Find the measurement of ∠PON

Answer:

a:c=1:8

Step-by-step explanation:

a:b=1:3

therefore a=1 and b=3

b:c=5:8

therefore b=5 and c=8

then,

a:c=1:8

Answer:

a : c = 5 : 24

Step-by-step explanation:

[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex]                  [tex][substituting \ b = 3a ][/tex]

                 [tex]\frac{a}{c} = \frac{5}{24}[/tex]

    [tex]=> a : c = 5 : 24[/tex]

Answer:

100-89/100=11/100

=0.11

Answer:

x = 20.31 inches

Step-by-step explanation:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(62^{\circ})=\frac{x}{23}[/tex]

[tex]23sin(62^{\circ})=x[/tex]

[tex]x=20.3079464[/tex]

[tex]x\approx20.31[/tex]

Therefore, the missing side is 20.31 inches long.

Answer:

Step-by-step explanation:

Compare the given y = x - 7 to the general slope-intercept formula

                                 y = mx + b

Here the slope is 1 and the y-intercept, b, is -7.

Answer:

Step-by-step explanation:

Slope - y intercept form : y = mx +c

y = x - 7

m = 1

c = -7

The ladder will reach a height of 20.6 feet

The given parameters are:

Start by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem

[tex]45^2 = 27^2 +d^2[/tex]

Collect like terms

[tex]d^2= 45^2 -27^2[/tex]

[tex]d^2= 1296[/tex]

Take square roots of both sides

[tex]d= 36[/tex]

When the ladder is moved 4 feet farther, the new distance becomes

[tex]d= 36+4[/tex]

[tex]d= 40[/tex]

The new height (h) of the ladder is then calculated using the following Pythagoras theorem

[tex]45^2=40^2 + h^2[/tex]

Collect like terms

[tex]h^2 = 45^2-40^2[/tex]

[tex]h^2 = 425[/tex]

Take the square roots of both sides

[tex]h = 20.6[/tex]

Hence, the ladder will reach a height of 20.6 feet

Read more about Pythagoras theorem at:

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Answer:

4.4

Step-by-step explanation:

that is the procedure above

Answer:

D. hundreds

Step-by-step explanation:

if a football field is 100 yards long then it is 300 feet long and that is in the hundreds

Answer:

B

Step-by-step explanation:

OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good

The true statements on comparing Jasmine’s two drawings are B and C.

The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.

It is given in the question

Jasmine drew triangles on a globe and on a flat map of the world

On comparing both the triangle the conclusions are

The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.

Among the option given this is also true that

The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe

Therefore option B and C are both true statement comparing Jasmine’s two drawings .

To know more about Angle Sum Property

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Answer:

a = 6

Step-by-step explanation:

–6(2 + a) = –48

Divide each side by -6

–6(2 + a) / -6 = –48/-6

2+a = 8

Subtract 2 from each side

2+a-2 = 8-2

a = 6

Step-by-step explanation:

heyYYYYYYYY I HAVE AGREAT APP FOE U. it's called algebrator use that and it'll help ya

Answer:

answer is option B

9² +40² =41²

81+1600=1681

Answer:

B) 9 , 40, 41

............

Answer:

A) 2 inches

Step-by-step explanation:

Answer:

There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.

If d < 0, we get:

or

or

Answer:

If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).

Actually... It's from web

Answer:

A= 43.393 rounded

Step-by-step explanation:

A=2πrh

A= 2 [tex]\pi[/tex] 1.625 (4.25)

A= 13.8125[tex]\pi[/tex]

or

A= 43.393 rounded

Answer:

221cm squre

Step-by-step explanation:

The Answer is C    226.8 ft

I remember doing this not to long ago

Answer:

since the square indicates the angle is a right angle ( 90 ° )

then x = 90 - 32

x = 58 °

[tex]p = \frac{2 -3g}{g + 4} [/tex]

Refer to the attachment for step by step explaination.

Have a nice day!!

Answer:

[tex]p = \frac{2 - 3g}{(g + 4)} [/tex]

Step-by-step explanation:

[tex]g = \frac{2 - 4p}{3 + p} \\ g(3 + p) = 2 - 4p \\ 3g + pg = 2 - 4p \\ pg + 4p = 2 - 3g \\ p(g + 4) = 2 - 3g \\ \frac{p(g + 4)}{(g + 4)} = \frac{2 - 3g}{(g + 4)} \\ p = \frac{2 - 3g}{(g + 4)} [/tex]

Answer:

a = 2

b = 0

c = 3

Step-by-step explanation:

if I understand correctly the problem should look like

2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)

let's calculate the right side

ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c

as there is only one term of x⁴, we know a = 2

as there is only one term without any x, we know c = 3

now we get

2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3

remember, that is equal to

2x⁴ + 2x³ + 5x² + 3x + 3

after subtracting 2x⁴ and 3 from both sides we get

2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x

we subtract 2x³ and 3x from both sides and get

5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx

we subtract 5x² from both sides and get

0 = bx³ + bx² + bx

=> b must be 0 to make this true for all values of x

Answer:

should be 8 !

Step-by-step explanation:

it just is

Using the Pythagorean Theorem, it is found that the length of the ladder needed to reach the window is given by:

a. 17.0 ft.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem, the length of the ladder in feet is the hypotenuse, considering legs [tex]l_1 = 8, l_2 = 15[/tex].

Hence:

[tex]h^2 = 8^2 + 15^2[/tex]

[tex]h = \sqrt{8^2 + 15^2}[/tex]

h = 17.0 ft.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675

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Answer:

y equals to 31

Step-by-step explanation:

6(5) = 30

30+1 = 31

Answer:

156 ft

Step-by-step explanation:

the depth of the river =

250-94 = 156 ft

Answer:

x=7.8

Step-by-step explanation:

take 49 degree as reference angle

using cos rule

cos 49=adjacent/hypotenuse

0.65=x/12

0.65*12=x

7.8=x

Answer:

x=7.8

Step-by-step explanation:

Step-by-step explanation:

take 49 degree as reference angle

using cos rule

cos 49=adjacent/hypotenuse

0.65=x/12

0.65*12=x

7.8=x

Step-by-step explanation:

but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16

Answer:

2

Step-by-step explanation:

f(x)= 2x^5-3x^3+2x^2+1

Let x=1

f(1)= 2(1)^5-3(1)^3+2(1)^2+1

    = 2*1 -3*1+2(1) +1

     = 2-3+2+1

     2

[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]

________

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Answer:

The two numbers are 11/8 and 5/6

Step-by-step explanation:

Let the unknown numbers be x and y

Given that the difference of two numbers is 13/24

x - y = 13/24

and  that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other

11/12 * 1/x = 5/9 * 1/y

11/12x = 5/9y

cross multiply

12x * 5 = 11* 9y

60x = 99y

x = 99y/60

= 33y/20

substitute into x - y = 13/24

33y/20 - y = 13/24

13y/20 = 13/24

24y = 20

y = 20/24

= 5/6

x = 33y/20

= 33 *5/20*6

= 11/8