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2 years ago

Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.

Mathematics

1 answer:

AURORKA [14]2 years ago

5 0

Answer:

Step-by-step explanation:

Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.

So, we have the values of angles x and y as 90° and 64°.

90 + 64 = 154° ⇒ Add them up.

Now, subtract 154 from 180 to get ∠z.

180 - 154 = <u>26°</u>

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A can holds 753.6 cubic centimeters of juice. The can has a diameter of 8 centimeters. What is the height of the can?

Tresset [83]

height = 15 cm

the volume (V) of a cylindrical can is

V = πr²h ( r is the radius and h the height )

here d = 8 cm ⇒ r = 4 cm

π × 4² × h = 753.6

16πh = 753.6 ( divide both sides by 16π )

h = 753.6 / 16π = 14.99 ≈ 15 cm

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3 years ago

Nolan has a bond with a 6.1% yield, a bid price of $475, and a face value of $500. What is the original coupon rate of this Bond

Vladimir79 [104]

Answer:

5.8%

Step-by-step explanation:

Current yield = 6.1%

Face value of bond = $500

Market price of bond = $475

Let the original coupon rate be CR

$Current\hspace{2}yield = \frac{Coupon\hspace{2}rate* Bond\hspace{2}face\hspace{2}value}{Market\hspace{2}price}*100$

$6.1 = \frac{CR*500}{475}*100$

Multiply both sides by 475

$6.1 *475 = \frac{CR*500}{475}*100*475$

Cancel out the 475's from the top and bottom of the right side

$6.1 *475 = CR*500*100$

$2897.5 = CR*50000$

Flip the sides

$CR*50000 = 2897.5$

Divide both sides by 5000

$\frac{CR*50000}{50000} = \frac{2897.5}{50000}$

Cancel out 50000 from the top and bottom of the left side

$CR = 0.0579$ %

CR = 0.0579 * 100 [convert decimal into a percentage]

CR = 5.79 %

CR = 5.8% [rounded off to the tenth place]

6 0

2 years ago

Read 2 more answers

Ricardo spends 2 2/3 hours practicing soccer on

ladessa [460]

Answer:

10 7/12 hours

Step-by-step explanation:

so we have to multiply 2 2/3 twice since he does that many hours for 2 days. We then have to multiply 1 3/4 three times since he does that many hours for 3 days. Lets first convert 2 2/3 into a mixed fraction. 2 2/3 = 3 times 2 =6 +2=8 over 3. 1 3/4=4 times 1=4+3=7 over 4. 8/3 times 2 equals 16/3 which eqials

5 1/3 hours. 7/4 times 3 equals to 21/4 which equals to 5 1/4. Lets now add

5 1/3 and 5 1/4. 5+5=10 but the fractions are not the same. Therefore, we need to make it to a common denominator. 4 times 3 equals to 12 so 4/12 plus 3/12 equals 7/12. Final answer equals to 10 7/12.

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3 years ago

The length of a rectangle is 1 units more than the width. The area of the rectangle is 56 units. What is the width, in units, of

pishuonlain [190]

Answer:

Step-by-step explanation:

$56=8*7\\8-7=1$ The width is smaller, so it is 7.