You earned $1,200.50 over a three-week period. How many hours did you work?

Suppose you need to know an equation of the tangent plane to a surface S at the point P(4, 1, 4). You don't have an equation for

Alex777 [14]

Answer:

$15x-8y+9z=88$

Step-by-step explanation:

We are given that

Equation of curves

$r_1(t)=$

$r_2(u)=$

Both curves lie on S.

We have to find the equation of tangent plane at P(4,1,4).

$r'_1(t)=,r'_2(u)=$

$r_1(0)=, r_2(1)=$

Hence, t=0 and u then it satisfied the given point.

Substitute the values in the derivatives

$r'_1(0)=,r'_2(1)=$

$r'_1(0)\times r'_2(1)=\times =$

The equation of tangent at point P(4,1,4) is given by

$30(x-4)-16(y-1)+18(z-4)=0$

$30x-120-16y+16+18z-72=0$

$30x-16y+18z=176$

$15x-8y+9z=88$

5 0

3 years ago

ASAP ILL GIVE BRAINLIEST IF UR RIGHT!!! The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of

Blababa [14]

Answer: V = $100\pi$ $in^{3}$ (third option)

Given Information:

V = $\frac{1}{3}\pi r^{2} h$ <-- volume formula.
r = 5
y = 13
h = ?

To find h...

h, r, and y make a right triangle.
h and r are the two legs, y is the hyptenuse.
$h^{2} + r^{2} = y^{2}$
$h^{2} + 5^{2} = 13^{2}$
$h^{2} + 25 = 169$
$h^{2} = 144$
h = 12

Use formula:

V = $\frac{1}{3}\pi r^{2} h$
V = $\frac{1}{3} \pi (5)^{2} (12)$
V = $\frac{1}{3} \pi (25)(12)$
V = $\frac{1}{3} \pi (300)$
V = $100\pi$

7 0

2 years ago

Read 2 more answers

You roll a number cube twice. Find the probability of the events. Rolling an even number of 5.

lys-0071 [83]

Answer:

An even number and a 5. In the first roll you can get 2, 4 or 6, so you have 3 out of 6 options, the probability is 3/6 = 1/2, in the second roll you need you get a 5, the probability is 1/6.

I really hope this helps please give brainliest!!!!

5 0

2 years ago

How can i factorise <img src="https://tex.z-dn.net/?f=12x%20-%206" id="TexFormula1" title="12x - 6" alt="12x - 6" align="absmidd

Lorico [155]

Answer:

6(2x - 1)

Step-by-step explanation:

Given

12x - 6 ← factor out common factor of 6 from both terms

= 6(2x - 1) ← in factored form

8 0

2 years ago

Read 2 more answers

In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.

Nutka1998 [239]

28.1 feet

explaination

\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}

cosU=

hypotenuse

adjacent

=

x

9.6

\cos 70=\frac{9.6}{x}

cos70=

x

9.6

x\cos 70=9.6

xcos70=9.6

Cross multiply.

\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}

cos70

xcos70

=

cos70

9.6

Divide each side by cos 70.

x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}

x=

cos70

9.6

=28.0685≈28.1 feet

Type into calculator and roundto the nearest tenth of a foot.

8 0

2 years ago