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3 years ago

#20 I’m not sure how to solve it. And the answer should be able to grid in like on the SAT

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

i (a + bi) = 1

ai + b(-1) = 1

ai − b = 1

Match the coefficients.

ai = 0

-b = 1

Therefore, a = 0 and b = -1.

So a − b = 0 − (-1) = 1.

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A. 12

kondor19780726 [428]

Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The student is 6 feet tall. What is the height of the tree? Show all work

Answer:

Option D

The height of tree is 20 feet tall

Solution:

From given question,

Shadow of tree = 30 feet

Height of tree = ?

Height of student = 6 feet

Shadow of student = 9 feet

We have to find the height of tree

We can solve the sum by proportion

$\frac{\text{height of tree}}{\text{shadow of tree}} = \frac{\text{height of student}}{\text{shadow of tree}}$

This forms a proportion and we can solve the sum by cross multiplying

$\frac{\text{height of tree}}{30} = \frac{6}{9}\\\\\text{height of tree} = 30 \times \frac{6}{9} = 30 \times \frac{2}{3}\\\\\text{ height of tree } = 10 \times 2 = 20$

Thus height of tree is 20 feet tall

5 0

3 years ago

Find polynomial from zeros Zeros 3i,2-i

SSSSS [86.1K]

Y=x4−4x3+14x2−36x+45

8 0

4 years ago

MARK BRAINLIEST AND 12 POINTS

attashe74 [19]

Answer:

125

Step-by-step explanation:

exterior angle is equal to sum of interior opposite angle. so

( 2x + 6 ) + ( 5x ) = ( 8x - 11 )

7x + 6 = 8x - 11

x = 17

exterior angle = ( 8 * 17 ) - 11 = 125

8 0

3 years ago

Read 2 more answers

Evaluate 3^2 + (5-2) X 4 - 6/3

muminat

Answer:

The result is 19

Step-by-step explanation:

$3^{2} + (5-2)x4 - 6/3$

Step 1: Parenthesizing (5-2)=3

$3^{2} + 3x4 - 6/3$

Step 2: Exponentiation $3^{2}=9$

$9 + 3x4 - 6/3$

Step 3: Multiplication and division 3x4=12 and 6/3=2

$9 + 12 - 2$

Step 4: Addition and subtraction 9+12=21, and 21-2=19

21-2

The operations are ordered from highest to lowest in the order:

1. Parenthesizing,

2. Factorial,

3. Exponentiation,

4. Multiplication and division,

5. Addition and subtraction.

Hope this helps!

6 0

3 years ago

Read 2 more answers

The joint density function for a pair of random variables X and Y is given. f(x, y) = Cx(1 + y) if 0 ≤ x ≤ 4, 0 ≤ y ≤ 4 0 otherw

frozen [14]

Answer:

A) C = 1/96

B) P(x<=1, y<=1) = 1/128 or 0.0078125 to 7 places

C) P(x+y<=1) = 5/2305, or 0.0021701 to 7 places

Step-by-step explanation:

f(x,y) = C x (1+y)

To find C, we need to integrate the volume under region bound by

0 <= x <= 4, and

0 <= y <= 4

This volume equals 1.0.

Find integral,

int( int(f(x,y),x=0,4), y = 0,4) = 96C

therefore C = 1/96

F(x,y) = x (1+y) / 96 ............................(1)

P(x<=1, y<=1)

Repeat the integral, substitute the appropriate limits,

P = int( int(F(x,y),x=0,1), y = 0,1)

= 1/128 or 0.0078125

P(x<=1, y<=1) = 1/128 or 0.0078125 to 7 places

P(x+y<=1)

From the function, we know that this is going to be less than one half of the probability in (B), closer to 1/4 of the previous.

It will be again a double integral, as follows:

P = int( int(F(x,y),x=0,1-y), y = 0,1)

= 5/2304

= 0.0021701 (to 7 decimals)

P(x+y<=1) = 5/2305, or 0.0021701 to 7 places

8 0

4 years ago