Find the surface area of a rectangular prism with base 5 m by 2 m and height 8 m. a. 15 m² b. 80 m² c. 30 m² d. 132 m²
Answers
Answer:
Total area = 2 * base area + side area
Lateral area = base perimeter * height
Total area = 2*(5*2)+2(5+2)*8
2*10 + 2*7*8=
20+112=132m²
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What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?
In Las Vegas, Nevada, stores charge a 4.6\%4.6%4, point, 6, percent state sales tax and a 3.65\%3.65%3, point, 65, percent county sales tax. Yuki is purchasing a handbag priced at \$220$220dollar sign, 220 before tax. How much sales tax does Yuki pay for her handbag purchase?
F(x)= x2+2/10 What is the answer I'm so bad at math
Nick is solving the equation 3x^2=20-7x with the quadratic formula which values could He use for a, b and c
Answers
8.6x10¹⁴ is the value of (4.3x10⁸)x(2.0x10⁶) in scientific notation.
What is Number system?
A number system is defined as a system of writing to express numbers.
The given expression is (4.3x10⁸)x(2.0x10⁶)
We need to express it in scientific notation
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Firstly let us multiply four point three with two point zero
4.3×2
Which given 8.6
Now 8.6x10⁸x10⁶
When the bases are same then the powers will be added
8.6x10¹⁴
Hence, 8.6x10¹⁴ is the value of (4.3x10⁸)x(2.0x10⁶) in scientific notation.
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Answers
Number of items | Probability of being purchased | Average amount spent
--------------------------------------------------------------------------------------------------
2 | 0.35 | $12
3 | 0.17 | $20
4 | 0.33 | $28
5 or more | 0.15 | $36
In a sample space of 100 items being purchased, in a day:
For 2 items: 35 (12) = 420
For 3 items: 17 (20) = 340
For 4 items: 33 (28) = 924
For 5 or more items: 15 (36) = 540
If this sample trend would go on the for the next two weeks, then the transaction with 4 items would most likely bring in the most income during the said transaction period.
Answer:
Based on the data provided, transactions with 4 items are likely to bring in the most income during the next two-week transaction period.
Answers
Answer:
The given sides does not form a triangle
Step-by-step explanation:
The given sides does not form a triangle
We know the triangle property which states that the sum of any two sides of the triangle should be greater than the third side.
Here given th esides of the triangle are 6x,7x,21x
6x+7x=13x < 21x
for any value of x the above equation does not satisfy.
Answers
Number of men = 2/ 3 × 24
=16
Therefore, 16 men are using the gym
=
16 men
8 men :
How i worked it out...
24 divided by 3 = 8 that is 1/3 which is the :1
And you times that by 2 and you get the answer
Answers
2 in to original is: 2×40= 80 cm
or do proportions:
=
=80 cm=x the original dimension.
Same thing to the other side.
1.5×40=60 cm
or proportions again:
60 cm=y
60 cm is the original dimension
80 cm times 60 cm ORIGINAL DIMENSION
Triangle ABC has measures a = 2, b = 2, and m∠A = 30°. What is the measure of angle B?
A. 15°
B. 30°
C. 45°
D. 60°
Answers
The measure of angle B is 30°,
Hence option B is correct.
To solve this problem,
Use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides and their corresponding angles.
Therefore, we have,
sin(A)/a = sin(B)/b
Then, after putting the given measure,
sin(30°)/2 = sin(B)/2
Multiplying both sides by 2, we get,
sin(B) = sin(30°)
As sin is a positive function for angles between 0 and 180 degrees,
Hence,
∠B = 30°
Therefore, the answer is option B.
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as sin A/a= sin B/b
==>(1/2)/2 =sin B/2
==>sin B=1/2
==>B=30° or 150°
But one say triangle ABC is not a plat triangle ==>150° is excluded.
Answer B: 30°