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2 years ago

Find all the solutions to the equation 7sin^2x -14sinx+2=-5

1 answer:

7 0

I will get you started.

Let sin x = u

Then 7sin^2x -14sinx+2=-5 become

7u^2 - 14u = - 5

7u^2 - 14u + 5 = 0

Steps:

1. Solve for u.

2. Back- substitute for u.

3. Take the arcsin on both sides to find the angle(s).

You finish.

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g A shopping center includes a grocery store and a drug store. One%E2%80%8B afternoon, a total of 200 people visited the shoppin

QveST [7]

Answer:

a) 179 people shopped at the grocery store or the drug store.

b) 21 people shopped at neither the grocery store nor the drug store

Step-by-step explanation:

I am going to treat these events as Venn sets.

I am going to say that:

Set A: Shopped at the grocery store

Set B: Shoped at the drug store.

121 shopped at the grocery store:

This means that $A = 121$

91 shopped at the drug store:

This means that $B = 91$

33 shopped at both businesses.

This means that $A \cap B = 33$

a) How many people shopped at the grocery store or the drug store?

This is

$A \cup B = A + B - (A \cap B)$

With the values given in the exercise.

$A \cup B = A + B - (A \cap B) = 121 + 91 - 33 = 179$

179 people shopped at the grocery store or the drug store.

b) How many people shopped at neither the grocery store nor the drug store?

179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.

21 people shopped at neither the grocery store nor the drug store

8 0

2 years ago

PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

2 years ago

Find the key features of the equation and graph it. (Can you explain how to find them and not just the answers please)

Vadim26 [7]

Given a function in a table or in algebraic or graphical form, identify key features such as x- and y-intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; and end behavior. Use key features of an algebraic function to graph the function.

7 0

1 year ago

PLEASE HELP!!!! 20 POINTS!!!! What best describes the following equation?

TiliK225 [7]

It’s both a relation and a function

5 0

2 years ago

5) A cab driver uses 36 gallons of gas in driving 529.2 miles. Find the

Sati [7]

Answer:

14.7 miles per gallon

Step-by-step explanation:

All you have to do is divide the number of miles by the number of gallons to find out how many miles are driven per gallon of gas. Hope I helped!

6 0

2 years ago

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