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4 years ago

If x varies inversely with v, and x=35 when v=3, find x when v=21

Mathematics

1 answer:

Readme [11.4K]4 years ago

3 0

Answer: 5

Step-by-step explanation:

From the question, we are informed that "x varies inversely with v". This means that

x = k/v

where,

k is a constant

We have to find k when x=35 when v=3

x = k/v

35 = k/3

k = 35 × 3

k = 105

Therefore when v = 21, x will be:

x = k/v

x = 105/21

x = 5

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GEOMETRY PROOFS!

NeX [460]

From the given figure ,

RECA is a quadrilateral

RC divides it into two parts

From the triangles , ∆REC and ∆RAC

RE = RA (Given)

angle CRE = angle CRA (Given)

RC = RC (Common side)

Therefore, ∆REC is Congruent to ∆RAC

∆REC =~ ∆RAC by SAS Property

⇛CE = CA (Congruent parts in a congruent triangles)

Hence , Proved

Additional comment:-

SAS property:-

"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)

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2 years ago

Given that the images represent 4 steps in the construction of a line segment congruent to a given line segment, which is step 3

Evgen [1.6K]

Answer:

Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.

Step-by-step explanation:

Start with a line segment PQ that we will copy. Mark a point R that will be one endpoint of the new line segment. Set the compasses' point on the point P of the line segment to be copied. Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.

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3 years ago

Lexi had 300 apples in her basket to sell if she dropped 122 apples on the ground she can't use them and sell them, and then aft

Andrew [12]

Answer:she has 120 apples left.

Step-by-step explanation:

Total number of apples that Lexi had in her basket to sell is 300.

If she dropped 122 apples on the ground because she can't use them and sell them, then the number of apples that she has left for sale is

300 - 122 = 178

If then after she sells 58 apples, the number of apples that she has remaining would be

178 - 58 = 120 apples

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3 years ago

What is 90.125 written in expanded form?

Lorico [155]

Answer:

90+0.1+0.02+0.005

Step-by-step explanation:

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3 years ago

Anthony wants to buy CD for $400 that earns 2.5% APR and is compound quarterly. The CD matures in 3 years. Hi interest earned wi

lukranit [14]

Answer:

The correct option is: B. $30.00

Step-by-step explanation:

The formula for compound interest is.......

$A=P(1+\frac{r}{n})^n^t$ , where A= Final amount, P= Initial amount, r= rate of interest in decimal form, n= number of compounding in a year and t= time duration in years.

Anthony wants to buy CD for $400 that earns 2.5% APR and is compound quarterly and the CD matures in 3 years.

So here, $P= 400, r=2.5\%=0.025, t= 3$

As the CD is compounded quarterly, so here $n= 4$

Plugging these values into the above formula......

$A= 400(1+\frac{0.025}{4})^(^4^*^3^)\\ \\ A= 400(1+0.00625)^1^2\\ \\ A=400(1.00625)^1^2\\ \\ A= 431.053...$

So, the amount of total interest earned $= (\$431.053...-\$400)=\$31.053... \approx \$30.00(Approximately)$

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3 years ago