[tex]x = 4 \cos(a) [/tex]
[tex] \frac{x}{4} = \cos(a) \\ [/tex]
[tex]( { \frac{x}{4} })^{2} = ({ \cos(a) })^{2} \\ [/tex]
[tex] \frac{ {x}^{2} }{16} = {cos}^{2} (a) \\ [/tex]
_____________________________________________
[tex]y = 5 \tan(a) [/tex]
[tex] \frac{y}{5} = \tan(a) \\ [/tex]
[tex]( { \frac{y}{5} })^{2} = ( { \tan(a) })^{2} \\ [/tex]
[tex] \frac{ {y}^{2} }{25} = {tan}^{2} (a) \\ [/tex]
_____________________________________________
Thus ;
[tex] \frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{25} = \\ [/tex]
[tex] {cos}^{2} (a) - {tan}^{2} (a)[/tex]
Jackson wants to make a scale drawing of idaho, which has a maximum length of about 480miles and a maximum width of about 300 miles. Jackson will use a width of 40 centimeters in his drawing. How long should the length of idaho be in jackson’s drawing?
Answer:
64
Step-by-step explanation:
scale problem
ratio:
300/480 = 40/x
300x = 19200
x = 19200/300
x = 64
quiziz
What is the area
of a sector
when 0=pi/2 radians and
8/
3?
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2}~~ \begin{cases} r=radius\\ \theta =\stackrel{radias}{angle}\\[-0.5em] \hrulefill\\ r=\frac{8}{3}\\ \theta =\frac{\pi }{2} \end{cases}\implies A=\cfrac{~~ \left( \frac{\pi }{2} \right)\left( \frac{8}{3} \right)^2~~}{2}\implies A=\cfrac{~~ \left( \frac{\pi }{2} \right)\left( \frac{64}{9} \right)~~}{2} \\\\\\ A=\cfrac{~~\frac{32\pi }{9} ~~}{\frac{2}{1}}\implies A=\cfrac{32\pi }{9}\cdot \cfrac{1}{2}\implies A=\cfrac{16\pi }{9}[/tex]
The height of a triangular truss is 5 ft less than the base. The amount of drywall needed to cover the triangular area is 84 ft2. Find the base and height of the triangle to the nearest tenth of a foot.
Answer:
Base: 15.1 ft
Height: 11.1 ft
Step-by-step explanation:
(15.1 x 11.1)/2 = 84.07
84.07 ≈ 84
This is the closest answer.
HELP PLS GIVING 20 POINTS!!!! LOOK AT PICTURE FOR QUESTION!!!
Answer:
75; 76; 77
Step-by-step explanation:
four times the sum of 3 consecutive numbers
first number is X
second is X+1
third is X+2
4 × (x + x+1 + x+2) = 912
4(3x + 3) = 912
12x = 912 - 12
x = 900/12
x = 75
the three numbers are : 75 , 76 , 77
A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. If a cup of tea has 66 milligrams of caffeine, how much caffeine is in a cup of coffee?
Answer:
120 milligrams
Step-by-step explanation:
x=coffee
x-54=tea
x-54=66
x=66+54=120
A square pyramid is shown sitting on its base.
Answer:
312
Step-by-step explanation:
First we find the measure of the basea and that is 144 becuase 12x12
To find one side we do b*h over 2 and that is 7x12/2 which is 42 then we know that there are 4 more of those sides and we get 42*4 168
When we add 144+168 we will get 312
Evaluate the piecewise function by matching the domain values with the range values.
The subfuctions of the piecewise function f(x) are linear functions
The matching values of the domain values with the range values are
x f(x)
-4 -7
-2 -8
0 -2
2 4
4 -4
8 -12
How to evaluate the piece-wise function?The function is given as:
[tex]f(x) = \left[\begin{array}{cc}x-3&x\le-4\\3x-2&-4 < x\le 2\\-2x+4&x > 2\end{array}\right][/tex]
The above definition means that:
All x values less than or equal to -4 would be evaluated using f(x) = x - 3All x values greater than -4 but less than or equal to 2 would be evaluated using f(x) = 3x - 2All x values greater than 2 would be evaluated using f(x) = -2x + 4Using the above highligts, we have:
f(-4) = -4 - 3 = -7
f(-2) = 3(-2) - 2 = -8
f(0) = 3(0) - 2 = -2
f(2) = 3(2) - 2 = 4
f(4) = -2 * 4 + 4 = -4
f(8) = -2 * 8 + 4 = -12
So, the matching values are
x f(x)
-4 -7
-2 -8
0 -2
2 4
4 -4
8 -12
Read more about piecewise functions at:
https://brainly.com/question/10733545
You have a bag of marbles. In the bag, there is a red, blue,
white, yellow, orange and black marble. Find the probability
that you choose the red, then the blue marble (you don't
replace the first marble you draw). Express your answer as a
simplified fraction.
Answer:
1/6 probability that you choose red
1/6 probability that you choose blue
Step-by-step explanation:
There are 6 marbles and only one is red, same with blue, so out of six times you pick a marble you will get the blue once and red once.
A triangle has angle measurements of 36°, 83°, and 61°. What kind of triangle is it?
Answer:
It is an acute truangle.
Step-by-step explanation:
It is an acute triangle since all of the side are less than 90 degrees.
If nitrogen is warmer than -320 degrees Fahrenheit, it will be a gas.
Write an inequality that is true only for temperatures at which nitrogen is a gas.
Answer:
Step-by-step explanation:
If nitrogen is warmer than -320 degrees farenheit it will be gas .write an inequality that is true only for temperatures (t) at which nitrogen is a gas.
✓ t>-320=gas if I'm thinking about it correctly
The perimeter of a deck is 48 ft. If the length is 16 ft., what is the width?
Answer:
8
Hope This Helps1 :) Please give Brainliest if this does!
Refer to attachment below;
Which decimal is equivalent to 0.75?
Answer:
Fracción
3/4
Fracciones equivalentes
6/8
Decimal
0,75
Answer:
3/4.
Step-by-step explanation:
0.75 = 75/100
= 3/4
Suppose a sample of 313 tankers is drawn. Of these ships, 235 did not have spills. Using the data, estimate the proportion of oil tankers that had spills.
Answer:
78
Step-by-step explanation:
313 - 235 = 78
How do you do 42.5 times 86?
Answer:
3655 use a calculator
Step-by-step explanation:
Write an inequality for the given graph.
Answer:
y ≤ -3/4x + 3Step-by-step explanation:
Calculating slope
m = Rise/Runm = -3/4Y-intercept : (0, 3)
Equation of line
y = mx + cy = -3/4x + 3Inequality
y ≤ -3/4x + 3
Volume of a box If a box has a volume of 42 cubic feet, is it possible for you to
fit inside the box? Explain your answer
Answer:
yes ,because the average human hight
cannot exceed 7squared feets
Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.
What is a box?In mathematics, a box is a three-dimensional shape that has six rectangular faces.
It is also called a rectangular prism.
The faces on opposite sides of a box are congruent and parallel. A box has a height, width, and length, which are usually labeled as h, w, and l.
The volume of a box can be found by multiplying its length, width, and height: V = l × w × h.
We have,
The volume of a box is a measure of the amount of space inside the box, typically measured in cubic units such as cubic feet or cubic meters.
If a box has a volume of 42 cubic feet, it is simply telling us the amount of space inside the box.
Whether a person can fit inside the box or not depends on the size of the box and the size of the person.
Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.
So,
We need more information to answer this question.
Thus,
Without knowing the dimensions of the box or the size of the person, we cannot determine whether the person can fit inside the box or not.
Learn more about box here:
https://brainly.com/question/16183371
#SPJ2
(7y to the fourth power) to the second power
Answer:
7y^(8)
Step-by-step explanation:
(7y^4)^2
=7y^(4×2)
=7y^(8)
Find the slope of the line graphed below.
Answer:
—7/3
Step-by-step explanation:
1) Choose two points on it.
like (1,3) and (4,—4)
2) slope is
[tex]slope = \frac{y2 - y1}{x2 - x1} = \frac{3 + 4}{1 - 4} = \frac{7}{ - 3} = - \frac{7}{3} [/tex]
Answer:
-7/3
Step-by-step explanation:
Slope formula:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
The two points on the graph are (1,3) and (4,-4).
Substitute into the formula:
[tex]\frac{-4 - 3}{4 - 1}[/tex]
Simplify:
[tex]\frac{-4 - 3}{4 - 1} = \frac{-7}{3}[/tex]
cos ∅ = 5/13 and sin ∅ < 0. Identify the quadrant of ∅ and find sin ∅.
Answer:
Step-by-step explanation:
help me please with this problem
Answer:
20.4
Step-by-step explanation:
First you do 8947.95/30.25 and you will get 295.8 the you divide that by 14.5 and you will get 20.4 and that will be your answer
What is the slope-intercept equation for this line?
Answer:
the slope intersection is xy
y=-3x+4
Solution:We are given 2 points: (1,1) and (0,4)We can use these points to find the slope of the line:[tex]m=\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{4-1}{0-1}[/tex][tex]\displaystyle\frac{3}{-1}[/tex][tex]-3[/tex]Now, let's identify the y-intercept.The y-intercept is the point where the graph touches the y-axis.Since the graph touches the y-axis at (0,4) the y-intercept is equivalent to (0, 4) or 4.Hope it helps.
Do comment if you have any query.
Each model represents one whole. In which model does the shaded section represent the
product of 5/8and 3/8 ?
You would show the answer choices for this one. 5/8 x 3/8 is 15/64 or about 0.234375.
John works at Klein’s Dry Cleaning. He earns $8.45 per hour. If John worked 39 hours this week, what is his pay? *
Answer: 329.55
Step-by-step explanation: multiple 8.45 by 39 which is 329.55
8.45 * 39 = 329.55
MAX POINTS
WILL GIVE BRANLIEST PLEASE HELP
h(x)=3/x-h +k
Oh no! He seems to be missing some parts though. He was "robbed" of his
asymptotes.
Luckily, he can remember what they were:
1. This functions vertical asymptote was x=-5.
2. This functions horizontal asymptote was y = 12.
Please recreate this function with those identifying features! Please make sure it
looks like the function in the picture
Let's do
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k[/tex]
Release k for some while
If
we take h=0So
y=3/xSo vertical asymptote is at origin now
It mentioned that it's at x=-5 so we need to change x
put -5 in place of h[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}[/tex]
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x+5}[/tex]
Vertical asymptote at x=-5Now
for k=0 horizontal asymptote at originBut it's given
y is at 12Same put y=12 in place of k
[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12[/tex]
h=-5k=12Graph attached for verification
Answer:
h(x)=3/x+5 +12
Step-by-step explanation:
What is the hydronium ion concentration in a solution with a pH of 4.25?
Answer:
5.6 × 10⁻⁵ mol/L
Step-by-step explanation:
a woman 1.65. tall stood 50m away from the foot of a tower,and observe that the angle of elevation of the top of the tower to be 50⁰ what is the height of the tower
[tex]\sf\huge\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex]Let the women's height be AE and distance between the women and tower be AC.
Also let the height of tower be BC.
[tex]\rightarrow[/tex]Now, clearly it is forming a triangle.
So, in triangle ABC,
[tex]\rightarrow[/tex][tex]\sf{Tan50° \:= \: \frac{BC}{AC}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{1.19 \:= \: \frac{BC}{50}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{1.19 ×50\:= \: BC}[/tex]
[tex]\rightarrow[/tex][tex]\sf{59.5m\:= \: BC}[/tex]
[tex]\rightarrow[/tex]Hence, BC = 59.5m
So, BD(total height of the tower)[tex]\sf{ = \:BC+CD}[/tex]
[tex]\sf{= \:59.5+1.65}[/tex]
[tex]\sf{=\: 61.15m}[/tex]
Therefore, total height of the tower =[tex]\sf\purple{ 61.15m.}[/tex]
________________________________
Hope it helps you:)
Answer:
61.24 m to the nearest hundredth.
Step-by-step explanation:
tan 50 = H / 50
H = 50 tan 50
Height of the tower = H + height of the woman
= 50 tan 50 + 1.65
= 61.2377 m
Help help help help help help math math
help please!
x+2/2x-2 = 7/x+3
Answer:
im sorry I don't know I didn't do this in school
Julie has 30 pounds of chocolate that she is selling for a fundraiser. She is putting the chocolate into boxes that each hold 2/3 pound of chocolate. How many boxes can she fill?
Answer:
45 boxes.
Step-by-step explanation:
30 / 2/3
= 30 * 3/2
= 90/2= 45
Form a polynomial whose zeros and degree are given. Zeros: 2, multiplicity 1; 4, multiplicity 2; degree 3
Answer:
If the polynomial is degree 3, then it is of the form y = Ax3 + Bx2 +Cx + D
And if the zeros are -2 with multiplicity of 1, then the factor is (x+2)1 = x+2
The other zero is -4 with multiplicity of 2, so it's factor is (x+4)2 = x2 +8x+16
So in general, if we let A = 1, then the polynomial is y = (x+2)(x+4)2 which multiplies out to
(x+2)(x2+8x+16) = x3 + 8x2 + 16x + 2x2 + 16x + 32
Combining like terms gives the polynomial:
y = x3 +10x2 + 32x + 32
If A is not 1, then y = A(x3 +10x2 + 32