Find the value of y
A) 9.850
B) 18.610
C) 65.825
D) 125.365

Answer:

125

Step-by-step explanation:

the bearing of b to a is equal to 85+45

Answer:

The x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.

Step-by-step explanation:

We have the function:

[tex]\displaystyle y=\frac{x^2 -1}{x}[/tex]

And we want to find the x-coordinates for which the gradient (or slope) at the point is 5.

The gradients of a curve at a point is given by its derivative. Find the derivative:

[tex]\displaystyle \frac{dy}{dx}=\frac{d}{dx}\left[\frac{x^2-1}{x}\right][/tex]

Use the quotient rule:

[tex]\displaystyle \frac{dy}{dx}=\frac{(x^2-1)'(x)-(x^2-1)(x)'}{(x)^2}[/tex]

Simplify:

[tex]\displaystyle \frac{dy}{dx}=\frac{(2x)(x)-(x^2-1)(1)}{x^2}[/tex]

Simplify:

[tex]\displaystyle \frac{dy}{dx}=\frac{x^2+1}{x^2}[/tex]

Since the gradient is 5, substitute 5 for dy/dx and solve for x:

Multiply both sides by x² (x ≠ 0):

[tex]5x^2=x^2+1[/tex]

Subtract x² from boths sides:

[tex]4x^2=1[/tex]

Solve for x:

[tex]\displaystyle x=\pm\sqrt{\frac{1}{4}}=\frac{1}{2}\text{ or } -\frac{1}{2}[/tex]

So, the x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.

Answer:

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.

Answer:

87/100

Step-by-step explanation:

Answer:

a) 30.60

b) 1010/33 = 30.60

Step-by-step explanation:

Answer:

158 m^2

Step-by-step explanation:

l = 5 m, w = 3 m, h = 8 m

S.A. = [tex]2(lw+wh+lh)[/tex]

S.A. = 2{(5)(3) + (3)(8) + (5)(8)}

S.A. = 2(15 + 24 + 40)

S.A. = 2(79)

S.A. = 158 m^2

Hope this help!!!

Have a nice day!!!

Step-by-step explanation:

p^2+b^2=h^2

or, 16+9=h^2

or, 25=h^2

or h=5

again, p^2 +b^2=h^2

or, 25+b^2=36

or, b^2=11

or. b=√11 therefore b=x=√11

An angle of depression is measured from the horizon downwards and an angle of elevation is measured from the horizon upwards.

When solving for the sides or angles of a right triangle you can use trigonometry. The sine of an angle is found by the ratio of the opposite side and the hypotenuse. The cosine of an angle is found by the ratio of the adjacent side and the hypotenuse. The tangent of an angle is found by the ratio of the opposite side and the adjacent side.

The opposite side is always the leg opposite the angle that you are using. The adjacent side is the leg that forms one of the sides of the angle you are talking about and the hypotenuse is always across from the right angle.

If you know two lengths you can find the third leg length by using the Pythagorean Theorem.

Answer:

It's B (1÷13=3) for Part a

1 whole is equal to 3/3. One batch of brownies uses up to 1/3 of butter. So 1 ÷ 1/3 = 3.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

14+6(9-6)

[9-6=3]

14+6x3

[6x3=18]

14+18

32

---

hope it helps

Answer:

14+6×(9-6)=32

Step-by-step explanation:

everything can be found in the picture

Answer:

x = 102

Step-by-step explanation:

The angles form a straight line

Angles that form a straight line add up to equal 180

Hence, x + 78 = 180

Subtract both sides by 78

180 - 78 = 102

78 - 78 cancels out

Were left with x = 102

Answer:

8,-9,9

Step-by-step explanation:

Answer:

Th answer is D

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

Since a triangle is 180 degrees

you then add to 2 degrees given and subtract it from 180

65+35=100

180-100=80 degrees

Answer:

4

Step-by-step explanation:

in y=mx+b, the "b" is the y-intercept

Answer:

4

it's in y = mx + b form, where b is the y-intercept

Answer:

[tex]AC = 28[/tex]

Step-by-step explanation:

Given

[tex]AB = 16[/tex]

[tex]BC = 12[/tex]

Required

Determine AC

Since A, B and C are collinear, then:

[tex]AC = AB + BC[/tex]

So, we have:

[tex]AC = 16 + 12[/tex]

[tex]AC = 28[/tex]

answer:

ABCD is not congruent to KLMN

ABCD cannot be mapped onto KLMN

Answer:

x => y

0 => 0

2 => 3

4 => 6

-2 => -3

Step-by-step explanation:

The equation of a proportional relationship is represented as y = kx,

where, k = y/x

We are given that k = ³/2

This means that, equation of the relationship therefore would be:

y = ³/2x

Use this equation to solve for each missing value on the table given:

✔️Where, y = 0, substitute y = 0 into y = ³/2x to find x:

0 = ³/2x

0 * 2 = 3x

0 = 3x

0/3 = x

x = 0

✔️Where, x = 2, substitute x = 2 into y = ³/2x to find y:

y = ³/2(2)

y = 3

✔️Where, y = 6, substitute y = 6 into y = ³/2x to find x:

6 = ³/2x

6 * 2 = 3x

12 = 3x

12/3 = x

x = 4

✔️Where, x = -2, substitute x = -2 into y = ³/2x to find y:

y = ³/2(-2)

y = -3

Answer:

x = 40

Step-by-step explanation:

Two triangles are similar so we can use similarity ratio to find x

x/16 = 35/14 cross multiply expressions

14x = 560 divide both sides by 14

x = 40

Answer: The total amount of money Darrell earns selling bookcases

Answer

Step-by-step explanation:

The dependent variable refers to the variable which is tested or measured or tested when an experiment is done. The dependent variable normally depends on the independent variable.

In this question, the independent variable is the bookcase while dependent variable is the total amount of money Darrell earns selling bookcases.

Answer:

[tex]Area = 216.108cm^2[/tex] --- You

[tex]Area = 216.940cm^2[/tex] --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

[tex]Length = 20.70cm; Width =10.44cm[/tex]

Another students'

[tex]Length = 20.74cm; Width =10.46cm[/tex]

Solving (a): The area

Area is calculated as:

[tex]Area = Length * Width[/tex]

For you

[tex]Area = 20.70cm * 10.44cm[/tex]

[tex]Area = 216.108cm^2[/tex]

For the other student

[tex]Area = 20.74cm * 10.46cm[/tex]

[tex]Area = 216.940cm^2[/tex]

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.

Answer:

[tex]A(x) = 12000(1.04)^x[/tex]

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that [tex]P = 12000[/tex]

Compounded at 4% interest annually.

This means that [tex]r = 0.04, n = 1[/tex]

What equation will calculate the value in x years?

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]

[tex]A(x) = 12000(1 + 0.04)^x[/tex]

[tex]A(x) = 12000(1.04)^x[/tex]

Answer:

Both are correct

I'm only checking the first page

Step-by-step explanation:

Answer:

Step-by-step explanation:

The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.

The 4th page the bottom one is wrong the correct answer is -22.

Answer:

The dimensions are four by two by two meters.

Step-by-step explanation:

The volume for a rectangular prism is given by:

[tex]V=\ell wh[/tex]

Where l is the length (or depth), w is the width, and h is the height.

Since the height and width are both two meters less than the depth, we can write that:

[tex]h=\ell -2\text{ and } w = \ell -2[/tex]

We are also given that the total volume is 16 cubic meters. Substitute:

[tex]16=\ell(\ell -2)(\ell -2)[/tex]

Expand:

[tex]16=\ell(\ell^2 -4\ell +4)[/tex]

Distribute:

[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]

Isolate the equation. So:

[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]

We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:

[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]

Factor:

[tex](\ell ^2+4)(\ell -4)=0[/tex]

Zero Product Property:

[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]

Solve for each case:

[tex]\ell^2=-4\text{ or } \ell =4[/tex]

Since we cannot take the square root of a negative number, we can ignore the first case.

Therefore, the length (or depth) of the storage space is four meters.

Thus, the dimensions are four by two by two meters.

Answer:

m∠ACD = 130

Step-by-step explanation:

If ABC is an isosceles, AB = AC and m∠A = 80°, then m∠B and m∠C is equal to 50°.

This is because angles in a triangle adds up to 180°.

180° - 80° = 100°/2 = 50°

∴ m∠ACD = 130°, this is because the interior opposite angles in a triangle is supplementary to the opposite exterior angle:

50° + 80° = 130°

Or

Angles on a straight line adds up to 180°.

180° - 50° = 130°

Answer:

3 mi of fencing would be required to enclose this field.

Step-by-step explanation:

Here we are finding the perimeter of a field with given length and width.  We apply the perimeter formula P = 2L + 2W.  Substituting the given dimensions, we get:

P = 2(1 mi) + 2(0.5 mi), or

P = 2 mi + 1 mi = 3 mi

3 mi of fencing would be required to enclose this field.

Answer:

15840 feet of fencing = Perimeter = 15840ft

However, if fencing is 6ft or 10ft we need to divide by the length of each fence for panels.

See bold.

Step-by-step explanation:

6ft fencing = 5280/6 = 880 fences one length

880 x 2 = 1760 6ft fences 2 sides

0.5 x 1760 = 880

1760+ 880 = 2640 fences each 6ft

Total feet of fence = 2640 x 6 =15840 feet of fencing

Answer:

≈ 5.5 minutes.

Step-by-step explanation:

Let m = number of minutes on the trampoline.

[tex]1.45m+7.25=15.23\\1.45m=7.98\\m=5.5[/tex]

She was on the trampoline for approximately 5.5 minutes.

Answer:

= 5.5 minutes

Step-by-step explanation:

1.45  + 7.25  = 15. 23

1. 45 = 15. 23 - 7. 25

1. 45 = 7 . 98

m = 5.5

Hope this answer helps you :)

Have a great day

Mark brainliest