Y varies directly with x,and y=7 when x=2. What is the value of y when x=5?

Find the measure of the indicated arc

natali 33 [55]

Answer:

m $\widehat{WXY}$ is 224°

Step-by-step explanation:

From the figure, we have;

The angle subtended at the circumference, by the arc mWXY, C = 112°

The angle subtended at the center = m $\widehat{WXY}$

By circle theory, we have;

The angle subtended at the center = 2 × The angle subtended at the circumference

∴ m $\widehat{WXY}$ = 2 × 112° = 224°

m $\widehat{WXY}$ = 224°.

7 0

2 years ago

What is 60,000 10 times as much

Veseljchak [2.6K]

6000 would be your answer

7 0

2 years ago

The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source

Bezzdna [24]

Answer:

The voltage at the middle source is $(2-4\mathbf{i})\ V$

Step-by-step explanation:

Voltage Sources in Series

When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.

The figure shown has three voltage sources of values:

$2 + 6\mathbf{i}$

$a + b\mathbf{i}$

$2 - 5\mathbf{i}$

The sum of these voltages is:

$V_t=4+a+(6+b-5)\mathbf{i}$

Operating:

$V_t=4+a+(1+b)\mathbf{i}$

We know the total voltage is $6-3\mathbf{i}$ , thus:

$4+a+(1+b)\mathbf{i}=6-3\mathbf{i}$

Equating the real parts and the imaginary parts independently:

4+a=6

1+b=-3

Solving each equation:

a = 2

b = -4

The voltage at the middle source is $(2-4\mathbf{i})\ V$

5 0

2 years ago

Complete the following statements to prove that ∠IKL and ∠JLD are supplementary angles. It is given that ∠EIJ ≅ ∠GJI. Also, ∠EIJ

Dima020 [189]

Answer:

1st blank: substitution property of equality

2nd blank: linear pair theorem

3rd blank: substitution property of equality

Step-by-step explanation:

1st blank

∠EIJ ≅ ∠GJI (eq. 1)

∠EIJ ≅ ∠IKL (eq. 2)

∠GJI ≅ ∠JLK (eq. 3)

Substituting eq. 3 into eq. 1:

∠EIJ ≅ ∠JLK

and then, substituting eq. 2:

∠IKL ≅ ∠JLK

which means that m∠IKL = m∠JLK

2nd blank

The Linear Pair Theorem states that two angles that form a linear pair are supplementary

3rd blank

m∠JLK + m∠JLD = 180°

Substituting with the previous result:

m∠IKL + m∠JLD = 180°

6 0

2 years ago

WILL GIVE BRAINLIEST Chang deposited $5000 into an account with a 4.8% annual interest rate, compounded monthly. Assuming that n

Mariulka [41]

Answer:

9.42 years (= 113 months)

Step-by-step explanation:

Use the compound rate interest formula:

$A=P(1+\frac{r}{n})^{nt}$

where:

A = amount
P = principal
r = interest rate (in decimal format)
n = number of times interest is compounded per unit t
t = time

Given:

A = $7850
P = $5000
r = 4.8% = 0.048
n = 12
t = years

$\implies 7850=5000(1+\frac{0.048}{12})^{12t}$

$\implies 7850=5000(1.004)^{12t}$

$\implies \dfrac{7850}{5000}=(1.004)^{12t}$

$\implies 1.57=(1.004)^{12t}$

Take natural logs:

$\implies \ln1.57=\ln(1.004)^{12t}$

$\implies \ln1.57=12t\ln(1.004)$

$\implies t=\dfrac{\ln 1.57}{12 \ln1.004}$

$\implies t=9.42\textsf{ years (nearest hundredth)}$

$\implies t=113 \textsf{ months}$

5 0

1 year ago