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2 years ago

10

A bakery sold a total of 200 cupcakes in a day, and 69% of them were vanilla flavored. How many of the cupcakes sold that day we

re vanilla flavored?

1 answer:

USPshnik [31]2 years ago

6 0

138 of them were vanilla flavored

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Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr

Degger [83]

Answer:

$A=73.8\°$

$B=8.2\°$

$c=76.3\ units$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)$

substitute the given values

$c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)$

$c^{2}=5,823.5738$

$c=76.3\ units$

step 2

Find the measure of angle A

Applying the law of sine

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}$

$sin(A)=(74)sin(98\°)/76.3$

$A=arcsin((74)sin(98\°)/76.3)$

$A=73.8\°$

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

$A+B+C=180\°$

substitute the given values

$73.8\°+B+98\°=180\°$

$171.8\°+B=180\°$

$B=180\°-171.8\°=8.2\°$

5 0

3 years ago

Write the equation in standard form<br><br> y = -10x + 6

Mumz [18]

Step (1) Flip the equation

−10x+6=y

Step (2) Add -6 to both sides

−10x+6+−6=y+−6

−10x=y−6

Step (3) Divide both sides by -10

−10x−10=y−6−10

ANSWER
$x = \frac{ - 1}{10} y + \frac{3}{5}$

5 0

2 years ago

It's believed that as many as 23% of adults over 50 never graduated from high school. We wish to see if this percentage is the

laila [671]

Answer: 756

Step-by-step explanation:

Given : The proportion of adults over 50 never graduated from high school. = 0.23

Margin of error : E=0.03

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

The formula to find the sample size is given by:_

$n=p(1-p)(\dfrac{z_{\alpha/2}\ }{E})^2$

i.e. $n=(0.23)(0.77)(\dfrac{(1.96)}{0.03})^2=755.941511111approx756$

Hence, the required minimum sample size = 756

4 0

3 years ago

15. Ellen records the time it takes for her to commute to work on 100 consecutive mornings and finds that the times are approxim

Anettt [7]

First one A second one C third one d 4th one E

4 0

2 years ago

0.679 what is the value of the number 6 digit

TiliK225 [7]

Answer:

6 tenths or 0.6, I hope this is what you mean.

Step-by-step explanation:

8 0

3 years ago