All categories

3 years ago

What is the measure of BDC, given that figure ADCB is a rectangle?

Mathematics

1 answer:

Murrr4er [49]3 years ago

7 0

We are asked to solve for the angle of BDC in the figure which is rectangle ACBD.

Since it is a rectangle, each corner has a 90°. Initially, it was given that angle BDA is equal to 50°. Then we can solve for BDC, such as the solution is shown below:

90° = ∠ BDC + ∠ BDA
90° = ∠BDC + 50°
∠BDC = 90° - 50°
∠ BDC = 40°

The answer is 40°.

You might be interested in

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v

pochemuha

Answer:

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = $5000(1 - \frac{1}{40}t )^2$ , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = $2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )$

V'(t) = $2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )$

When we simplify the above, we get

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0

4 years ago

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

Svetradugi [14.3K]

Answer:

(x-3,y+5)

Step-by-step explanation:

5 units up would be written as: $y + 5$ .

3 units to the left would be $x - 3$ .

The rule that describes the translation of 5 units up and 3 units to the left would be:

$(x,y) \rightarrow (x-3,y+5)$

8 0

3 years ago

75 POINTS

Fantom [35]

Hi Timothy,

1. Write a rule for the sequence.

8, -1, -10, -19...

A. Start with 8 and add -9 repeatedly

B. star with -9 and add 8 repeatedly

C. start with 8 and add 9 repeatedly

D. start with 8 and subtract -9 repeatedly---

Answer - So you have to start with -9 then keep subtracting 9. Thats what I think the answer is but the answer is not stated in the question. Let me know on what that is. The closest answer is probably either B or D.

2. find the next three terms of the sequence.

-6, -24, -96, -384

1) -768, -1536 , -3072

2) -768, -3072, -12288

3) -1536, -6144 , -24567

4) -1536, -9216, -36864

The rule is multiplying by 4!

So the correct answer is 3) -1536, -6144 , -24567

5 0

3 years ago

Each graph below represents a function. Drag the correct domain for each function

zaharov [31]

Answer:

1st function: all negative real numbers

2nd function: all real numbers

3rd function: all real numbers except -3 ≤ x ≤ 3

4th function: all real numbers between -3 and 3

Step-by-step explanation:

In the picture attached, the question is shown.

The domain is the set of all the numbers that the independent variable (here, x) can assume.

4 0

3 years ago

Find the slope given the table value.

Kitty [74]

Answer:

Third option. -2

Step-by-step explanation:

the y change is -2

the x change is +1

slope is change in y/ change in x. So it would be -2/1 or -2

7 0

3 years ago