Step-by-step explanation:

#platolivesmatter

Answer:

y=x+3

Step-by-step explanation:

when you connect all the dots it makes a straight linear line. then you can use the format y=mx+b

y is the y value

m is the slope (change in y divided by change in x or, rise over run)

x is the x value

b is the y intercept (the y value where the line will touch the y axis/vertical line)

to make the equation

y=mx+b

y and x are variables so you dont need to write them

the slope is rise/run just pick two points such as the first point (0,3) and the second point (1,4)

between these points it changes one unit to the right (1) and one unit up vertically meaning 1/1

=1

when the slope is 1 you get

y=1x+b which is just y=x+b

then the y intercept

the first dot is touching the y axis line and it's y value is 3

y=x+3

hope this helps

Answer:

-5

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

-2 - 3 = -5

Check with the third term and the second term

-7 - (-2) = -7 +2 = -5

The common difference is -5

Answer:

x > [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{5(9-x)}{3+1}<11[/tex]

Add 3 and 1 to get 4.

[tex]\frac{5(9-x)}{4}<11[/tex]

Use the distributive property to multiply 5 by 9−x.

[tex]\frac{45-5x}{4}<11[/tex]

Subtract  45/5 from both sides.

[tex]-\frac{5}{4}x<11-\frac{45}{4}[/tex]

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

[tex]-\frac{5}{4} x<-\frac{1}{4}[/tex]

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

[tex]x>-\frac{1}{4} (-\frac{4}{5} )[/tex]

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

[tex]x>\frac{-(-4)}{4 x 5}[/tex]

[tex]x>\frac{1}{5}[/tex]

Answer: [tex]322\ lb[/tex]

Step-by-step explanation:

Given

The magnitude of the force [tex]F=350\ \text{Pounds}[/tex]

The force makes an angle of [tex]67^{\circ}[/tex] with the horizontal

So, the components of the force are

[tex]\Rightarrow F\cos 67^{\circ}, F\sin 67^{\circ}\\\Rightarrow F\cos 67^{\circ}=350\cos 67^{\circ}\\\quad \quad =136.75\ lb\\\text{Similarly, }\\\Rightarrow F\sin 67^{\circ}=350\sin 67^{\circ}\\=322.17\ lb[/tex]

The larger among the two is [tex]F\sin 67^{\circ}[/tex] i.e. [tex]322\ lb[/tex]

Answer:

Option D

Step-by-step explanation:

[tex]60+45+75=180[/tex]

[tex]Triangle ~has ~the~ sum ~of ~angle =180[/tex]

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

hope it helps...

have a great day!!

Answer:

D will be your answer!!

Step-by-step explanation:

hope it helps

Answer:

D. (-2, -11)

Step-by-step explanation:

Since -2 - 9 = -11, it fits into the equation x - 9 = y, with -2 being "x" and -11 being "y".

And out of all the options, D is the only one that works.

Answer:

9

Step-by-step explanation:

you can always use guess-and-check:

124 seems rather high

(6)P(2) = 6!/4! = 6x5 ≠ 72

(9)P(2) = 9!/7! = 9x8 = 72

Answer:

i think the value of n is 12

Step-by-step explanation:

Answer:

The second one

O (1-6) (2-5) (3-4) (4-3) (5-2) (6-1)

Step-by-step explanation:

Favorable outcome is the outcome that we are looking for

The outcome that we are looking for when rolling two = die is a sum of 7

The set (1-6) (2-5) (3-4) (4-3) (5-2) (6-1) all add up to equal 7

( 1 , 6 ) 1 + 6 = 7

( 2 , 5 ) 2 + 5 = 7

( 3 , 4 ) 3 + 4 = 7

etc.

Which means that they are the favorable outcomes for rolling a seven

Answer:

650,000 cm²

Step-by-step explanation:

10x6.5=65 METERS squared.  They want it in CENTIMETERS squared.

65m² = 650,000cm²

Answer:

32.5[tex]m^{2}[/tex]

Step-by-step explanation:

The coloured triangle with the blank triangle area =

(14m x 6.5m)÷2 = 45.5[tex]m^{2}[/tex]

The blank triangle area =

[(14-10m) x 6.5m]÷2 = 13[tex]m^{2}[/tex]

Therefore:

The coloured triangle area =

(45.5 - 13)[tex]m^{2}[/tex]

=32.5[tex]m^{2}[/tex]