Given that DAB and DCB are right angles and BDC = 48°, what is CAD (The figure is not drawn to scale.)

192
324
276
288

Answer:

21m/s

Step-by-step explanation:

The average rate of change is expressed as;

A(t) = f(b) - f(a)/b-a

a = 2, b = 6

f(2) = 2² + 13(2)

f(2) = 4 + 26

f(2) = 30

f(6) = 6² + 13(6)

f(6) = 36 + 78

f(6)= 114

b- a = 6-2

b-a = 4

Substitute;

A(t) = 114 - 30/4

A(t) = 84/4

A(t) = 21

Hence the average rateof change is 21m/s

Answer: [tex]254.94\ ft[/tex]

Step-by-step explanation:

Given

Building A is 490 feet tall and building B is 754 ft tall.

If the angle of depression from building B to the top of building A is [tex]46^{\circ}[/tex]

Difference in the height of the two buildings is [tex]754-490=264\ ft[/tex]

If the difference between them is [tex]x[/tex]

From the figure, we can write

[tex]\Rightarrow \tan 46^{\circ}=\dfrac{264}{x}\\\\\Rightarrow x=\dfrac{264}{\tan 46^{\circ}}\\\\\Rightarrow x=254.94\ ft[/tex]

Therefore, the two buildings are [tex]254.94\ ft[/tex] apart.

Answer:

3 * (½*2*5) = x

Step-by-step explanation:

Cost of carpeting = $3 per square foot

We have a triangular section to cover having the following dimensions:

base = 2 yd

height = 5 yd

First, let's find the area of the section = area of triangle

Area of triangle = ½*base*height

Area of the triangular section of the floor = ½*2*5

If $3 will cover 1 ft², therefore,

x will cover ½*2*5

Thus:

3 * (½*2*5) = x

Answer:

3 miles

Step-by-step explanation:

8 hours ----> 42 miles

1 hour

= 24 / 8

= 3 miles

So, His miles per hour is 3 miles.

Answer:Answer:

3 miles

Step-by-step explanation:

8 hours ----> 42 miles

1 hour

= 24 / 8

= 3 miles

Hope this helps

Answer:

came on hear +254102580056

Answer:

y-int:  -6

x-int: -2/5 and 3

Step-by-step explanation:

you can find the y-intercept by substituting zero in for every 'x' in the equation;

y = 5(0) - 13(0) - 6

y = -6

to find the x-intercept(s), factor the trinomial by trying to find a pair of factors that multiply to 6 and add to -13; the factors that work are:

(5x + 2)(x - 3)

now set each factor equal to zero and solve for 'x':

5x + 2 = 0

5x = -2

x = -2/5

x - 3 = 0

x = 3

Answer:

180

Step-by-step explanation:

100%-> 150

1%->1.5

120%-> 180

Answer: The answer is (-8, 4)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The degree of a polynomial is the highest degree of a monomial contained within the polynomial. The degree of the monomial is the sum of the exponents on the variables. Example, the degree of -4x^6y is 6+1=7.

Example, the degree of 4x^8 is 8.

So the degree of 5x^4 is 4.

The degree of 3x^2 is 2.

The degree of 1 is 0 since there is no variable in this expression.

So the degree of 5 x^4 + 3 x^2 + 1 is 4.

Answer:

The answers are

x=12

y=60

Answer:

Means for both are equal

Range for Lionel is greater than for Aaron

Range for Lionel is 75

Step-by-step explanation:

Answer:

person above is right

Step-by-step explanation:

Answer:

The probability that all 4 units are good is 10.66%.

Step-by-step explanation:

Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:

14 - 6 = 8

8/14 x 8/14 x 8/14 x 8/14 = X

0.5714 x 0.5714 x 0.5714 x 0.5714 = X

0.1066 = X

0.1066 x 100 = 10.66

Therefore, the probability that all 4 units are good is 10.66%.

Answer:

B is perpendicular to 2y=-x+6

Answer:

3.75

Step-by-step explanation:

i got you

Step-by-step explanation:

root under 45 is the value of r

Answer:

1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.

Step-by-step explanation:

Answer:

Citrus fruits.

Red bell peppers.

Broccoli.

Garlic.

Ginger.

Spinach.

Yogurt.

Almonds.

Step-by-step explanation:

Answer:

y = x /2 - 1/2

Step-by-step explanation:

y = h(x)

y = 2x + 1       Interchange x and y

x = 2y + 1       Subtract 1

x - 1 = 2y        Divide by 2

x/2 - 1/2 = y

y = x/2 - 1/2

None of your answers look like mine. If there is a mistake somewhere please leave a note.

Answer:

-8k-3-2k+7

-10k+4

how to simplify?

(look for like terms)

Answer:

Simultaneous equations are ​equations involving two or more unknowns that are to have the same values in each equation.

Answer:

4.5

Step-by-step explanation:

∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.

Since they share the same proportions, the same operations can be performed on each base to find the area.

The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.

3*3 = 9

9/2 = 4.5

So the area is 4.5

Answer:

x = -24

Step-by-step explanation:

y = 1/4x+12 (Substitute 6 for y)

6 = 1/4x+12 (Subtract 12 from both sides)

6-12= -6 so its now -6 = 1/4x and since its a fraction you want to multiply both sides by the reciprocal

4*-6 = 1/4x*4 (1/4*4=1 which is 1x or x)

-24 = x

Answer:

y=1/4x+12

6=1/4x+12

1/4x=6-12

1/4x=-6

0.25x=-6

x=-6÷0.25

x=-24

Step-by-step explanation:

first put the given value into the equation

inverse rule:

+ve changes to -ve(vice versa)

÷changes to ÷(vice versa)

Step-by-step explanation:

with multiplying rules, we get

4 × 9 × 3 = 108 different meals

Answer:

triangular pyramid

Step-by-step explanation:

Answer:

y=3

x=6

Step-by-step explanation:

We can see from the image below that a= 3

which means that the legnht of y is 3

and the lenght of x is 3*2 or 6

Answer:

B) 29%

Step-by-step explanation:

༻✦༺ ༻✧༺༻✦༺

hope it helps...

have a great day!!

Answer:

1.8x10^-4

Step-by-step explanation:

I did it by the calculator

Answer:

Q1 --> 18.5

Step-by-step explanation:

Answer:

C. Multiply 1st equation by 3, then add together

Step-by-step explanation:

X+y=10

3(x+y)=3(10)multiply by 3

3x+3y=30 add to following equation

2x-3y=6

5x=36