Either enter an exact answer in terms of T or use 3.14 for 7 and enter your answer as a decimal.
d=2

9514 1404 393

Answer:

  CX = 15√2 inches

  BC = 15√3 inches

  AC = 15√6 inches

Step-by-step explanation:

In this geometry, all of the triangles are similar:

  ΔABC ~ ΔACX ~ ΔCBX

Corresponding segments are proportional in similar triangles, so we have ...

  AX/CX = CX/BX = (long leg)/(short leg)

Filling in the numbers, we get

  30/CX = CX/15

  CX² = 15×30

  CX = 15√2 . . . . . exact length of the altitude (inches)

__

Similarly, we can form proportions with the legs:

  AB/BC = CB/BX

  BC² = (BX)(AB) = (45)(15)

  BC = 15√3 . . . inches

and

  AC/AB = AX/AC

  AC² = (AX)(AB) = (30)(45)

  AC = 15√6 . . . inches

_____

Additional comment

You may notice that each of the segments we're interested in is the root of a product involving segments of the hypotenuse. This "root of a product" is called the geometric mean. Here, the three geometric mean relations are ...

  altitude = geometric mean of hypotenuse segments

  short side = geometric mean of short segment and whole hypotenuse

  long side = geometric mean of long segment and whole hypotenuse

__

Strictly speaking the geometric mean is the n-th root of the product of n items. Here, there are only 2 items, so it is the square root of their product.

Answer:

1086.3 cm²

Step-by-step explanation:

surface are of sphere = πD²

SA = (3.14)(18.6 cm)^2

SA = 1086.3 cm²

Answer:

p = 19 and q = 71

hope it helps

thanks

Step-by-step explanation:

Given

x = 3g + 2

Making g as a subject then

3g = x - 2

g = ( x - 2 ) / 3

Hope it will help :)❤

Answer:

g=(x-2)/3

Step-by-step explanation:

Answer:

76cm²

Step-by-step explanation:

SA=2lw+2lh+2hw

length=4cm

width=2cm

height=5cm

= 2(4×2+4×5+5×2)

=8+20+10

=2×38

=76cm²

Step-by-step explanation:

Blank #1 STQ

Blank #2 SSS (Side-Side-Side)

Answer:

6:100 or 3:50

Step-by-step explanation:

8ft 4 in = 100 inches

Answer:

x=16

Step-by-step explanation:

Answer:

142.72

Step-by-step explanation:

In the question it states that the number in the hundreds place should be twice the number in the hundredth place.

142.72

1 is in the hundreds place. Now the value in the hundredth place should be twice the value of 1. When it say twice it says 2 times the number. 1 time 2 = 2 which would make the answer true.

Hope this helps, thank you :) !!

Answer:

zeros and AoS

Step-by-step explanation:

zeros, x = (1 , -7)

AoS:x =-1

Answer:

14.3 yds.

Step-by-step explanation:

c=√a^2 +b^2

c=√14^2 +3^2

c=√=196+9

c=14.31782106327

c=14.3 yds.

Answer:

XZ = 14.32 yd

Step-by-step explanation:

Use the Pythagorean theorem

14^2 + 3^2 = XZ^2

196 + 9 = XZ^2

XZ^2 = 205

XZ = 14.32 yd

Answer:

Discount of Original Price = Discounted Price

20% of $30 =  $24

30% of $24 = 16.8

40% of $35 = $21

Explanation:

0.2 x 30 = 6

30 - 6 = 24

0.3 x 24 = 7.2

24 - 7.2 = 16.8

0.4 x 35 = 14

35 - 14 = 21

Answer:

A. 106

B. 25

Step-by-step explanation:

A. 33 times 2 = 66

66 Plus the 40 for the membership

66 + 40 = 106

B. 90 - 40 = 50  (40 from the membership)

50 divided by 2 = 25

Answer:

3x - 5 = 3x + (-5)

Step-by-step explanation:

Step-by-step explanation:

triangle c two sides measure length 6cm

Answer:

gggggggg

Step-by-step explanation:

Answer:

6x-7

Step-by-step explanation:

Answer:

[tex]6x - 7[/tex]

Step-by-step explanation:

1) Simplify 2-1 to 1.

[tex]5 \times 1 + 2(3x - 6)[/tex]

2) Simplify 5 × 1 to 5.

[tex]5 + 2(3x - 6)[/tex]

3) Expand by distributing terms

[tex]5 + 6x - 12[/tex]

4) Collect like terms.

[tex]6x + (5 - 12)[/tex]

5) Simplify.

[tex]6x - 7[/tex]

So, therefor, the answer is 6x - 7.

Answer:

D

Step-by-step explanation:

2x>7

x>7/2

x>3.5

Answer:

D

Step-by-step explanation:

Have a day as amazing as you are :D

Answer:

The data is symmetric.

The IQR is 30.

Step-by-step explanation:

Answer:

The data is symmetric.

The IQR is 30.

Answer:

Substitute the given value for the  

✔ variable

.

Use the  

✔ order of operations

to simplify.

First, complete the  

✔ multiplication

inside the parentheses.

Next, complete the  

✔ addition

inside the parentheses.

Last, complete the subtraction.

The value is  

✔ 1

.

Step-by-step explanation:

Answer:Evaluate (3n + 2) – 10 when n = 3.

First, evaluate within the parentheses. Then evaluate exponents. Next multiply and divide from left to right. Then, add and subtract from left to right.

Evaluate the expression for the given value of the variable and use the drop-down menus to complete the statements.

Substitute the given value for the

✔ variable

.

Use the

✔ order of operations

to simplify.

First, complete the

✔ multiplication

inside the parentheses.

Next, complete the

✔ addition

inside the parentheses.

Last, complete the subtraction.

The value is

✔ 1

.

Step-by-step explanation:

Answer:

$12.50

Step-by-step explanation:

divide

9514 1404 393

Answer:

  -28/45

Step-by-step explanation:

Step 1, the sign

When the fractions have an odd number of minus signs (1, not 0 or 2), the result will be negative. This knowledge lets you ignore the sign while you do the rest of the arithmetic. The appropriate sign is applied to the final numbers.

Step 2, the formula

The ratio (a/b)÷(c/d) is (ad)/(bc). There are several ways you can get there:

⇒ "invert and multiply" or "swap dot"

  [tex]\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\,\cdot\,\dfrac{d}{c}=\dfrac{ad}{bc} \quad\text{division is multiplication by the reciprocal}[/tex]

⇒ "numerators of a common denominator"

  [tex]\dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ad}{bd}\right)}{\left(\dfrac{bc}{bd}\right)}=\dfrac{ad}{bc}[/tex]

⇒ "swapped denominators of a common numerator"

  [tex]\dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ac}{bc}\right)}{\left(\dfrac{ac}{ad}\right)}=\dfrac{ad}{bc}[/tex]

The use of common numerators or common denominators is most often seen when the numerator or denominator of one fraction is a multiple of that in the other fraction. Example: (2/3)÷(1/6) = (4/6)÷(1/6) = 4/1 = 4

Step 3, reduce the result

Any of these fractions is reduced by cancelling common factors from numerator and denominator. Your fractions here don't have any common factors, so there is nothing to cancel.

_____

Your product is ...

  (4/9) ÷ (-5/7) = -(4·7)/(9·5) = -28/45

Answer: 450 minutes

Step-by-step explanation: First you find 7 hours to minutes by multiplying 7 by 60. You will get 420. Then, add 420 and 30 because a half of an hour is 30 minutes. Your final answer will be 420 minutes!

Your welcome!

Good night!

Answer:

9.95 for 30oz

Step-by-step explanation:

30/9.95 = 3.02

12/3.5 = 3.43