Find measure of angles B, E, D and C and the length of BC


Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

log ([tex]2^x[/tex]) = log ( [tex]1/32[/tex] )  {take both the sides}

[tex]x[/tex] * ( log ( 2 ) ) = log ( [tex]1/32[/tex] )

[tex]x=\frac{log(1/32)}{log (2)}[/tex]

[tex]x=-5[/tex]

hope this helps....

Answer:

B) $22 for 4 pounds of cashews.

Step-by-step explanation:

[tex]\frac{5.5}{1}= \frac{22}{4}\\4(5.5)=22\\22=22[/tex]

Answer:

[tex]55.23[/tex]

Step-by-step explanation:

In order to solve this problem, one must use the right triangle trigonometric ratios. Right triangle trigonometric ratios are ratios between the sides and angles of a right triangle. These ratios are the following:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Bear in mind that each side is named relative to the angle that one is describing in the triangle. Thus, the name of the side can change based on the angle. Please note that this only applies to the (opposite) and (adjacent) sides. The (hypotenuse) is the same no matter the angle, as the hypotenuse is the side opposite the right angle.

In this triangle, one is asked to find an angle, one is given the length of the side opposite the angle, as well as the hypotenuse. Thus, one should use the ratio of sine (sin), to solve for the unknown angle.

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

Substitute,

[tex]sin(\theta)=\frac{23}{28}[/tex]

Inverse operations,

[tex]\theta=sin^-1(\frac{23}{28})[/tex]

Simplify,

[tex]\theta=55.228056[/tex]

Answer:

466 miles

Step-by-step explanation:

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The standard deviation of the data is 100 if round to the nearest whole number.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

The list represents the approximate number of megabytes of data Grace used each month as shown in the table.

To find the standard deviation first we will find the mean:

The sum of the all data given = 9380

The mean X' = 9380/12    (total number of observation = 12)

Now subtract the mean from each sample value such as (X-X') and square it.

Find the sum of it.

The formula for the standard deviation is given:

[tex]\rm SD =\sqrt{\frac{\sum(X-X')^2}{n} }[/tex]

Put the ∑(X-X')² = 120866.67 and n = 12

[tex]\rm SD =\sqrt{\frac{120866.67}{12} }[/tex]

SD = 100.36 ≈ 100

Thus, the standard deviation of the data is 100 if round to the nearest whole number.

Learn more about the standard deviation here:

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Answer:

n = 16

Step-by-step explanation:

The slope from the origin to each point must be equal

(0,0) and (n, 8)

m = 8/n

(0, 0) and (32, n)

m = n/32

Set the slopes equal

8/n = n/32

cross multiply

256 = n²

Take the square root of both sides

n = 16

Answer:

12n² + 38n + 16

Step-by-step explanation:

(3n + 8)(4n + 2)

12n² + 6n + 32n + 16

12n² + 38n + 16

Answer:

Yes

Step-by-step explanation:

Right triangles have a 90 degree angle, which this triangle does. The side opposite the 90 degree angle is the hypotenuse. The hypotenuse (in this case 53 m) is the longest side.

Answer:

[tex]\frac{5\pi}{3}\:\mathrm{radians}[/tex]

Step-by-step explanation:

Each complete revolution of a circle is equal to [tex]2\pi[/tex] radians. The minute-hand travels one of these revolutions in 60 minutes. Since there are 50 minutes from 12:40 PM to 1:30 PM, the minute hand travels [tex]\frac{50}{60}\cdot 2\pi=\frac{100}{60}\cdot 2\pi=\boxed{5\pi/3\:\mathrm{radians}}[/tex]

Answer:

The cost price = GHc 16.00

Step-by-step explanation:

Selling price = GHC 20.00

Profit Percent = 25%

Cost price = ?

Formula for finding cost price =

[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]

Let's insert the numbers

[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]

So therefore ; the cost price is GHC 16.00

Answer:

dependent events since P(A and B) is not equal to P(A) * P(B)

Step-by-step explanation:

According to the Question,

Thus, The events A, B and A∩B are:

A - Jane will go to a ballgame on Monday;

B - Kate will go to a ballgame on Monday;

A∩B - Kate and Jane both go to the ballgame on Monday.

So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)

Answer:

From the given scenario, we can conclude that events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)

Step-by-step explanation:

Correct answer for plato users

Answer:

Step-by-step explanation:

3x-4y-15=0

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   3x-4y-15  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-4y-15  = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000

y-intercept = 15/-4  = -3.75000

Calculate the X-Intercept :

When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000

x-intercept = 15/3  =  5

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope     =  1.500/2.000 =  0.750

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Hope This Helps!!!

Answer:

A

Step-by-step explanation:

geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2

Answer:

add and the take the parathesis out and there you have ur answer

Step-by-step explanation:

Answer:

8x + 3

Step-by-step explanation:

I'm going to asume the = was a typo and you intended

(2x + 3x) + (3x + 2x + 3)

Combine like terms

8x + 3

Answer:

15%

Step-by-step explanation:

100 % - 85 % = 15 %

Answer:

if the line makes an angle of 90° with the radius of the circle at the point of contact of the tangent and the circle

Answer:

 4 • (5w + 2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (2 • (w + 7)) +  6 • (3w - 1)

STEP

2

:

Equation at the end of step 2

 2 • (w + 7) +  6 • (3w - 1)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  20w + 8  =   4 • (5w + 2)

Answer:

20w + 8

Step-by-step explanation:

2(w+7)+6(3w−1).

step 1 distribute the 2 to the w and the 7

2 * w = 2w

2 * 7 = 14

we now have 2w + 14 + 6( 3w - 1 )

step 2 distribute the 6 to the 3w and -1

6 * 3w = 18w

6 * -1 = -6

we now have 2w + 14 + 18w - 6

step 3 combine like terms

2w + 18w = 20w

14 - 6 = 8

we're left with 20w + 8

Answer:

B

Step-by-step explanation:

The answer is B, I and IV only

Option B is correct about observing the sequences below.

We have given that,

I. -3, 1, 5, 9, . . .

II. 1, 2, 4, 8, . . .

III. 4, -12, 36, -108, . . .

IV. 7, 14, 21, 28, . . .

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

We have to determine the correct answer for the above sequence

Therefore, The answer is B, I, and IV only.

To learn more about the sequence visit:

https://brainly.com/question/6561461

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Answer:

A

Step-by-step explanation:

just A

successive y values are 5 TIMES the previous y value

In all the others the y value is an ADDITION of the same amount to the previous y value

Answer:

number 8 is d 16 good luck

Answer:

y = 5x + 3

Step-by-step explanation:

Y = mx + b

find the rise/run

in this case [tex]\frac{10}{2}[/tex] or 5

find b or the y intercept

in this case 3

Hope this helps!

Answer:

So so so easy its 1 because all of them like music

Answer:

3/4

Step-by-step explanation:

sin^2(240°)

=sin^2(360-120)

=sin^2(-120)

={-sin^2(120)}

=(-[tex]\sqrt({3} /2)^2[/tex]

=3/4

Step-by-step explanation:

i hope so u can see sorry

and it is correct

Answer:

A) y=4+x

Step-by-step explanation:

Since the initial amount was 4 gallons, any additional fuel added will be in addition to that.

Answer:

#    Tally

1:     ||||| (5)

2:    | (1)

3:    |||| (4)

4:    ||| (3)

5:    || (2)

6:    ||| (3)

Answer:Two numbers are opposites if they have the same absolute value but different signs.

Step-by-step explanation:

Two numbers are opposites if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0.

The absolute value is the same as the distance!

I hope this helps =)

Answer:

49 inches

Step-by-step explanation:

To obtain the height, h of the ramp ;; we use trigonometry ;

h = opposite and the value of the hypotenus :

Sin θ = opposite / hypotenus

Sin 22 = h / 132

h = 132 * sin 22

h = 132 * 0.3746065

h = 49.44

Height of ramp = 49 inches