Given the vectors a and b, with lengths 21 and 44 respectively, and cosine of the angle between them equal to StartFraction 7 Over 12 EndFraction, find the scalar projection of a onto b and a · b.
ab =
a · b =

Answer:

90°

Step-by-step explanation:

BG=AG

ΔABG is an  Isosceles.

D is the midpoint of AB.

DG⊥AB

So, m∠BDG=90°

Answer:

The answer is 10

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

answer : x = 2

step 1 : move the constant to the right hand side and change its sign

ex : 2x=8-4

step 2 : subtract the numbers

ex : 2x=4

step 3 : divide both sides of the equation by 2

ex : x=2

solution : x=2

hope this helps !

- audrey ♡

Answer:

24.5-9-6

Step-by-step explanation:

Answer:

Im not sure what u mean sry is there an = sign somewhere cuz that does not make sence

Step-by-step explanation:

Answer:

−15w2−225w hope this helped

Answer:

Step-by-step explanation:

Given sequence:

This is an AP with first term of - 11 and common difference of 3

As an AP it is linear function with points

We can define slope as m = 3 and y-intercept as (0, -14) so the function is:

Answer:

21

Step-by-step explanation:

35% × 60 =

(35 ÷ 100) × 60 =

(35 × 60) ÷ 100 =

2,100 ÷ 100 =

21

Answer:

36 red marbles.

Step-by-step explanation:

all you need to do is multiply the ratio  until you get the right number.

Answer:

[tex]D. Real,\ Irrational[/tex]

Step-by-step explanation:

[tex]7\pi \\As\ we\ know\ that\ 7\pi \ is\ can\ be\ factorized\ into\ 7*\pi .\\As\ we\ know\ that\ \pi \ is\ a\ transcendental,\ and\ is\ non-terminating\ non-recurring,\ it\ is\ an\ irrational\ number.\\7\ is\ a\ rational\ number\ as\ it\ is\ terminating\ and\ can\ be\ represented\\ as\ \frac{7}{1} .i.e\ in\ a\ ratio.\\Now,\\As\ The\ product\ of\ a\ rational\ number\ and\ an\ irrational\ number\ is\ irrational.\\The\ product\ of\ 7\ and\ \pi \ which\ is\ 7\pi \ is\ also\ irrational.\\Hence,\\[/tex][tex]7\pi\ is\ irrational.\\As\ we\ know\ that\ all\ rationals\ and\ irrationals\ fall\ under\ the\ category\\ of\ Real\ numbers. All\ irrationals\ are\ real\ numbers\ too.\\Hence,\\7\pi \ which\ is\ an\ irrational [As\ Proven]\ is\ also\ a\ real\ number.\\Hence,\\7\pi \ is\ real\ and\ irrational.[/tex]

Answer:

9%

Step-by-step explanation:

Calculation for What percentage is her salary

Using this formula

Dianes salary percentage=Car payments per year/Salary per year

Let plug in the formula

Dianes salary percentage=$2,880 per year/$32,000 per year

Dianes salary percentage=0.09*100

Dianes salary percentage=9%

Therefore the percentage of her salary is 9%

Answer:

Step-by-step explanation:

The set up will give a right angled triangle where;

Base of the triangle = 90 ft (distance of the offshore from the base of the house)

theta = 26 degrees (angle of elevation)

Height of the house will be the opposite side = x

Using the TOA trig identity;

tan 26 = opp/hyp

tan 26 x/90

x = 90tan 26

x = 90(0.4877)

x = 43.89 ft

Hence the nearest height of the house is 44ft

Answer:Without a good credit score and history, the experts say, it's more difficult to qualify for a mortgage or car loan – and more expensive, too, because you won't get the best interest rates. In many states, bad credit can even raise your insurance premiums, cost you a rental apartment, or make it harder to get hired.

Step-by-step explanation:

Answer:

g(x) = - 3  ;   x = 3

p(x) = - 5  ;   x = -3, -9

f(x) = 5  ;  x = 3, 5  

Answer: There are 48 blue cards in the game.

Step-by-step explanation:

Given: In a certain card game, for every 4 blue cards, there are 3 yellow cards.

Total cards = 4+3 = 7

There are a total of 84 blue and yellow cards in the game.

Number of blue cards = [tex]\dfrac{4}{7}\times 84=4\times12 = 48[/tex]

Hence, there are 48 blue cards in the game.

Answer:

48

Step-by-step explanation:

BE YOU YOU IS THE BEAST YOU

Answer:

3.125 inches would result in 122 miles.

Step-by-step explanation:

We can figure this out using proportions.

[tex] \frac{20 \: miles}{ \frac{1}{2} \: inches} = \frac{x}{3.125 \: inches} \\ \\ \frac{ \frac{1}{2}x }{ \frac{1}{2} } = \frac{62.5}{ \frac{1}{2} } \\ \\ x = 122[/tex]

122 miles would be the answer.

Answer:

125 miles

Step-by-step explanation:

[tex]\frac{20}{\frac{1}{2}}=\frac{x}{3.125}\\x=40 \times 3.125=125 \\x=125~miles[/tex]

Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

                                                FOR (1, 2)

Given

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

                                                    FOR (2, 4)

Given

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)                                        

Answer:

I think the answer is 11 because 2x + 3x=5 and 1 + 10=11

Answer:

2 times 13 is 26 and 26 times 8 is 206

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Think of the equation as 3/4 x 8/1.  Multiply across to get 24/4 which can be simplified to the number 6.

Answer:

7 B - 50

Step-by-step explanation:

Answer:

X = 1.6

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

The correct statements are as follows;

1. They have different y-intercepts

2. The substitution method results in false statement 8 = -1

3. There is no solution

Step-by-step explanation:

Here, we want to select the statement that best describes the equations

The equation for a straight line is generally;

y = mx + b

m is slope and b is the y-intercept

slope of both is same ; 4

So first assertion is wrong

they have different y-intercepts

First y-intercept is 8, second is -1

This is correct

The third statement is correct too

if we equated both y;

4x + 8 = 4x -1

We shall have 4x canceled out and left with 8 = -1

(8,-1) is not a solution

There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible

Answer:

B,C and E

Step-by-step explanation:

It is trust me

Answer:

I believe the answer is B

Step-by-step explanation:

good luck

Answer:

588,499

Step-by-step explanation:

you just divide