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3 years ago

SINE COSINE and TANGENT ratios (Type an integer or simplified fraction)

Mathematics

1 answer:

katen-ka-za [31]3 years ago

6 0

Answer:

Step-by-step explanation:

sec A = $\frac{1}{cos A}$

cos A = $\frac{40}{85}$ = $\frac{8}{17}$ ⇒ <em>sec A = </em> $\frac{17}{8}$ <em> </em>

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1. Identify the vertex and the y-intercept of the graph of the function y=-2(x+ 2)+2.

KATRIN_1 [288]

Answer:

Please let me know if your quadratic is $y=-2(x+2)^2+2$ .

And if so your vertex is (-2,2) and your y-intercept is (0,-6)

Step-by-step explanation:

It says vertex so I'm thinking you meant $y=-2(x+2)^2+2$ . Please correct me if I'm wrong.

The vertex form of a quadratic is $y=a(x-h)^2+k$ . It is called that because it tells you the vertex (h,k).

So if you compare the two forms you should see -h=2 while k=2.

-h=2 implies h=-2.

So the vertex is (h,k)=(-2,2).

To find the y-intercept, set x=0 and find y.

$y=-2(0+2)^2+2$

$y=-2(2)^2+2$

$y=-2(4)+2$

$y=-8+2$

$y=-6$

So the y-intercept is (0,-6).

7 0

3 years ago

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose you randomly survey

mote1985 [20]

Answer:

$P(X\geq 8)=0.0043\\\\$

It's more likely that all of the residents surveyed will have adequate earthquake supplies since it has a probability of 98.02% which is very close to 100%.

Step-by-step explanation:

-This is a binomial probability problem with the function:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}$

-Given p=0.3, n=11, the is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 8)=P(X=8)+P(X=9)+P(X=10)+P(X=11)\\\\={11\choose 8}0.3^8(0.7)^3+{11\choose 9}0.3^9(0.7)^2+{11\choose 10}0.3^{10}(0.7)^1+{11\choose 11}0.3^{11}(0.7)^0\\\\=0.0037+0.0005+0.00005+0.000002\\\\=0.0043$

Hence, the probability that at least 8 have adequate supplies 0.0043

#The probability that non has adequate supplies is calculated as;

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X= 0)={11\choose 0}0.3^{0}(0.7)^{11}\\\\=0.0198$

#The probability that all have adequate supplies is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X= All)=1-{11\choose 0}0.3^{0}(0.7)^{11}\\\\=1-0.0198\\\\=0.9802$

Hence, it's more likely that all of the residents surveyed will have adequate earthquake supplies since $P(All)>P(None)\ \$ and that this probability is 0.9802 or 98.02% a figure close to 1

7 0

3 years ago

If one point on a horizontal line has coordinates (3, 2), which of the points below are also on the line? Select all that apply.

stepan [7]

Answer:

If the line is horizontal, then all that have a 2 in the Y space will apply because the line goes across meaning that it won't change on the vertical axis.

(5,2) and (-2, 2)

6 0

4 years ago

Pentagon A is rotated 180° about its center and then translated to create pentagon B.

liubo4ka [24]

The value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°

<h3>What is the translation of plane figures?</h3>

A plane figure translation is an isometry that translates each position of the figure at a distance and in a direction indicated by the vector.

It is also regarded as a sort of transformation that involves sliding each point in a plane figure at an identical distance in a similar direction.

From the attached image, the value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°.

Learn more about the translation of plane figures here:

brainly.com/question/2467920

4 0

2 years ago

I need help...............................

Vanyuwa [196]

Answer:

Step-by-step explanation:

First box:4/52

Second box:4/52

Third box:4/52, 4/52, maybe u combine it

Fourth box:4/52, 4/51

Fifth box:4/52, 4/52 or combine

Sixth box:4/52,4/51

Seventh box:8/52, 8/52, or combine

( hope this helps )

7 0

3 years ago