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Viefleur [7K]
3 years ago
7

Find the value of x

Mathematics
1 answer:
allsm [11]3 years ago
3 0

Answer:

136

Step-by-step explanation:

x = 1/2 (arc(XY) + arc(WZ) )

Arc (XY ) = 142

Arc(WZ) = 130

x = 1/2 (142 + 130)

x = 1/2 (272)

x = 136

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aleksley [76]
Do not go to that link
8 0
3 years ago
\Grace is 1.65 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 25.35 meters. She stands 20.9 meters awa
Anika [276]

Grace's height and the tree's height are related by equivalent ratios

The height of the tree is 2.00 meters

Grace's height is given as:

\mathbf{h = 1.65}

When she measured the length of the tree's shadow, we have:

\mathbf{l = 20.9m} --- the length of her shadow

\mathbf{L = 25.35m} --- the length of the tree's shadow

The height (H) of the tree is calculated using the following equivalent ratio

\mathbf{h:H = l:L}

Substitute known values

\mathbf{1.65:H = 20.9:25.35}

Express as fractions

\mathbf{\frac H{1.65} =\frac{25.35}{20.9}}

Multiply both sides by 1.65

\mathbf{H=\frac{25.35}{20.9} \times 1.65}

Simplify

\mathbf{H=2.00}

Hence, the approximated height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/13513438

5 0
3 years ago
Water is steadily dripping from a faucet into a bowl. You want to write an equation that represents the number of milliliters y
pav-90 [236]

9514 1404 393

Answer:

  • k = 16
  • y = 16x

Step-by-step explanation:

y is proportional to x when it satisfies the equation ...

  y = kx

where k is the constant of proportionality. The equation can be solved for k by dividing by x:

  k = y/x

The value of k for the given relation is ...

  k = (320 mL)/(20 s)

  k = 16 mL/s . . . the constant of proportionality

Then the equation is ...

  y = 16x

7 0
3 years ago
Assume log bx = 0.49. Evaluate.<br> Logbx^2
Snowcat [4.5K]

Step-by-step explanation:

Use exponent property of logs.

logb(x²) = 2 logb(x) = 2(0.49) = 0.98

8 0
3 years ago
A new bank customer with ​$4 comma 500 wants to open a money market account. The bank is offering a simple interest rate of 1.5​
Jet001 [13]

a) Simple interest earned by customer in 10 years is $ 675

b) Account balance after 10 ​years is $ 5175

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

Simple\ Interest = \frac{p \times n \times r}{100}

Where,

"p" is the principal

"r" is the rate of interest

"n" is the number of years

<em><u>a. How much interest will the customer earn in 10 ​years?</u></em>

From given,

Principal = p = $ 4500

Simple interest rate = r =1.5 %

n = 10

Substituting the values in formula,

Simple\ Interest = \frac{4500 \times 10 \times 1.5}{100}\\\\Simple\ Interest = 450 \times 1.5\\\\Simple\ Interest = 675

Thus simple interest earned by customer in 10 years is $ 675

<em><u>b. What will the account balance be after 10 ​years ?</u></em>

Account balance = principal + simple interest

Account balance = 4500 + 675 = 5175

Thus account balance after 10 ​years is $ 5175

8 0
3 years ago
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