1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Westkost [7]
3 years ago
9

Simplify before multiplying 3/5×10

Mathematics
1 answer:
Bess [88]3 years ago
4 0
The common factor "5" can be cancelled, so the new equation is 3/1 * 2/1, which is just 2*3.
Simplified, this equals 6.
You might be interested in
What is the range of the discrete finite function?
Stolb23 [73]

Answer:

The answer is A. (3,5,8)

4 0
2 years ago
1. The figure shows the regular triangular pyramid SABC. The base of the pyramid has an edge AB = 6 cm and the side wall has an
Musya8 [376]

Given:

• AB = 6 cm

,

• SM = √15 cm

Let's solve for the following:

• 1) the base elevation AM.

Given that we have a regular triangular pyramid, the length of the three bases are equal.

AB = BC = AC

BM = BC/2 = 6/2 = 3 cm

To solve for AM, which is the height of the base, apply Pythagorean Theorem:

\begin{gathered} AM=\sqrt{AB^2-BM^2} \\  \\ AM=\sqrt{6^2-3^2} \\  \\ AM=\sqrt{36-9} \\  \\ AM=\sqrt{27} \\  \\ AM=5.2\text{ cm} \end{gathered}

The base elevation of the pyramid is 5.2 cm.

• (2)., The elevation SO.

To find the elevation of the pyramid, apply Pythagorean Theorem:

SO=\sqrt{SM^2-MO^2}

Where:

SM = √15 cm

MO = AM/2 = 5.2/2 = 2.6 cm

Thus, we have:

\begin{gathered} SO=\sqrt{(\sqrt{15})^2-2.6^2} \\  \\ SO=\sqrt{15-6.76} \\  \\ SO=2.9\text{ cm} \end{gathered}

Length of SO = 2.9 cm

• (3). Area of the base:

To find the area of the triangular base, apply the formula:

A=\frac{1}{2}*BC*AM

Thus, we have:

\begin{gathered} A=\frac{1}{2}*6^*5.2 \\  \\ A=15.6\text{ cm}^2 \end{gathered}

The area of the base is 15.6 square cm.

• (4). Area of the side surface.

Apply the formula:

SA=\frac{1}{2}*p*h

Where:

p is the perimeter

h is the slant height, SM = √15 cm

Thus, we have:

\begin{gathered} A=\frac{1}{2}*(6*3)*\sqrt{15} \\  \\ A=34.86\text{ cm}^2 \end{gathered}

• (5). Total surface area:

To find the total surface area, apply the formula:

TSA=base\text{ area + area of side surface}

Where:

Area of base = 15.6 cm²

Area of side surface = 34.86 cm²

TSA = 15.6 + 34.86 = 50.46 cm²

The total surface area is 50.46 cm²

• (6). Volume:

To find the volume, apply the formula:

V=\frac{1}{3}*area\text{ of base *height}

Where:

Area of base = 15.6 cm²

Height, SO = 2.9 cm

Thus, we have:

\begin{gathered} V=\frac{1}{3}*15.6*2.9 \\  \\ V=15.08\text{ cm}^3 \end{gathered}

The volume is 15.08 cm³.

ANSWER:

• 1.) 5.2 cm

,

• 2.) 2.9 cm

,

• 3.) 15.6 cm²

,

• 4.) 34.86 cm²

,

• (5). 50.46 cm²

,

• 6). 15.08 cm³.

7 0
9 months ago
The diagram shows a square ABCD
Alex17521 [72]
Maybe şt can be happen but ım not sure 26
4 0
2 years ago
Joey has $400 in a bank account that earns 8% in annual interest. Would this equation be Linear or Exponential?
Dennis_Churaev [7]

Exponential

The first year, he would earn 8% interest on the $400 deposited, so he'd have $432. The next year, he would earn 8% interest on the interest earned the previous year in addition to the amount deposited, so he'd have $466.56.

His bank balance would follow the compound interest equation which is exponential.

= 400 × 1.08^t

where t is the number of years since the deposit

3 0
3 years ago
2x exponent of 2 divided by 27 x=18
Paha777 [63]

Answer:

24

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Plz do number 2 5th grade math​
    9·2 answers
  • What's does log mean?
    14·1 answer
  • What is the sum of the first 27 terms of the following sequence?
    9·1 answer
  • 1. Is down below and is the first photo.
    8·1 answer
  • A box of a dozen fruit tarts costs 15.00. what is the cost of the one fruit tart
    13·2 answers
  • A force of 120 N is applied to an object that accelerates at a rate of 2 m/sec2. What is the mass of the object?
    13·1 answer
  • Three students were given the expression shown to simplify.
    7·2 answers
  • Solve x^2 – 3x = 18 by factoring.
    15·1 answer
  • Evaluate<br> (11) + (-11)
    5·1 answer
  • 5 ft, 6 ft, 12 ft<br> Do these side lengths form an enclosed triangle?<br> Choose (YES or NO)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!