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3 years ago

Find the value of x. 43° X x = [?]°

Mathematics

1 answer:

ZanzabumX [31]3 years ago

5 0

The opposite sides are supplementary
43+x=180
X=137

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3. Elena can make 15 pizzas in 3 hours. If the number of pizzas is represented by p and time is represented by t, Write an equat

zhuklara [117]

Answer:

Your answer is 3x = 15

Step-by-step explanation:

3x = 15

Since 3 is being multiplied by x, we divide both sides by 3. 3x/3 cancels out, and you're left with x.

15/3 = 5

x = 5

This is my take using algebraic methods.

6 0

3 years ago

PLEASE HELPP!! WILL GIVE BRAINLIEST + 25 POINTS!!

enyata [817]

Answer:

x = -9/4

Step-by-step explanation:

−2(x + 1/4) + 1 = 5

Subtract 2 from both sides.

−2(x + 1/4) = 4

Divide both sides by -2.

x + 1/4 = -2

Subtract 1/4 from both sides.

x = -2 1/4

x = -9/4

4 0

3 years ago

The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

a) The preset value equation is given by this formula:

$P=\int^{T}_{0}f(t)e^{-rt}dt$

where:

T is the period in years (T = 10 years)
r is the annual interest rate (r=0.08)

So we have:

$P=\int^{T}_{0}(0.01t+100)e^{-rt}dt$

Now we just need to solve this integral.

$P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt$

$P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}$

$P=0.30+688.34=688.64 $$

The present value is 688.64 $

b) The accumulated amount of money flow formula is:

$A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt$

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

$A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P$

$A=e^{0.08\cdot 10}688.64=1532.60 $$

The accumulated amount is 1532.60 $

Have a nice day!

6 0

3 years ago

If Damian needs to borrow money to pay for something, he needs to request which of the following?

Irina-Kira [14]

which of the following???

8 0

3 years ago

Read 2 more answers

Which triangles are congruent by SAS?

boyakko [2]

Answer:

Option A

Triangles ABC and TUV

Step-by-step explanation:

Given three triangles ABC , FGH and TUV

For triangles ABC and FGH, given that

DF =AB

DH = AC

and angle F = angle A

This cannot be taken as SAS congruence because the angle F is not included between the equal sides. Two triangles can be congruent by SAS only if two sides and included angle are congruent.

For triangles ABC and TUV we have AB=TU, AC = TV and

included angles between these sides are equal.

So these two triangles are congruent

We write corresponding sides only in order Hence ABC = TUV

and Not VTU =ABC

So option A is true.

5 0

3 years ago