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3 years ago

Seven less than one half of x

Mathematics

1 answer:

damaskus [11]3 years ago

7 0

Answer:

X/2-7

Step-by-step explanation:

any number which is said to be less than another number let's say b should be subtracted from b.

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How do I figurevout <br> 2(x-y) and 2x-2y

Umnica [9.8K]

Answer:

2(x-y) and 2x-2y are equivalent.

Step-by-step explanation:

To figure out 2(x-y) and 2x-2y, you can apply the distributive property on

$2(x - y)$

to get:

$2(x - y) = 2x - 2y$

Or we can factor

$2x - 2y$

to get:

$2x - 2y = 2(x - y)$

This implies that, the two expressions are equivalent.

4 0

4 years ago

What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 27 − x^2? show your

LUCKY_DIMON [66]

Answer:

Option B.

Step-by-step explanation:

The given curve is

$y=27-x^2$

We need to find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve $y=27-x^2$ .

Let the vertex in quadrant I be (x,y), then the vertex in quadrant II is (-x,y) .

Length of the rectangle = 2x

Width of the rectangle = y

Area of a rectangle is

$Area=Length\times width$

$Area=2x\times y$

Substitute the value of y from the given equation.

$Area=2x(27-x^2)$

$A=54x-2x^3$ .... (1)

Differentiate with respect to x.

$\frac{dA}{dx}=54-6x^2$

Equate $\frac{dA}{dx}=0$ , to find the critical points.

$0=54-6x^2$

$6x^2=54$

Divide both sides by 6.

$x^2=9$

$x=\pm 3$

The value of x can not be negative because side length can not be negative.

Substitute x=3 in equation (1).

$A=54(3)-2(3)^3$

$A=162-54$

$A=108$

The area of the largest rectangle is 108 square units.

Therefore, the correct option is B.

7 0

3 years ago

A tower that is 126 feet tall casts a shadow 148 feet long. Find the angle of elevation of the sun to the nearest degree.

Iteru [2.4K]

Answer:

$\boxed{\theta = 40 \degree}$

Step-by-step explanation:

$\tan( \theta ) = \frac{opp}{adj} = \frac{126}{148} \\ \theta = { \tan}^{ - 1} (0.8513) \\ \theta = 40.4$

6 0

3 years ago

Help

Flauer [41]

A) Measure of Angle L is 67.5. Angle F & Angle L are alternate interior angles.

b) Measure of Angle E is 112.5, because we know that F and H are vertical angles, so therefore they’re congruent. We also know H and E are adjacent, so H + E = 180.

c) Angles E and K are alternate exterior angles. Measure of Angle K is 112.5.

d) Measure of Angle H is 67.5, because we know that Angle F, which is vertical to Angle H, is 67.5. Vertical angles are congruent.

e) Measure of Angle I is 112.5, because Angle I and Angle K are vertical angles.

f) They’re corresponding angles.

3 0

2 years ago

Help me solve for the right triangle

AleksAgata [21]

Answers:

B = 50

a = 10.9

c = 17.0

================================================

Explanation:

This is a right triangle, so the acute angles are complementary, meaning they add to 90

B+40 = 90

B+40-40 = 90-40

B = 50

Also, because this is a right triangle, we can use trig ratios to compute the missing sides

tan(angle) = opposite/adjacent

tan(40) = a/13

a = 13*tan(40)

a = 10.908

a = 10.9

cos(angle) = adjacent/hypotenuse

cos(40) = 13/c

c*cos(40) = 13

c = 13/cos(40)

c = 17.0

note: make sure your calculator is in degree mode

7 0

4 years ago