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kow [346]
3 years ago
12

I NEED ANSWERS FAST. 1.Using the following image, find

Mathematics
2 answers:
Gwar [14]3 years ago
5 0

Answer: FE  is  7 and RS  is  6.

Step-by-step explanation:

13 - 6 = 7  

11-5= 6

marishachu [46]3 years ago
5 0

Answer:

FE = 7

RS = 6

Step-by-step explanation:

for the first line, we know that line GE is 13 units long, and segment GF is 6 units. simply subtract 6 from 13 to get the length of segment FE.

13 - 6 = 7

You can do the same thing for the second problem.

11 - 5 = 6

hope it helps!

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Perform the indicated operation 2 3/8 x 5 3/4
Butoxors [25]
Hello!

Change each mixed number to an improper fraction to make it easier

2 3/8 = 19/8

5 3/4 = 23/4

Now, multiply

19/8  × 23/4 = 437/32 = 13 21/32

Answer ⇒ 13 21/32

4 0
3 years ago
Read 2 more answers
Suppose that the last dollar that Victoria receives as income brings her a marginal utility of 10 utils while the last dollar th
GaryK [48]

Answer: A

Suppose that the last dollar that Victoria receives as income

brings her a marginal utility of 10 utils while the last dollar that

Fredrick receives as income brings him a marginal utility of

15 utils. If our goal is to maximize the combined total utility of

Victoria and Fredrick, we should

a. Redistribute income from Victoria to Frederick

b. Redistribute income from Fredrick to Victoria

c. Not engage in any redistribution because the current situation already maximizes total utility

d. None of the above

Step-by-step explanation:

Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.

The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed.  In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.

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6 0
2 years ago
O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
andriy [413]

Answer

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

Given,

∠BCE=28°  ∠ACD=31°  &  line AB=AC .

According To the Question,

  • a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°

  • b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚

        thus , ∠ABC=76° .

  • c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,

Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°

Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)

∠DAB = 180° - 107° ⇔ 73°

& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°

Now, In Triangle ADC Sum of angles in a triangle is 180°

∠ADC = 180° - (31° + 45°)  ⇔  104˚

   

  • d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre  

For Diagram, Please Find in Attachment  

4 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
yan [13]

Answer:

  138.16 in²

Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

  SA = B + LA

  = πr² + (1/2)(2πrh) . . . . where h is the slant height

  = (πr)(r +h)

Filling in the numbers, you have ...

  SA = (3.14)(4 in)(4 in + 7 in) = 3.14×(44 in²) = 138.16 in²

7 0
3 years ago
The graph models a rock being thrown. What is the interval of decrease?
Snowcat [4.5K]
B I think. Not 100% sure tho
8 0
3 years ago
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