The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.

Answer:

A. 57 7/9

Step-by-step explanation:

First you multiply 13/3 (the length) by 10/3 (the width). You get 130/9. You then multiply 130/9 (the base) by 12/3 which equals 1560/27.

1560/27 can be simplified to 57.7777778, which in turn converts to 57 7/9.

57 7/9 is the final answer.

Answer:

fg(x) = 2x² - 1

gf(x) = 4x²-12x +10

Step-by-step explanation:

Given the functions f(x) = 2x-3 and g(x) = x^2 + 1

a) f(g(x)) = f(x²+1)

f(x²+1) = 2(x²+1) -3

f(x²+1)= 2x²+2 -3

f(x²+1) = 2x² - 1

fg(x) = 2x² - 1

Hence function fg(x) is 2x² - 1

b) gf(x) = g(2x-3)

g(2x-3) = (2x-3)² + 1

g(2x-3) = (2x-3)(2x-3) + 1

g(2x-3) = 4x²-6x-6x+9 + 1

g(2x-3) = 4x²-12x +10

gf(x) = 4x²-12x +10

Answer:

Step-by-step explanation:

∵A= l×b

⇒A= 4ab^2 × 6a^2b

⇒A= 24a^2b+1×b^2

Explanation: When multiplying indices, add the exponents of similar bases (that is, a^2×a = a^2+a^1 =a³) thus a^2b+1.

I hope this helped.

Answer:

I would guess an Acute triangle

Step-by-step explanation

because all 3 sides are under 90 degrees so it cant be a right and its very close in size so its rather acute and if not its Isosceles.

Answer:

acute triangle

Step-by-step explanation:

three angles are under 90°

Given:

The figure of a right triangle.

To find:

The measure of x.

Solution:

According to the altitude on hypotenuse theorem, the length of the altitude is the geometric mean of segments of the hypotenuse.

Let "h" be the height  of the altitude and it divides the hypotenuse if two pieces of lengths "a" and "b", then

[tex]h=\sqrt{ab}[/tex]

In the given figure, 14 is the height  of the altitude and it divides the hypotenuse if two pieces of lengths 24 and x. So, by using the altitude on hypotenuse theorem, we get

[tex]14=\sqrt{24x}[/tex]

Taking square on both sides.

[tex]196=24x[/tex]

[tex]\dfrac{196}{24}=x[/tex]

[tex]\dfrac{49}{6}=x[/tex]

Therefore, the value of x is [tex]\dfrac{49}{6}[/tex] units and its approximate value is 8.167 units.

Answer:

6 hot dog packages and 4 hot dog buns packages.

Step-by-step explanation:

12 x 4 = 48

8 x 6 = 48

Answer:

3 hot dogs and 2 buns

Step-by-step explanation:

Multiply hot dogs until you get a multiple of 12 for this the lowest common multiple is 24

Answer: W= 4

Step-by-step explanation:

The value of w will be 4.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expression is;

3(-4W - 5) = -7(5 + w)

Now, Solve the expression as;

3(-4W - 5) = -7(5 + w)

3 × -4w - 3 × 5 = -7 × 5 + (-7) × w

-12w - 15 = -35 - 7w

Add 12w both side;

-12w - 15 + 12w = -35 - 7w + 12w

- 15 = 5w - 35

Add 35 we get;

- 15 + 35 = 5w - 35 + 35

20 = 5w

5w = 20

Divide 5 both side;

w = 4

Thus, The value of w will be 4.

Learn more about the substitution method visit:

https://brainly.com/question/2273162

#SPJ2

Answer:

C.The answer is line

Step-by-step explanation:

Answer:

If two planes are not parallel or coincident, then their intersection is a line.

Step-by-step explanation:

Answer:

i can't see clear

Answer:

5.49 pounds

Step-by-step explanation:

Given data

Amir bought 3 2/3 pounds of rice= 11/3 pounds= 3.66 pounds

Owen bought 1 1/2 times  or 1.5 times as much as Amir bought

Hence 1.5 time of 3.66

=1.5*3.66

=5.49 pounds in decimal

Answer:

arc PST = 254°

Step-by-step explanation:

arc QPT = 180° because it is a diameter

arc PQ = 74°

arc PT = 180° - 74° = 106°

arc PST = 360° - 106° = 254°

Answer:

86 degrees

Step-by-step explanation:

Interior degrees of a triangle always add up to 180 degrees

What you would do is add the first two (52+31 = 84)

Subtract this number from 180 to get your remaining degrees

86 degrees

Answer:

-10000000/1 or 10^-7/1

Step-by-step explanation:

You can divide anything by 1 to make a fraction.

Have a nice day!

Answer:

150%

Step-by-step explanation:

Purchase Cost= £12 for 10kg

Sales

1 bag= 200g

200g=1 bag

1 g= 1/200 bag

10000g or 10kg= 1/200 * 10000 = 50 Bags

1 Bag = 0.60

50 Bags= 0.60*50= £30

Profit= £30- £12= 18

% Profit= 18/12 *100

=150%

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

2) d = 1.50c + 20.00

hope the answer can help you.

Answer:

x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2

Answer:

A , D

Step-by-step explanation:

hello :

b= √18 because : (√18)² =18

b= - √18 because : (-√18)² =18

Answer:

The correct option is option;

A. Flip

Step-by-step explanation:

When both sides of an inequality is divided by a negative number, it changes the sign of both numbers while their magnitude remain the same;

Therefore, if the right hand side of the inequality is lesser than the left hand side, when the signs of the left and right hand sides of the inequality changes after a division , by a negative number, we have;

The smaller right hand side of the inequality will then have a lesser negative magnitude than the left hand side of the inequality with a higher negative value and the left hand side (with the higher negative value) becomes lesser than the right and therefore, the symbol (sign) of the inequality is flipped

Therefore, when you divide both sides of an inequality by a negative number, you need to flip the inequality symbol.

Answer:

beeep

Step-by-step explanation:

hoonk

buuurp buuuurp

Answer:

[tex]Area = 16[/tex]

Step-by-step explanation:

Given

[tex]A = (2,4)[/tex]

[tex]B = (4,0)[/tex]

[tex]D = (-4,0)[/tex]

Required

The area of the plot

The given coordinates show a triangle; and the area is calculated as:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]

[tex]Area = \frac{1}{2}|2*0 - 4*4 + 4*0 - -4*0 + -4*4 - 2*0|[/tex]

[tex]Area = \frac{1}{2}|-16 + 0 -16|[/tex]

[tex]Area = \frac{1}{2}|-32|[/tex]

[tex]Area = \frac{1}{2}*32[/tex]

[tex]Area = 16[/tex]

Answer:

Z= 4

Step-by-step explanation:

SOLVE FOR Z by cross multiplying

Answer:

r= 1.69

Step-by-step explanation:

Answer:

minutes seperately and hours seperately

6:05 is the time difference

Step-by-step explanation:

Answer:

Mitochondria are tiny organelles inside cells that are involved in releasing energy from food. This process is known as cellular respiration. It is for this reason that mitochondria are often referred to as the powerhouses of the cell.

Step-by-step explanation:

Answer:

Mitochondria are tiny organelles inside cells that are involved in releasing energy from food. This process is known as cellular respiration. It is for this reason that mitochondria are often referred to as the powerhouses of the cellMitochondria are tiny organelles inside cells that are involved in releasing energy from food. This process is known as cellular respiration. It is for this reason that mitochondria are often referred to as the powerhouses of the cell

Step-by-step explanation:

Answer:

40 + 56/p - q

Step-by-step explanation:

This equation is weird. Your answer should be 40 + 56/p - q

The only thing that would change is writing "56 ÷ p" as a fraction.

Now, here's the weird part.

If you try to solve it after rewriting "56 ÷ p" as a fraction, your answer would look like this:

40p + 56 − qp

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

         p

Unless you have a math-based keyboard that would write 40p + 56 − qp over p as a fraction formatted like the equation shown above (instead of having to put a bunch of dashes so it looks like a long fraction line), then I'd stick with just typing 40 + 56/p - q.

Answer:

jvhsucrkchnufecnigtyrnvtdcvhkbubtrddtrthgbnytdfctry

Step-by-step explanation: