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3 years ago

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Mathematics

1 answer:

Arisa [49]3 years ago

6 0

Simplify

7 + 4i + 8 + i

Collect like terms

(7 + 8) + (4i + i)

Simplify

C. 15 + 5i

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Nut C fits on Bolt C. Nut B fits on Bolt B. Nut A fits on Bolt A. Bolt C is larger than Bolt B. Bolt A and Bolt B are exactly th

Alborosie

Answer:

Bolt A will fit Nut A and Nut B

Step-by-step explanation:

We have the following statements:

Nut C fits on Bolt C.

Nut B fits on Bolt B.

Nut A fits on Bolt A.

Bolt C is larger than Bolt B.

Bolt A and Bolt B are exactly the same.

Then we can say that Bolt A will fit Nut A and Nut B...

4 0

4 years ago

Find the measure of angle X. 11° 12° 17° 61°

nika2105 [10]

Answer:

option B : 12 degree

Step-by-step explanation:

The sum of angles in a triangle = 180 degree

Small box represents 90 degree

From the inner triangle

90 + angle y + 29 = 180 degree

90 + y + 29 = 180

119 + y = 180 (subtract 119 on both sides)

y= 61 degree

(y+x) is the top angle for bigger triangle

From the outer triangle , 90 + (y+x) + 17 = 180

We know y = 61

90 + (61+x) + 17 = 180

90 + 61 + x 17 = 180

168 +x = 180(subtract 168 on both sides)

x= 12 degrees

6 0

3 years ago

Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11 1/2 kg in another. They sent 1 1/4 kg to be recycled and t

Ivan

Answer: $18.45\ kg$ or $18\frac{9}{20}\ kg$

Step-by-step explanation:

We can convert from mixed numbers to decimal numbers:

$11\frac{1}{2}\ kg=(11+0.5)\ kg=11.5\ kg\\\\1\frac{1}{4}\ kg=(1+0.25)\ kg=1.25\ kg$

Since they cleaned up 8.2 kilograms of trash in one neighborhood and 11.5 kilograms in another neighborhood, the total trash they cleaned up was:

$Total=8.2\ kg+11.5\ kg\\\\Total=19.7\ kg$

We know that they sent 1.25 kilograms to be recycled. Then, in order to calculate how many kilograms of trash they threw away, we must subtract the total kilograms of trash they cleaned up and the kilograms they sent to be recycled.

Then:

$19.7\ kg-1.25\ kg=18.45\ kg$ or $18\frac{9}{20}\ kg$

8 0

4 years ago

Read 2 more answers

A model for my number has 6 ones blocks, 2 hundreds blocks and 3 tens blocks what number am i?

Hatshy [7]

236

2 hundreds + 3 tens + 6 ones or
200 + 30 + 6
236

5 0

3 years ago

Para ir a visitar a los abuelos Paula y Mario se ponen de acuerdo en que Paula vaya cada 5 días y Mario cada 6 días. Si coincidi

photoshop1234 [79]

Answer:

a) January 24(24 de Enero)

b) Paula will have made 5 visits(Paula habrá hecho 5 visitas). Mario will have made 4 visits(Mario habrá hecho 4 visitas).

Step-by-step explanation:

When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.

In this question:

Paula each 5 days

Mario each 6 days

Multiples of 5: {0, 5, 10, 15, 20,25,30, ...}

Multiples of 6: {0, 6, 12, 18, 24, 30, ...}

a) ¿Cuándo volvieron a coincidir?

lcm(5,6) = 30

30 days from December 24, which is January 24(24 de Enero).

b) ¿Cuántas visitas habrá hecho cada uno?

Paula visits each 5 days.

30 is 6th non-zero multiple of 5. This means that on January 24 will be her 6th visit. So she will have made 5 visits.

30 is the 5th non-zero multiple of 6. This means that on January 24 will be her 5th visit. So he will have made 4 visits.

4 0

4 years ago