3 years ago

What is the measure of m

Mathematics

1 answer:

Ede4ka [16]3 years ago

5 0

117 degrees

The angles in a trapezoid add up to 360 degrees. 63 x 2 = 126

360 - 126 = 234

234/2 = 117

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A baker decorates 42cupcakes in 30 minutes. She decorates cupcakes at a constant rate.

eimsori [14]

Answer: 1.4 min per min

Step-by-step explanation: sorry if wrong

8 0

3 years ago

The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th

makvit [3.9K]

Answer:

k = 0.2645

Step-by-step explanation:

Given model:

y = 4070 $e^{kt}$

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070 $e^{3k}$

$\frac{9000}{4070}$ = $e^{3k}$

$\frac{900}{407}$ = $e^{3k}$

Taking natural logarithm on both sides, we get:

$ln\frac{900}{407}$ = $ln(e^{3k})$

$ln\frac{900}{407}$ = 3k lne

lne=1

$ln \frac{900}{407}$ = 3k

or k = $\frac{1}{3}$ $ln\frac{900}{(407)}$

k = $\frac{1}{3}$ (0.7936)

k = 0.2645

7 0

3 years ago

Kay was walking along the bridge above the river. She accidentally lost her grip on her camera when she was trying to get it out

nikklg [1K]

Answer:

5 seconds it will hit the water.

Step-by-step explanation:

y=-16t²+400

add -16t² to both sides

-16t²=-400

divide both sides by 16

t²=-25

t=√25

t=5

8 0

3 years ago

Read 2 more answers

An airplane flies 315 km in 1 hour 45 minutes. Calculate the average speed.

valentina_108 [34]

Answer:

3 km per minute

Step-by-step explanation:

speed = distance / time

315km/105 minutes

= 3 km per minute

4 0

3 years ago

Assume the annual day care cost per child is normally distributed with a mean of $9000 and a standard deviation of $1000. What

Tpy6a [65]

Answer:

65.54% (nearest hundredth)

Step-by-step explanation:

Given:

$\sf \mu=9000$

$\sf \sigma=1000$

$\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)$

P(X > 8600) = 1 - P(X ≤ 8600)

= 1 - 0.3445782584

= 0.6554217416

= 65.54%

3 0

2 years ago