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2 years ago

Help!!! If AB=4 feet & AD=10 feet & m What is DC? What is BD?

Mathematics

2 answers:

LuckyWell [14K]2 years ago

8 0

DC= 4
BD= 10

Hope it’s right
Best luck with your studying

Maslowich2 years ago

3 0

Answer:

DC=4 feet

Step-by-step explanation:

Opposite sides of a rectangle are equal.

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What is 20/10 as a whole number

Papessa [141]

Answer:

Step-by-step explanation:

1. 20/10

2. divide numerator and denominator by 10

2. 2/1 = 2

4 0

3 years ago

Read 2 more answers

1. 267.935:39= 2. 689.354:78= 3. 96.873:56=

USPshnik [31]

Question 1.) 267.935:39=

Answer 1.) 6.870 approximately

Question 2.) 689.354:78

Answer 2.) 8.838 approximately

Question 3.) 96.873:56

Answer 3.) 1.730 approximately

Explanation : Since the numerators are expressed in thousandths, the answers must be expressed in thousandths too.

Hope this helps!

$\textit{\textbf{Spymore}}$

4 0

3 years ago

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

3 years ago

Use the discriminant to determine the number of solutions and types of solutions for the quadratic equation, below. Then answer

Setler79 [48]

Answer:

A. Discriminant = 116

B. Number of solutions for the quadratic equation = 2

C. Type of solutions (circle one):Imaginary

D. Type of solutions (circle one):irrational

Step-by-step explanation:

The given quadratic equation is

${x}^{2} + 8x = 13$

We rewrite in standard form to get;

${x}^{2} + 8x - 13 = 0$

The discriminant is

$D = {b}^{2} - 4ac$

where a=1, b=8, c=-13

We substitute to get:

$D = {8}^{2} - 4 \times 1 \times - 13$

$D = 64 + 52$

$D = 116$

Since the discriminant is great than zero, we have two distinct real roots

6 0

3 years ago

What is the answer 6*6^2

fomenos

The answer is 6^3 luvvvv

8 0

3 years ago

Read 2 more answers