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Gnom [1K]
3 years ago
13

8+3n for n=6 help me please

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

26

Step-by-step explanation:

8 + 3n

n = 6

8+3(6)

= 8 + 16

= 26

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Given: ABCD trapezoid<br> BC=1.2m, AD=1.8m<br> AB=1.5m, CD=1.2m<br> AB∩CD=K<br> Find: BK and CK
stepladder [879]

Answer:

The value of BK is 3m and the value of CK is 2.4m.

Step-by-step explanation:

Given information: ABCD trapezoid

, BC=1.2m, AD=1.8m

, AB=1.5m, CD=1.2m

, AB∩CD=K.

Using the given information draw a figure.

Two sides of a trapezoid are parallel.

Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.

AD\parallelBC

\angle KBC=\angle KAD              (Corresponding angles)

\angle KCB=\angle KDA             (Corresponding angles)

By AA rule of similarity

\triangle KBC\sim \triangle KAD

Corresponding sides of similar triangles are proportional.

\frac{KB}{KA}=\frac{KC}{KD}=\frac{BC}{AD}

\frac{x}{x+1.5}=\frac{y}{y+1.2}=\frac{1.2}{1.8}

\frac{x}{x+1.5}=\frac{1.2}{1.8}

\frac{x}{x+1.5}=\frac{2}{3}

3x=2x+3

x=3

The length of BK is 3 m.

\frac{y}{y+1.2}=\frac{1.2}{1.8}

\frac{y}{y+1.2}=\frac{2}{3}

3y=2y+2.4

y=2.4

The length of CK is 2.4 m.

5 0
3 years ago
Read 2 more answers
A cylinder with a diameter of 10 inches (in.) and a cube are shown.
Scorpion4ik [409]

Answer:

C

Step-by-step explanation:

the volume of the cylinder is 3769.91

the volume of the cube is 1000

so the cylinder's volume is clearly larger than the cube's volume.

7 0
3 years ago
Peter invests $1000 at 4% compounded annually for 10 years and Jose invests $900 compounded annually at 5% for 11 years. Who end
Nesterboy [21]

Answer:

Jose ends up with more money with $59 more than Peter.

Step-by-step explanation:

To determine the amount they will have, you have to use the formula to calculate the future value:

FV=PV(1+r)^n

FV= future value

PV= present value

r= rate of interest

n= number of periods of time

-Peter:

FV=1,000*(1+0.04)^10

FV=1,000*1.48

FV=1,480

-Jose:

FV=900*(1+0.05)^11

FV=900*1.71

FV=1,539

Difference: $1,539-$1,480=$59

According to this, the answer is that Jose ends up with more money with $59 more than Peter.

6 0
3 years ago
Which of the following fractions is equal to a repeating decimal
kiruha [24]

Answer: There are no fractions listed, so I can't help you. 1/3 is a repeating though, if that helps anything. Otherwise, you could use a calculator and just find the decimal of the fraction.

4 0
3 years ago
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A regular 10-sided polygon is called a decagon. What is the area of the decagon that has sides that measure 4.5 inches and an ap
scoray [572]

Answer:

94.5 square inches :)

Step-by-step explanation:

3 0
4 years ago
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