Please help me on this it’s due please help now

Find the value of x, given cos 0 = 0.4<br><br><br><br> PLEASE HELP!!!!!! And explain if possible

elena-14-01-66 [18.8K]

Answer:

$x=30$

Step-by-step explanation:

For each right-angled triangle:

$\cos\theta=\frac{cathetus \ adjacent \ \theta}{hypotenuse}$

Because $\cos \theta=0.4, \ \ cathetus\ adjacent \ \theta \ = \ 12, \ \ \ hypotenuse=x$

we have an equation

$0.4=\frac{12}x$

multiplying both sides by x, we get $0.4x=12$

dividing both sides by 0.4 and $x=\frac{12}{0.4}$

using calculator, we divide 12 by 0.4

and finally x=30

8 0

3 years ago

HELP!! Jamaal bounces on a trampoline. His height, as a function of time, is modeled by y= -16x2(power of 2) + 20x + 4.

Harrizon [31]

Answer:

B the function is nonlinear

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

-2(x-6)+7=35<br> How do I solve this equation with all the steps

vlada-n [284]

-2(x-6)+7=35 -2x+6+7=35 (Distributive property) -2x+13=35 (Simplify, combine like terms) -2x+13-13=35-13 -2x=22 -2x/-2=22/-2 X=-11

3 0

3 years ago

COMPLETING THE SQUARE<br> X^2– 2x +

Studentka2010 [4]

Answer:

x^2 -2x + 1

Step-by-step explanation:

Think of a quadratic equation as

ax^2 + bx + c

x^2 -2x +

Comparing the two equations

a = 1 , b = -2, c = ?

c becomes the missing part

Divide b by 2

-2/2 = -1

square the result

-1^2

= 1 this is what to add to get a perfect square

x^2 -2x + 1

(x - 1)^2

6 0

3 years ago

I will give lots of points please help

aalyn [17]

Answer:

a) 81π in³

b) 27 in³

c) divide the volume of the slice of cake by the volume of the whole cake

d) 10.6%

e) see explanation

Step-by-step explanation:

The cake can be modeled as a <u>cylinder </u>with:

diameter = 9 in
height = 4 in

$\sf Radius=\dfrac{1}{2}diameter \implies r=4.5\:in$

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

$\begin{aligned}\sf \implies \textsf{Volume of the cake} & =\pi (4.5)^2(4)\\ & = \sf \pi (20.25)(4)\\ & = \sf81 \pi \:\: in^3\end{aligned}$

$\begin{aligned}\textsf{Circumference of the cake} & = \sf \pi d\\& = \sf 9 \pi \:\:in\end{aligned}$

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

$\begin{aligned}\implies \textsf{Volume of slice of cake} & = \sf \dfrac{3}{9 \pi} \times \textsf{volume of cake}\\\\& = \sf \dfrac{3}{9 \pi} \times 81 \pi\\\\& = \sf \dfrac{243 \pi}{9 \pi}\\\\& = \sf 27\:\:in^3\end{aligned}$

The volume of each slice of cake is 27 in³.

The volume of the whole cake is 81π in³.

To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

$\begin{aligned}\implies \sf Probability & = \sf \dfrac{27}{81 \pi}\\\\& = \sf 0.1061032954...\\\\ & = \sf 10.6\% \:\:(1\:d.p.)\end{aligned}$

Probability is approximately 10.6% (see above for calculation)

If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>. So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.

3 0

2 years ago