Consider vectors u = (2, 1) and v = (4, -1) with the angle between them equal to 40°. What are the scalar projections
uy and v?

Answer:

20 + 25 =45

9(2+3)

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

First find the value of x

Since given triangles are congruent,

Therefore measures of corresponding sides will be equal.

4x + 1 = 13

4x = 13 - 1

4x = 12

x = 12/4

x = 3

Next,

2x + y = 8x - 2y

y + 2y = 8x - 2x

3 y = 6x

3y = 6*3 (plug x = 3)

3y = 18

y = 18/3

y = 6

Answer:

i think D

Step-by-step explanation:

Answer:

depth, latitude, and seasons

Step-by-step explanation:

Three causes for water temperature variation in ocean water are depth, Latitude, and season. Then the correct option is A.

Surface water temperature depends on latitude and season. The temperature of the surface water in the ocean changes from place to place and from season to season.

Ocean temperature depends on the amount of solar energy absorbed. For example, tropical oceans receive a lot of direct overhead sunlight for much of the year, so the water is warm.

The temperature of the surface waters varies mainly with latitude. For example, The polar seas which are found in high latitude can be as cold as -2 degrees Celsius while the Persian Gulf which is in low latitude can be as warm as 36 degrees Celsius.

Hence, the correct option is A.

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Answer:

102 1/3 swimmers

Step-by-step explanation:

Let

Number of swimmers on Tuesday = x

Number of swimmers on Monday = 2x

Number of swimmers on Wednesday = 3x - 11

Total swimmers for all 3 days = 625

x + 2x + (3x - 11) = 625

3x + 3x - 11 = 625

6x = 625 - 11

6x = 614

x = 614 / 6

= 102 2/6

x = 102 1/3 swimmers

Number of swimmers on Tuesday = x = 102 1/3 swimmers

Number of swimmers on Monday = 2x

= 2(102 1/3)

= 204 2/3

Number of swimmers on Wednesday = 3x - 11

=3(102 1/3) - 11

= 307 - 11

= 296

Answer:

The first one on the left

Step-by-step explanation:

Answer:

i think its the first one

Step-by-step explanation:

Answer:

r≈2.55

hope this helps!

Answer:

5,000

Step-by-step explanation:

length x width x height

4 x 50 x 25 = 5,000

Answer:

well what I learned is

the volume of the cube is

l × b × h ( length × breath × height)

Step-by-step explanation:

solution

the volume of the cube is : l × b × h

= 4m × 50m × 25m

= 5000m

Answer:

A-83 degrees

Step-by-step explanation:

n intersects the middle line, making m5 and m6 supplementary, meaning they  add up to 180 degrees.

180-97=m5

180-97=83

Answer:

42 people

Step-by-step explanation:

If the girls to boys 2:4, and there are 14 that means it is times 7. 4 times 7 = 28.

14 + 28 is 42.

Step-by-step explanation:

(2³ × 2¹)²

(2⁶ × 2²)

for indices , × become +, plus

÷ become -, minus

so

2⁶+²

2⁸

Answer:

[tex] 6.3 \le p \le 8.1 [/tex]

The third reading must be between 6.3 and 8.1 inclusive.

Step-by-step explanation:

To find the average of three numbers, add the three numbers and divide by 3.

Let the third reading = p.

The average of the three readings is

[tex] \dfrac{7.4 + 7.9 + p}{3} [/tex]

This average must be between 7.2 and 7.8 inclusive. "Inclusive" means that the values 7.2 and 7.8 are allowed. That means the average must be greater than or equal to 7.2 and less than or equal to 7.8. We can write this as the following inequality.

[tex] 7.2 \le \dfrac{7.4 + 7.9 + p}{3} \le 7.8 [/tex]

Simplify the numerator.

[tex] 7.2 \le \dfrac{15.3 + p}{3} \le 7.8 [/tex]

Multiply the three sides by 3.

[tex] 21.6 \le 15.3 + p \le 23.4 [/tex]

Subtract 15.3 from the three sides.

[tex] 6.3 \le p \le 8.1 [/tex]

Answer: The third reading must be between 6.3 and 8.1 inclusive.

Answer:

C.100

Step-by-step explanation:

arithmetric progression formula

a+(n-1)(d)

345-352=338-345

-7=-7

d=-7

a=352 d=-7

37th term=352 + (37-1)(-7)

=352 + (36)(-7)

=352 + (-252)

=100

Answer:

Step-by-step explanation:

331

Answer:

I think it's C

Answer:

-121

Step-by-step explanation:

Answer:

0.19 servings

Step-by-step explanation:

Pounds of lasagna left over = 3 pounds

Pounds per serving = 16 pounds

How many servings of lasagna can she serve with the amount left over?

Number of servings =pounds of lasagna left / pounds per serving

= 3 / 16

= 0.1875 servings

Approximately 0.19 servings

Answer: c)C=1.8p

Step-by-step explanation: Each pound of roasted peanuts cost $1.55. The shipping fee for each pound is $0.25. If you add them together, you will get $1.80. An example is if you did $1.8 x 5, you would get $9.00. 1.55 x 5 is $7.75 and 0.25 x 5 is 1.25 and if you add them, you will get $9.00

Answer:

B. X = 15

Y = 5

Step-by-step explanation:

It’s the answer

Answer:

Simplifying

X + -4 = 2x

Reorder the terms:

-4 + X = 2x

Solving

-4 + X = 2x

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + X = 4 + 2x

Combine like terms: -4 + 4 = 0

0 + X = 4 + 2x

X = 4 + 2x

Simplifying

X = 4 + 2x

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

The answer is (3,-3)

Step-by-step explanation:

y=(1/3)x-4

simplify:

y= (.3*x) -4

substitute:

-3= (.3*3) -4

solve:

PEMDAS

-3= (.3*3) -4

-3= .9 - 4

-3= -3.1

although this is not the exact same it is the closest out of all the equations therefore the best answer you have

Answer:

angle a = 70

angle b = 45

angle c = 65

Step-by-step explanation:

x = 2

5x + 10 x = 18 + 12

15x = 30

x = 2

Answer:

x=-2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I hope this helps you out!

Answer: asa

Step-by-step explanation: there are two congruent angles and one pair of congruent sides

Answer:

Slope: [tex]\frac{4}{3}[/tex]

Y-intercept: 2

Equation: [tex]y=\frac{4}{3}x+2[/tex]

Step-by-step explanation:

Answer:

she earns $10 per hour, and can earn $1 in 6 minutes (60 min divided by $10)

Step-by-step explanation:

Answer:

4 DVD's

Step-by-step explanation:

8.50+5.00=13.5x4=54, so he spent $54, and got $2 in change