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OleMash [197]
3 years ago
13

Given that 9t-5=103, find the value of t

Mathematics
1 answer:
beks73 [17]3 years ago
3 0

You need to keep letters on one side and numbers on the other side. And when you move 5 over you have to change the sign.

9t = 103 + 5
9t = 108
t = 108 ÷ 9
t = 12

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Three cubes of the same metal, whose edges are 6, 8, 10 cm are meltedand formed into a single cube. Find the diagonal of the sin
allochka39001 [22]

Answer: 12√2 cm

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

Cube 1: V = 6³ = 216

Cube 2: V = 8³ = 512

Cube 3: <u>V = 10³ = 1000</u>

New Cube: V = 1728

1728 = s³

12 = s

So, each side of the new cube is 12 cm.

Use Pythagorean Theorem to find the length of the diagonal:

12² + 12² = diagonal²

144 + 144 = diagonal²

288 = diagonal²

√288 = diagonal

12√2 = diagonal


3 0
3 years ago
Class 8 squares and square roots without adding find the sum of a) 1+3+5+7+9+11+13+15+17.
Nata [24]

Answer:

given

n=9

a=1

d=3-1=2

Step-by-step explanation:

now , by formula,

sn = n/2(2a+(n-1)d)

= 9/2(2×1+(9-1)×2)

=9/2×18

=81

8 0
2 years ago
The least common multiple of 9 and 42 through prime factorization?
LUCKY_DIMON [66]

Answer:

3

Step-by-step explanation:

9= 3*3

42=3*7*2

7 0
2 years ago
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi
Whitepunk [10]

Answer:

A=81\pi $ m^2

Step-by-step explanation:

Circumference of the column =18\pi $ meters

Circumference of a circle=2\pi r

Therefore:

2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters

Area of a Circle =\pi r^2

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

=\pi *9^2\\=81\pi $ m^2

5 0
3 years ago
Rita get paid $16 per hour for the first 8 hour she works each day.She earned 1and 1/2 times her hourly pay rate for the first t
djyliett [7]

Answer:

Rita's pay for Monday is $158.

Step-by-step explanation:

Rita's hourly pay for an 8-hour shift she works everyday is, $16.

If she works overtime she gets paid 1.5 times her hourly pay for every extra hour.

That is, if she works (8 + <em>x</em>) hours a day then the pay for the <em>x</em> hour is, 1.5<em>x</em>.

Rita's working hours on Monday is:

  • Started from 8:15 AM to 12:45 PM ⇒ 4 hours 30 minutes.
  • 45 minutes lunch break ⇒ 12:45 PM + 45 minutes = 1:30 PM
  • Worked from 1:30 PM to 6:15 PM ⇒ 4 hours 45 minutes

It is provided that Rita does not get paid for lunch hour.

Rita's pay for Monday is computed as follows:

= (8:15 AM - 12:45 PM) + (1:30 PM - 6:15 PM)

= (4 hours 30 minutes) + (4 hours 30 minutes)

= (4 + 4) hours + (30 + 45) minutes

= (8 × 16) + (75 minutes × 16 × 1.5)

= 128 + (1.25 hours × 24)

= 128 + 30

= 158

Thus, Rita's pay for Monday is $158.

3 0
3 years ago
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