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WINSTONCH [101]
3 years ago
5

ZA and ZB are complementary angles. If m_A = (62 – 8)° and m

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0

Step-by-step explanation:

A=62-8=54

if the angles are complementary that means that their sum is 90degrees, so 54+5x+21=90

5x=90-75=15

=>B=15+21=36

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Dennis_Churaev [7]
1. Is C 2. Is A 3. Might be D 4. Is B 5. Is D
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2 years ago
Given that x = -2 - 3i and y = 4 + 2i , Match The Expressions.
shtirl [24]

Answer:

3y-2x=16+12i

-3x \cdot y=6+48i

x \cdot 2y=-4-32i

x-y=-6-5i

Step-by-step explanation:

Given:

x=-2-3i

y=4+2i

---

1st problem:

3y-2x

3(4+2i)-2(-2-3i)

Distribute:

12+6i+4+6i

Combine like terms:

16+12i

---

2nd problem:

-3x \cdot y

-3(-2-3i) cdot (4+2i)

-3(-2-3i)(4+2i)

Distribute -3 to first factor:

(6+9i)(4+2i)

Use foil to simplify:

24+12i+36i+18i^2

Replace i^2 with -1:

24+48i-18

Combine like terms:

6+48i

---

3rd problem:

x \cdot 2y

(-2-3i) \cdot 2(4+2i)

Distribute 2 to the second factor:

(-2-3i) \cdot (8+4i)

(-2-3i)(8+4i)

Use foil to simplify:

-16-8i-24i-12i^2

Replace i^2 with -1:

-16-32i+12

Combine like terms:

-4-32i

----

4th problem:

(-2-3i)-(4+2i)

Distribute:

-2-3i-4-2i

Combine like terms:

-2-4-3i-2i

Simplify:

-6-5i

6 0
3 years ago
Read 2 more answers
For which scatterplot is the correlation strongest ?
PtichkaEL [24]

the second one? Step-by-step explanation:

7 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
sladkih [1.3K]

Answer:

10.17 seconds

Step-by-step explanation:

substitute y=0 into the equation

0=-16x²+153x+98

then use the quadratic formula

a = -16

b= 153

c = 98

Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):

x₁= 10.17

x₂= -0.60

5 0
2 years ago
For the purpose of purchasing new baseboard and​ carpet, complete parts a and b below.
Phantasy [73]

Answer:

(a)i. Area=72 square feet

ii. Perimeter =34 feet

(b) Baseboard - perimeter

Carpet - area

Step-by-step explanation:

The room is 9ft x 8ft, therefore it is rectangular shaped.

Length=9ft; Breadth=8ft

(a)i. Area of a Rectangle= Length X Breadth

Area of the room=8X9=72 square feet

ii. Perimeter of a Rectangle=2(Length+Breadth)

Perimeter of the room=2(8+9)=2 X 17 =34 feet

(b) A baseboard goes around the edge or boundary of the room, so it has to do with perimeter

A carpet covers the entire floor so it has to do with the area of the room.

3 0
3 years ago
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