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3 years ago

13

What’s is the product of 1/15 X 1/3 =?

1 answer:

FrozenT [24]3 years ago

4 0

Answer:

<h2> $\frac{1}{45}$ </h2>

Step-by-step explanation:

$\frac{1}{15} \times \frac{1}{3}$

$= \frac{1}{15 \times 3}$

$= \frac{1}{45} (ans)$

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1. The backdrop of the altar in a church is triangular in shape. It has a base of 10.5 meters

FrozenT [24]

Answer:

#1

<u>Area of triangle backdrop:</u>

A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²

<u>Area of the cloth:</u>

A = 4.5*4 = 18 m²

<u>Uncovered area:</u>

44.63 - 18 = 26.63 m²

Choice A

#2

<u>Area of the cut piece:</u>

A = πr² = 3.14*7.6² = 181.37 cm²

<u>Area of the square piece:</u>

A= a² = 34² = 1156 cm²

<u>Remaining piece is:</u>

1156 - 181.37 = 974.63 cm²

Choice B

8 0

2 years ago

Determine if the sequence below is arithmetic or geometric and determine the

crimeas [40]

Answer:

Common difference is 4

Step-by-step explanation:

7 0

3 years ago

Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not

4vir4ik [10]

<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

$\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\$

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back $x=4$ , we will get two fractions with zero denominator which would be undefined.

7 0

3 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

Difference between 136 and -50

konstantin123 [22]

136 - (-50)=

135+50

186

Answer: 186

7 0

2 years ago

Read 2 more answers