∠A and ∠B are complementary angles of right triangle ABC, cos A = 0.83, and cos B = 0.55. What is sin A + sin B? A) 0.28 B) 1 C) 0.38 D) 1.38

QUESTION POSTED AT 18/01/2020 - 06:07 AM

Answered by admin AT 18/01/2020 - 06:07 AM

Answer:

1.38

Step-by-step explanation:

Post your answer

Related questions

A recipe asks for cup of milk. How much milk is needed to make of the recipe? A. cup B. cup C. cup D. 1 cup

C, it's always c, when in doubt, pick c

ANSWERED AT 19/02/2020 - 04:28 PM


QUESTION POSTED AT 19/02/2020 - 04:28 PM

What kind of growth model (pattern) is shown in the table? x y 1 5 2 25 3 125 4 625 5 3,125 a. square root b. linear c. exponential d. quadratic

Answer:

Option C is correct.

The kind of growth model is shown in the table is exponential

Step-by-step explanation:

Exponential growth function is in the form of :  y = ab^x  ......[1];   where a is the initial value and b> 0.

Consider any two point from the table:

(1 , 5) and ( 2 , 25)

Substitute these in the equation [1] we get;

5 = ab^1         ......[2]

25 = ab^2      ......[3]

Divide equation [3] by [2] we have;

\frac{25}{5} = \frac{ab^2}{ab}

Simplify:

5 = b

Now substitute this value in equation [2] we get;

5 = a \times 5

Divide both sides by 5 we get;

\frac{5}{5} = \frac{5a}{5}

Simplify:

1=a or a = 1

Therefore, the table shown the  exponential growth function is, y = 5^x

ANSWERED AT 19/02/2020 - 03:44 PM


QUESTION POSTED AT 19/02/2020 - 03:44 PM

State the property that is demonstrated: 3 · (8 · 4) = (3 · 8) · 4. A. Commutative B. Associative C. Distributive D. Additive

I believe it's the associative

ANSWERED AT 19/02/2020 - 03:19 PM


QUESTION POSTED AT 19/02/2020 - 03:19 PM

Which of the following best describes the solution to the system of equations below? 7x + 4y = 8 7x + 4y = 13 A. The system of equations has exactly one solution where x=8 and y=13 . B. The system of equations has infinitely many solutions. C. The system of equations has no solution. D. The system of equations has exactly one solution where x=0 and y=2 .

The answer is D !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!                                                                               

ANSWERED AT 19/02/2020 - 01:34 PM


QUESTION POSTED AT 19/02/2020 - 01:34 PM

A line has a slope of - 4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Check all that apply. a. (-2,0) and (2,5) b. (-4,5) and (4,-5) c. (-3,4) and (2,0) d. (1,-1) and (6,-5) e. (2,-1) and (10,9)

we know that

if two lines are perpendicular

then the product of their slopes is equal to minus one

so

m1*m2=-1

in this problem we have

m1=-\frac{4}{5}

the value of m2 must be equal to

m2=-\frac{1}{m1} =-\frac{1}{(-4/5)}=\frac{5}{4}

we know that

The formula to calculate the slope between two points is equal to

m=\frac{(y2-y1)}{(x2-x1)}

Find the slopes of each of ordered pairs and compare with m2

case a) (-2,0)\ and\ (2,5)

Substitute in the formula

m=\frac{(5-0)}{(2+2)}

m=\frac{(5)}{(4)}

The slope is equal to m2

so

The ordered pair case a)  could be points on a line that is perpendicular to the given  line

case b) (-4,5)\ and\ (4,-5)

Substitute in the formula

m=\frac{(-5-5)}{(4+4)}

m=\frac{(-10)}{(8)}

m=-\frac{5}{4}

The slope is not equal to m2

so

The ordered pair case b)  could not be points on a line that is perpendicular to the given  line

case c) (-3,4)\ and\ (2,0)

Substitute in the formula

m=\frac{(0-4)}{(2+3)}

m=\frac{(-4)}{(5)}

The slope is not equal to m2

so

The ordered pair case c)  could not be points on a line that is perpendicular to the given  line

case d) (1,-1)\ and\ (6,-5)

Substitute in the formula

m=\frac{(-5+1)}{(6-1)}

m=\frac{(-4)}{(5)}

The slope is not equal to m2

so

The ordered pair case d)  could not be points on a line that is perpendicular to the given  line

case e) (2,-1)\ and\ (10,9)

Substitute in the formula

m=\frac{(9+1)}{(10-2)}

m=\frac{(10)}{(8)}

m=\frac{5}{4}

The slope is equal to m2

so

The ordered pair case e)  could be points on a line that is perpendicular to the given  line

therefore

the answer is

(-2,0)\ and\ (2,5)\\(2,-1)\ and\ (10,9)

ANSWERED AT 19/02/2020 - 01:33 PM


QUESTION POSTED AT 19/02/2020 - 01:33 PM

Find side b if a =10 inches and side c = 16 inches.

Then it would be 52inches or 160 inches depends of your looking for area or perimeter

ANSWERED AT 19/02/2020 - 12:49 PM


QUESTION POSTED AT 19/02/2020 - 12:49 PM

In the figure below, CEF is an equilateral triangle. Points B, C and E are collinear; Points A, C and F are collinear; g = 40 degrees; and k = 45 degrees. Find angle l. Show all work.

There exists the same question with the figure as shown in the attachment.

The given are:
g = 40 degrees
k = 45 degrees

Ask:
angle of " l "

So this is how to solve this:

Step 1:
Since CEF is an equilateral triangle, then each has 60 degrees.
i is equal to l because they are opposite angles

Step 2:
angle l is inside CEF, then the value of angle l is 60

ANSWERED AT 19/02/2020 - 12:21 PM


QUESTION POSTED AT 19/02/2020 - 12:21 PM

The population f(x), in millions, of State A of a country after x years is represented by the function shown below: f(x) = (1.08)x The graph shows the population g(x), in millions, of State B of the country after x years: Graph of function g of x equals 2 multiplied by 1.08 to the power of x Which conclusion is correct about the population of State A and State B? The original population of State B was half of the original population of State A. The original population of State A was half of the original population of State B. The original population of State B was one-fourth of the original population of State A. The original population of State A was one-fourth of the original population of State B.

-- State-A . . . Population = 1 · (1.08)ˣ

-- State-B . . . Population = 2 · (1.08)ˣ

' x ' = number of years after the original population
At the beginning, x=0.
Any quantity raised to the zero power = 1.
At the beginning, when x=0, the original populations were
       State-A  =  1 · 1  =  1
       State-B  =  2 · 1  =  2

The original population of State A was half of
the original population of State B.


ANSWERED AT 19/02/2020 - 11:53 AM


QUESTION POSTED AT 19/02/2020 - 11:53 AM

Evaluate the square root. /42 A. 7 B. 24.5 C. 98 D. 2401

Sqrt(42)= 6.487406984078602

confirm this answer on your calculator 

ANSWERED AT 19/02/2020 - 11:03 AM


QUESTION POSTED AT 19/02/2020 - 11:03 AM

4. Let f(x)=-2x+7 and g(x)=-6x+3. Find f×g and state its domain A. 12x^2-48x+21;all real numbers B. -14x^2+36x-18;all real numbers except x=7 C. -14x^2+36x-18;all real numbers D. 12x^2-48x+21;all real numbers except x=1

I hope this helps you

(f.g) (x)=(-2x+7)(-6x+3 )

(f.g)(x)=12x^2-6x-42x+21

(f.g)(x)=12x^2-48x+21

A

ANSWERED AT 19/02/2020 - 10:19 AM


QUESTION POSTED AT 19/02/2020 - 10:19 AM

If P(A) = 1/2, P(B) = 0, then P(A Î B) is???

It is given that P(A) = 1/2 and P(B) = 0
P(A Î B) = P (A ∩ B) / P(B) = P (A ∩ B)/0

As zero is in the denominator, the expression can't be defined. 

In short, final answer is not defined.

Hope it helped.

ANSWERED AT 19/02/2020 - 09:40 AM


QUESTION POSTED AT 19/02/2020 - 09:40 AM

Divide mentally. 1.2 ÷ 3,000 = ? a. 0.4 b. 0.04 c. 0.004 d. 0.0004

Answer:

i believe its D!

Step-by-step explanation:

ANSWERED AT 19/02/2020 - 01:14 AM


QUESTION POSTED AT 19/02/2020 - 01:14 AM

Triangles RQS and NTV have the following characteristics: • Right angles at ∠Q and ∠T • RQ ≅ NT Can it be concluded that ΔRQS ≅ ΔNTV by SAS? Why or why not? a. Yes, one set of corresponding sides and one corresponding angle are congruent. b. Yes, they are both right triangles. c. No, it is necessary to know that another set of corresponding sides is congruent. d. No, it is not possible for the triangles to be congruent

SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

In the given triangles RQS and NTV ,RQ ≅ NT and <∠Q ≅ ∠T .We need one more side to be equal to prove the triangles to be congruent.

Among all the options option  c. No, it is necessary to know that another set of corresponding sides is congruent is the right answer.


ANSWERED AT 19/02/2020 - 01:06 AM


QUESTION POSTED AT 19/02/2020 - 01:06 AM

The sum of the interior angles of an n-gon is _____(n - 2). 360° 180° 270° 540°

The sum of the interior angles of an n-sided polygon can be calculated using formula

\Sigma =(n-2)\cdot 180^{\circ}.

It is easy to verify:

1. If n=3 (the smallest possible number of sides for polygon), then the polygon is triangle and the sum of the measures of interior angles of triangle is always 180° .

2. If n>3, draw (n-3) diagonals from one vertex. This diagonals partition the polygon into (n-2) triangles. Thus, the sum of the interior angles of an n-sided polygon is equal to the sum of the measures of interior angles of (n-2) triangles that is

\Sigma =(n-2)\cdot 180^{\circ}.

Answer: correct choice is B

ANSWERED AT 19/02/2020 - 01:06 AM


QUESTION POSTED AT 19/02/2020 - 01:06 AM

Which is an equation in a slope intercept form for the line passing through (5,1) and (-4,7) A: y=-2/3x+13/3 B: y=-2/3x-13/3 C: y=2/3x-13/3 D: y=2/3x+13/3

The answer is A.
tbch i plugged them into a graphing calculator... ,:D too tired atm

ANSWERED AT 19/02/2020 - 01:00 AM


QUESTION POSTED AT 19/02/2020 - 01:00 AM

Joylin receives a $50 gift card for the local movie theater for her birthday. She uses the card to purchase tickets and snacks for her family. If Joylin spends $6 more on tickets than she does on snacks, how much does Joylin spend on tickets? A)$19 B)$22 C)$28 D)$31

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Value of gift card Joylin receives = $50

Let the amount she spends on snacks be x

Let the amount she spends on movie tickets be x+6

So, according to question, we get

x+x+6=50\\\\2x+6=50\\\\2x=50-6\\\\2x=44\\\\x=\frac{44}{2}\\\\x=\$22

So, Amount she spent on movie will be

22+6=\$28

Hence, Option 'C' is correct.


ANSWERED AT 19/02/2020 - 01:00 AM


QUESTION POSTED AT 19/02/2020 - 01:00 AM

A nest of ants initially contains 500 individuals. The population is increasing by 12% each week. a) How many ants will be there after : i. 10 weeks ii. 20 weeks b)How many weeks will it take for the ant population to reach 2000.

Answer:

a) (i) 1553 ants

(ii) 4823 ants

b) 12 weeks

Step-by-step explanation:

Given,

The initial number of ants, P = 500,

Also, the rate of increasing per week, r = 12% = 0.12,

So, the number of ants after x weeks,

A=P(1+r)^x

\implies A=500(1+0.12)^x=500(1.12)^x

a) (i) If x = 10 weeks,

The number of ants would be,

A=500(1.12)^{10}=1552.92\approx 1553

(ii) If x = 20 weeks,

The number of ants would be,

A=500(1.12)^{20}=4823.15\approx 4823

b) If A = 2000

\implies 2000 = 500(1.12)^x

4=(1.12)^x

Taking log both sides,

log(4) = xlog(1.12)

x =  12.23 ≈ 12 weeks

ANSWERED AT 19/02/2020 - 12:58 AM


QUESTION POSTED AT 19/02/2020 - 12:58 AM

Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices X'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?

Answer:

Rotation about 90° counter clockwise (x , y)  →→ ( -y, x ).

Step-by-step explanation:

Given  : Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices  X'(–3, 1), Y'(0, 0), and Z'(–2, –1).

To find : Which rule describes the transformation.

Solution : We have given

vertices X(1, 3) →→ X'(–3, 1)

Y(0, 0) →→ Y'(0, 0),

Z(–1, 2) →→ Z'(–2, –1).

Here , we can see in each coordinates value of y become -x and x  become y.

(x , y)  →→ ( -y, x ) this the rule of rotation about 90° counter clockwise.

Therefore,  rotation about 90° counter clockwise (x , y)  →→ ( -y, x ).

ANSWERED AT 19/02/2020 - 12:56 AM


QUESTION POSTED AT 19/02/2020 - 12:56 AM

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?

Answer

The rule of rotation R_{270^{\circ}} about the origin in counter-clockwise is given by:

(x,y) \rightarrow (y, -x)

The rule of rotation of R_{270^{\circ}} about the origin in clockwise is given by:

(x,y) \rightarrow (-y, x)

Given the coordinates of triangle RST :

R(1, 1)

S(-2, -4)

T(-3, -3)

We have to find the coordinates of S'

Apply the rule of rotation 270 degree counterclockwise on RST:

To find the S'

S(-2,-4) \rightarrow (-4, -(-2))=S'(-4, 2)

Apply the rule of  rotation 270 degree clockwise we have;

S(-2,-4) \rightarrow (-(4), -2)=S'(4, -2)

Therefore, the coordinates of S' counterclockwise  is: (-4, 2) and clockwise is: (4, -2)

ANSWERED AT 19/02/2020 - 12:49 AM


QUESTION POSTED AT 19/02/2020 - 12:49 AM

What is the name of a triangle that has two sides of equal length?

Isosceles Triangle has 2 equals sides

ANSWERED AT 19/02/2020 - 12:42 AM


QUESTION POSTED AT 19/02/2020 - 12:42 AM

Taylor buys 6 bus tickets. he pays for tickets with 20 dollar bill let c represent each cost of each ticket.

I hope this helps you



if 6 tickets $20



1 tickets $ ?



?.6=1.20



?=20/6


?=3.3

ANSWERED AT 19/02/2020 - 12:39 AM


QUESTION POSTED AT 19/02/2020 - 12:39 AM

What's the perimeter of a rectangle with length 12 m and width 5 m? A. 49 m B. 17 m C. 60 m D. 34 m

The answer is D. 34 m...Hope this helps.

ANSWERED AT 19/02/2020 - 12:37 AM


QUESTION POSTED AT 19/02/2020 - 12:37 AM