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2 years ago

Can someone please help meee

Mathematics

2 answers:

djyliett [7]2 years ago

7 0

Step-by-step explanation:

answer is 160

hope it helps

pshichka [43]2 years ago

6 0

Answer:

160

Step-by-step explanation:

Angle ABE is a 180 as ABE forms a line

so angle ABC + ANGLE CBE = 180

x + 20 = 180

x = 180-20

= 160

I hope im right!!

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Hi what is the answer please to this question

Natali5045456 [20]

Answer:

Step-by-step explanation:

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2 years ago

What are the amplitude, period, and phase shift of the given function? f(t)=-1/2sin(3t-2pi)

Romashka [77]

Answer:

The $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

Step-by-step explanation:

The given function is

$f(t)=-\frac{1}{2}\sin (3t-2\pi)$ .... (1)

The general form of sine function is

$F(t)=A\sin (Bt-C)+D$ ....(2)

where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.

On comparing (1) and (2), we get

$A=-\frac{1}{2}$

$B=3$

$C=2\pi$

$D=0$

So,

$amplitude=|A|=\frac{1}{2}$

$period=3$

$\text{phase shift}=\frac{2\pi}{3}$

Therefore $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

8 0

3 years ago

You plan on financing a new road bike for $2,500. The bike shop offers a 13.5% APR for a 24 month loan. Use this information, an

Mila [183]

This question can be approached using the present value of annuity formula. The present value of annuity is given by $PV=P\left( \frac{1-\left(1+ \frac{r}{t} \right)^{-nt}}{ \frac{r}{t} } \right)$ , where: PV is the present value/amount of the loan, P is the periodic (monthly in this case) payment, r is the APR, t is the number of payments in one year and n is the number of years.

Given that the<span> financing is for a new road bike of $2,500 and that the bike shop offers a 13.5% APR for a 24 month loan.

Thus, PV = $2,500; r = 13.5% = 0.135; t = 12 payments (since payment is made monthly); n = 2 years (i.e. 24 months)

Thus,

</span> $2500=P\left( \frac{1-\left(1+ \frac{0.135}{12} \right)^{-2\times12}}{ \frac{0.135}{12} } \right) \\ \\ =P\left( \frac{1-\left(1+ 0.01125 \right)^{-24}}{ 0.01125 } \right)=P\left( \frac{1-\left(1.01125 \right)^{-24}}{ 0.01125 } \right) \\ \\ =P\left( \frac{1-0.764531}{ 0.01125 } \right)=P\left( \frac{0.235469}{ 0.01125 } \right)=20.9306P \\ \\ \Rightarrow P= \frac{2500}{20.9306} =119.44$
<span>
Therefore, his monthly payment is $119.44</span>

6 0

3 years ago

Please help! In the question you have to find whether the number is either rational or irrational.

Mnenie [13.5K]

Answer:

Square root of 30 is irrational because the answer is a non-terminating decimal.

4/7 is rational because it is a fraction.

21 divided by the square root of 4 is irrational because the result is a non-terminating decimal.

Pi is irrational because it's a non-terminating decimal.

-27 is rational because rational numbers can be positive or negative.

I hope this is correct! :-)

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3 years ago

Find two consecutive integers whose sum is -29

LuckyWell [14K]

Example:

The sum of two consecutive integers is -15. What is the product of the two integers?

x = 1st consecutive integer

x + 1 = 2nd consecutive integer {consecutive integers increase by 1}

x + x + 1 = -15 {the sum of two consecutive integers is -15}

2x + 1 = -15 {combined like terms}

2x = -16 {subtracted 1 from each side}

x = -8 {divided each side by 2}

x + 1 = -7 {substituted -8, in for x, into x + 1}

-8 and -7 are the two consecutive integers

Their product is 56.

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2 years ago