In the diagram above of ADB where angle B is a right angle. Determine the length of DC to the nearest whole number.

Answer:

25

Step-by-step explanation:

To answer this question we must simply divide the number of students by the number of buses

Use the algorithm method.

2 5

5 | 1 2 5

1 0  

2 5

2 5

Therefore, 125 divided by 5=25

So there are 25 students on 1 bus

Answer: $7.50

Step-by-step explanation: Divide 157.50 by 21

Answer:

She will be able to pay off her loan completely in approximately 50 months

Step-by-step explanation:

The amount Esme earns as net salary = $2,400

The amount she already has in a savings account = $100

The amount she would be able to add to her savings account every month = $100

The cost of the car Esme plans to purchase on the no interest loan, A = $20,000

The amount she will make as payment on the loan every month, P = $300 per month

Let 'x' represent the number of month Esme will be able to pay off her loan completely, we have

The number of month Esme will have enough money to pay off her loan completely is given by the following equation;

20,000 = 100 + 300 × x + 100 × x = 100 + 400·x

∴ x = (20,000 - 100)/400 = 49.75

Therefore, the number of months she will be able to pay off her loan completely = 49.75 months ≈ 50 months.

Answer:

[tex]area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units[/tex]

The area of the rectangle PQRS is given by the formula D) 6x²+13x-28.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The area of a rectangle is given by the formula:

A = l × w, where l is the length and w is the width.

In this case,

The length is 2x + 7 and the width is 3x - 4.

Therefore, the area of the rectangle is:

[tex]A = (2x + 7)(3x - 4)\\A = 6x^2 - 8x + 21x - 28\\A = 6x^2 + 13x - 28[/tex]

Therefore, the expression that describes the area of rectangle PQRS is D) 6x²+13x-28.

Learn more about algebraic Expression here:

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Answer:

3 (Anna) + 5 (Todd) = 8

8 x 50 = 400

10 x 3 = 300

Dan takes 300 steps.

Answer:

Workup in photo below.

Step-by-step explanation:

Good luck.

Answer:

c=pi*D

d=7

pi times 7= 21.98 is the circumference

c=pi*D

d=8

pi times 8=25.12 is the circumference

Step-by-step explanation:

Answer:

answer: 280

Hope that helps!

Answer:

Hello! answer: 8.5 miles

Step-by-step explanation:

26.2 - 0.7 = 25.5 25.5 ÷ 3 = 8.5 therefore each runner has 8.5 miles each to run HOPE THAT HELPS!

Answer:

C) 8.5 miles

Step-by-step explanation:

26.2-.7=25.5

25.5/3=8.5

Answer:

-1

Step-by-step explanation:

To find the slope given two points use the formula

m = ( y2-y1)/(x2-x1)

   = ( 8-2)/(4-10)

    = 6/-6

   = -1

Answer:

(c-1)(3c-1)

Step-by-step explanation:

3c² - 4c +1

get rid of square and write like this : (3c ... )(3c....   )

you need to din what multiplies to (3 x 1) = 3 but also adds to -4

-3 + -1 = -4

-1 x -1 = 3

put into the brackets

(3c -3 )(3c-1 )

simplify

(c-1)(3c-1)

Answer:

the 2nd option is true

Step-by-step explanation:

slope for W = 1/2

slope for Z = 1/4

y-intercept for W = -1

y-intercept for Z = -2

y-value when w = -4 is 3 for both W and Z

Answer:

68 %

Step-by-step explanation:

Since we have our mean x = 250 and standard deviation σ = 20, we need to find how many standard deviations away the values 230 and 270 are.

Note x - σ = 250 - 20 = 230 and x + σ = 250 + 20 = 270

The values are one standard deviation away.

So, the values between 230 and 270 lie in the range x - σ to x + σ.

Since the batting averages are approximately normally distributed and for a normal distribution, 68 % of the values lie in the range x - σ to x + σ.

So, 68 % of Braves players fall between 230 and 270.

Step-by-step explanation:

The function should look like this:

g(x) = 10^(x - 1) + 2

Answer:

C is the correct option

Answer:

Maybe the same as the angle of F (46)

Step-by-step explanation:

If you see the two shapes are the same. but different size. so therfore the angles are same.  

Answer:

C

Step-by-step explanation:

you you add three dollars and 25 cents plus $1 + 15 cents which is $4.40 and then times 20 will get you $88

Answer:

I'm pretty sure it's 2.2

Step-by-step explanation:

n=2

1. 16=8×n

16/8=n

2=n

4. n×4=8

n=8/4

n= 2

n=8

2. 16=n×2

16/2=n

8=n

3. 4×n= 32

n=32/4

n= 8

hope it helps

Match the shape with the correct formula for finding the volume :-

SHAPES :-

FORMULAE :-

Match the shape with the correct formula for finding the volume.

Answer:

2.3

Step-by-step explanation:

We are to determine the opposite length given an angle of 30 degrees and an adjacent side of 4

we would make use of tan 30

tan 30 = opposite / adjacent

0.5774 = opposite / 4

opposite = 0.5774 x 4 = 2.3

Answer:

-3

Step-by-step explanation:

The y intercept is the constant(b) next to mx in y intercept form.

Answer:

miles/time = miles/time miles/48 min = 4 mi/30 min ---- miles = 48(2/15) miles = 96/15 miles = 6.4 miles.

Step-by-step explanation:

hope it hlp

Answer:

C. For each additional hour of service, the price of the dog walker increases by $10.

Step-by-step explanation:

Hope this helps!

:)

Answer:

C. I wear my raincoat if and only if it's raining

Answer:

probability for numbers greater than seven would be: 5/12

probability for landing on blue would be: 2/8

Step-by-step explanation

first, I counted all of the spaces, then I counted only the blue , or only the numbers over 7.

Answer:

33 metros

Step-by-step explanation:

Esto puede simplemente asimilarse a un problema de trigonometria simple. El Vemos un faro con una altura de 7 m, observando una lancha a 12°. Se pide calcular la distancia de la lancha al faro, pero desde su base.

En este caso, necesitamos determinar ese lado. Observando la figura adjunta, podrás notar que solamente debemos calcular el cateto adyacente del triangulo formado entre el faro y la lancha y sus distancias. Para hacer eso, solo usamos la siguiente función trigonométrica:

tgθ = cat op / cat ady   (1)

De ahí despejamos el cat ady:

cat ady = cat op / tgθ

Reemplazando tenemos:

cat ady = 7 / tg12

cat ady = 32.93 m o solo 33 m.

Espero te sirva

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the boat and the lighthouse is 32.93 meters.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

Como se da que la altura del faro es de 7 m mientras que el ángulo de depresión es de 12°, por tanto, el ángulo entre el barco y la parte superior del faro también es de 12°.

Ahora, la función tangente de la trigonometría se puede escribir como,

[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distancia entre el faro y el barco}}\\\\\\{\text{Distancia entre el faro y el barco}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distancia entre el faro y el barco}} =32.93\rm\ m[/tex]

Por tanto, la distancia entre el barco y el faro es de 32.93 metros.

In English,

The question is AT THE TOP OF A 7 m HIGH LIGHTHOUSE, A BOAT IS SEEN WITH AN ANGLE OF DEPRESSION OF 12 DEGREES. CALCULATE THE DISTANCE BETWEEN THE BOAT AND THE FOOT OF THE LIGHTHOUSE.

As it is given that the height of the lighthouse is 7 m while the angle of depression is 12°, therefore, the angle between the boat and the top of the lighthouse is also 12°.

Now, the tangent function of the Trigonometry can be written as,

[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distance between the light house and the boat}}\\\\\\{\text{Distance between the light house and the boat}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distance between the light house and the boat}} =32.93\rm\ m[/tex]

Hence, the distance between the boat and the lighthouse is 32.93 meters.

Learn more about Tangent (Tanθ):

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Answer:

it's neptune hun

Step-by-step explanation:

Answer:

Neptune

Step-by-step explanation:

Like Jupiter and Saturn, Neptune radiates more hear than it receives. ... The average temperature on Neptune is a brutally cold -373 degrees F. Triton, Neptune's largest satellite, has the coldest temperature measured in our solar system at -391 degrees F.