A 25-foot ladder is leaned against a wall. If the base of the ladder is 7 feet from the wall, how high up the wall will the ladder reach?

Answer:

135°+97°+x=180°. 232°+x=180°. x=232-180=102°

:x=102°

Answer:

14.2 units

Step-by-step explanation:

Here x increases by 11 from -5 to +6.  This is the length of the horizontal leg of a right triangle.  Then y decreases by 9 from 7 to -2.  This is the length of the vertical leg.  The hypotenuse of this triangle may be found using the Pythagorean Theorem:

11^2 + 9^2 = (hypotenuse)^2, or

hypotenuse = √(121 + 81) = √202 ≈ 14.2 units

Answer:

≈ 14.2

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 7) and (x₂, y₂ ) = (6, - 2)

d = [tex]\sqrt{(6+5)^2+(-2-7)^2}[/tex]

  = [tex]\sqrt{11^2+(-9)^2}[/tex]

  = [tex]\sqrt{121+81}[/tex]

  = [tex]\sqrt{202}[/tex]

  ≈ 14.2 ( to the nearest tenth )

Answer:

njvntjvnktmg

Step-by-step explanation:

nurfurhf

Answer:.........................................

Step-by-step explanation:

Answer:

x-12

Step-by-step explanation:

(x+12)*(x-12)

x*x=x²

12x-12x=0

12*-12=-144

Answer:

a. C(x(h)) = 600h + 500

b. C(8) = 5,300

c. See below.

Step-by-step explanation:

a. C(x(h)) = C(30h) = 20(30h) + 500 = 600h + 500

b. C(8) = 600(8) + 500 = 5,300

c. 5,300 is the cost of making the number of shovels that can be made in 8 hours.

Answer:

true

Step-by-step explanation:

Answer: $800 because if you have a light that is $2,000 and it loses %10 of its price per month, and June is 4 months away, then it is only $800.

4 x .1 = .4 so $2,000 x .4 = $800

Answer:

$9.00

Step-by-step explanation:

1.75 x 2 = 3.5+5.5= 9

Answer:

m<AOB = 50°

Step-by-step explanation:

<ACB = 25° is an inscribed angle of the circle.

<AOB is a central angle of the circle.

Thus, based on the inscribed angle theorem which states that an inscribed angle is ½ the measure of the central angle, therefore:

m<ACB = ½(m<AOB)

Substitute

25° = ½(m<AOB)

Multiply both sides by 2

2*25 = m<AOB

m<AOB = 50°

Answer:

10.25

Step-by-step explanation:

,

Answer: 41 meters squared

Step-by-step Explanation:

First, just find the area of the rectangle:

7 x 5 = 35

Then first the area of the triangles, 3 x 2/2 x 2 = 6

all together the surface area is 41 meters squared.

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

(9x9+17x9+17x9)

=387

=2x387=774

A=774

Answer:

x = 58°

Step-by-step explanation:

ABCD is a cyclic quadrilateral and opposite angles are supplementary , so

∠ DAB = 180° - 121° = 59°

The angle between a tangent and a chord is equal to the angle in the alternate segment, then

∠ ABD = 63° , thus

x = 180° - (59 + 63)° = 180° - 122° = 58°

Answer:

70

Step-by-step explanation:

Opposite Angles are supplementary in cyclic quadratlerials.

Answer:

[tex]9a^{2}[/tex]+6[tex]ab[/tex]+[tex]b^{2}[/tex]

Step-by-step explanation:

Answer:

([tex]GS[/tex]) || ([tex]EA[/tex])

Step-by-step explanation:

When two lines are parallel, all four angles formed by the intersection of the two lines are right angles, meaning their angle measures are (90°). This means that alternate interior angles are congruent because all alternate interior angles measures equal (90°). Therefore, by the alternate interior angles converse theorem, lines ([tex]GS[/tex]) and ([tex]EA[/tex]) are parallel.

The alternate interior angles converse theorem states if two angles are congruent and they have the relation of being a part of two lines intersected by a third line, then the two non-intersecting lines are parallel.

Answer:

40% of 300=120

Step-by-step explanation:

40% of 300= 40/100 x 300= 40x3= 120 students

Answer:

false

Step-by-step explanation:

I say false because the multiplicative inverse of 0 is undefined and the multiplicative inverse tells us that when you multiply a number by its inverse the product will be1 think the multiplicative inverse of 0 is undefined.

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

Answer:

-35

Step-by-step explanation:

[tex]-5 = \frac{1}{7}a\\-35 = a[/tex]

I got this by multiplying the numerator by 7. This allows the denominator to be the same as the numerator, thus equalling 1.

1 * a = a

Answer: a = -35

Step-by-step explanation:

1. -5 = 1/7(a) || GIVEN

2. -5 * (7) = (7) * 1/7(a) || Isolate "a" on one side of the equation by multiplying 7 to the other side.

3. -35 = a

Answer:

b. y-intercept

Step-by-step explanation:

The slope=the number/s before the x

Step-by-step explanation:

➡(5x-2)(5x+2)=12

➡5x^2-(2)^2=12

➡25x^2-4=12[/tex]

➡25x^2=12+4=16

Step-by-step explanation:

[tex] \rm \mapsto \: (5x - 2)(5x + 2) = 12 \\ \rm \mapsto \: 5x(5x + 2) - 2(5x + 2)=12 \\ \rm \mapsto \: {25x}^{2} + 10x - 10x - 4 =12\\ \rm \mapsto \: {25x}^{2} - 4=12 \\ \rm \mapsto \:25x^2=12+4 \\ \rm \mapsto \: 25x^2=16[/tex]

Answer:

13

Step-by-step explanation:

The computation of the number of people in the chorus are 50 or older is as follows

According to the attached figure

In the age of 50 - 60 , there is 8 people

In the age of 60 - 70 , there is 4 people

In the age of 70 -80, there is 1 people

So, if we do the total that comes

= 8 people + 4 people + 1 people

= 13 people

Hence, the no of people would be 13

The same is relevant

Answer:

[tex]\displaystyle ST ≈ 15,9\\ RT ≈ 30,8 \\ m∠S = 111°[/tex]

Step-by-step explanation:

First off, find [tex]\displaystyle m∠S:[/tex]

[tex]\displaystyle 180° = 58° + 31° + m∠S → 180° = 89° + m∠S \\ 111° = m∠S[/tex]

Now that the third angle has been defined, we can move move forward with solving for a second edge, using the Law of Sines, but before proceeding, here are some things you should know about this triangle:

Now that we have the information, we can proceed with the process:

[tex]\displaystyle \frac{t}{sin∠T} = \frac{s}{sin∠S} = \frac{r}{sin∠R} \\ \\ \frac{28}{sin\:58°} = \frac{s}{sin\:111°} → \frac{28sin\:111°}{sin\:58°} → 30,82402055... = s \\ 30,8 ≈ s[/tex]

_______________________________________________

Now that RT has been defined, we can now proceed to solving the third edge, using the Law of Cosines:

[tex]\displaystyle s^2 + r^2 - 2sr\: cos∠T = t^2 \\ t^2 + r^2 - 2tr\: cos∠S = s^2 \\ t^2 + s^2 - 2ts\: cos∠R = r^2 \\ \\ 28^2 + 30,8^2 - 2[28][30]\: cos\:31° = r^2 → 784 + 948,64 - 1680\: cos\:31° = r^2 → \sqrt{254,1978397...} = \sqrt{r^2} → 15,94358303... = r \\ 15,9 ≈ r[/tex]

Your triangle is now complete!

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

In this case, you would use law of sines due due you being given two angles and one side.

LAW OF ANGLES IN TRIANGLES: 180 - a - b = c

So in this case: 180 - 31 - 58 = m<S = 91

LAW OF SINE: sin A / a = sin B / b = sin C / c

So in this case: sin 31 / ST = sin 58 / 28

28 sin 31 / sin 58 = ST = 17.0

sin 58 / 28 = sin 91 / x

28 sin 91 / sin 58 = RT = 33.0

Answer:

what? im confused

Step-by-step explanation:

Answer:

A protractor is a tool used to measure angles in degree. There are two basic types of protractors. One that measures 180º (half a circle). One that measures 360º (a full circle).

Answer:

55 degrees

Step-by-step explanation:

All the angles of a triangle should add up to 180 degrees.

So, if you add angles 1 and 2 together and subtract them from 180 it will result in the unknown angle.

35+ 90 + x = 180

125 + x = 180

x = 55

Answer:

6

Step-by-step explanation: