Find the length of ST. Round your answer to the nearest tenth of an inch.
Answer:
7.1
Step-by-step explanation:
Once again we can use trig ratios to solve for ST
First we must recall the trig function
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
We are given the measure of an angle and the length of the hypotenuse
Of the given angle we need to find the adjacent side length
When working with the hypotenuse and adjacent we use trig function cosine
That being said we want to create an equation ( remember cos = adjacent over hypotenuse ) ( let ST = x)
[tex]cos(42)=\frac{x}{9.5}[/tex]
now we solve for x
Step 1 multiply each side by 9.5
[tex]cos(42)*9.5=9.5cos(42)=7.059875842\\\frac{x}{9.5} *9.5=x[/tex]
we're left with x = 7.059875842
Finally we round to the nearest tenth and get that the answer is 7.1
Which of the following best describes the equation below?
y = 3/5x+15
A. linear
B. both linear and nonlinear
C. neither linear nor nonlinear
D. nonlinear
Nonlinear
hope this helps..lemme know if im wrong <3
The diagram shows a triangle.
What is the value of z?
Answer:
z=31°
Step-by-step explanation:
32°+117°+z=180°{ sum of angle of triangle}
z=180-149
z=31°
stay safe healthy and happy.Answer:
31 degrees = x
Step-by-step explanation:
a triangle's sum is 180 degrees
let's form an equation that allows us to work backwards and find this
add the other two angle measures to x and let the sum be 180
32+117+x=180
31 is the difference and therefore the missing angle measure
one isotope of chromium has a half life of 18 hours. How long does it take 100 grams to decay to 20 grams?
Answer:
41.79 hours
Step-by-step explanation:
The Half-time Decay Formula: [tex]N=N_0(\frac{1}{2})^\frac{t}{d}[/tex]
Where [tex]N_0[/tex] is the original number, and t = time, and d = time it takes to half
18 would be d
100 would be [tex]N_0[/tex]
and 20 would be N
[tex]20=100(\frac{1}{2})^\frac{t}{18}[/tex]
[tex]0.2=(\frac{1}{2})^\frac{t}{18}[/tex]
[tex]log_\frac{1}{2}0.2=\frac{t}{18}[/tex]
[tex]18* log_\frac{1}{2}0.2=t[/tex]
[tex]18* \frac{log_{10}0.2}{log_{10}\frac{1}{2}}=t[/tex]
= 41.79470571
Whitney had 84 fish in her fish tank. She gave 14 fish to her friend Max. Then, she moved 29 fish to another tank How many fish are still in the first fish tank
Answer:
41
Step-by-step explanation:
Started with 84
less 14
less. 29
=. 41
Definition: This is a polygon with three sides.
Example: Obtuse, right, acute, scalene, isosceles, equilateral, and equiangular are classifications of this
Write the equation of a line with a slope of 2/3 going through the point (-15, -22)
Answer:
y=(2/3)(x+15)-22
Step-by-step explanation:
You use the slope point equation which is y-y1=m(x-x1) or y=m(x-x1)+y1 where m is the slope and x1 and y1 are the coordinates you plug in.
Therefore, 2/3 is the slope m and (-15, -22) are the coordinates for x1 and y1.
y=(2/3)(x-(-15)) + (-22)
y=(2/3)(x+15)-22
Malaya is standing directly between a 90-foot tall courthouse and a 54-foot tall bank. If the angle of elevation from the point where Malaya is standing to the top of the courthouse is 72°, while the angle of elevation to the top of the bank is 35°. What is the distance between the courthouse and the bank?
Answer:
Step-by-step explanation:
Draw a picture.
c and b are Malaya’s distance from the courthouse and bank, respectively.
tan(72°) = c/90
c = 90tan(72°)
tan(35°) = b/54
b = 54tan(35°)
Distance between courthouse and bank = c+b
= 90tan(72°) + 54tan(35°)
= 301.5 ft
help me pls its alzebra
Answer:
1y66x6y1x64yx8a6b6Step-by-step explanation:
please make me Brianlist please
Simplify 4 to the -2 power. A.) -8 B.) 1/16 C.) 1/8
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
1/16
Step-by-step explanation:
hope u understand ☺️☺️
2. ¿Cuál es el valor de X en la siguiente ecuación?
X – 56 = 135
A. 79
B. 191
C. 270
D. N/A
20 points pls answer!
Answer:
a)0.879
Step-by-step explanation:
divide 87.9 by 100
I'm not sure what this means, I need major help
Answer:
A.
240cm
320cm
400cm
The lengths are 240, 320, and 400cm.
B.
The Angle measurements are the same
37, 53, and 90 degrees.
Step-by-step explanation:
Hope this helps
Please help! I will give brainliest!
Answer:
exponential dacay
hope it is helpful.. correct ans..
1. Are the two expressions below
equivalent
25x + 20y = 5x(5+4y)
Answer:
No.
Step-by-step explanation:
25x + 20y = 5x(5 + 4y)
Distribute the 5x inside the (5 + 4y).
5x * 5 = 25x
5x * 4y = 20xy
25x + 20y ≠ 25 + 20xy, so the two expressions below are not equal.
please help me ill give you the crown thing if its right
Answer: tbh i think its the third one
Step-by-step explanation:
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
Buyers are skeptical of a motorcycle advertisement that claims the newest model gets an average of 52 miles per gallon. They believe the dealer is overstating the average. Which null and alternative hypotheses should the buyers test? Let u represent the true average gas mileage.
Answer:
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Step-by-step explanation:
We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.
This means the alternative hypothesis will have an average less than 52. Thus;
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
5x+7y=3914. I'm not quite sure how to write the x and y! First answer will get Brainliest, thanks!
Answer:
hanges made to your input should not affect the solution:
(1): Dot was discarded near "4.".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x+7*y-(3914)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 5x+7y-3914 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5x+7y-3914 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286
y-intercept = 3914/7 = 559.14286
Calculate the X-Intercept :
When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000
x-intercept = 3914/5 = 782.80000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.429/2.000 = -0.714
Geometric figure: Straight Line
Slope = -1.429/2.000 = -0.714
x-intercept = 3914/5 = 782.80000
y-intercept = 3914/7 = 559.14286
Step-by-step explanation:
Answer:
y= -5/7x+3914/7
Step-by-step explanation:
Slope form is y=mx+b
5x+7y=3914
7y = -5x+3914 minus the 5x from each side
7y=-5x+3914 divide 7 from each side --> y= -5/7x+3914/7
So, 5x+7y=3914 is in ax+by=c (standard form) the "a" in "ax" can't be negative either.
ANSWER ASAP I WILL MAKE BRAINLYIST
solve 1x+2y=4, -1x-4y=-14 using elimination
NO LINKS (i need the steps not just the answer)
X+2y=4
+-x-4y=-14
——————
-2y=-10, y=5, x=4-10=-6
Answer:
x = -6
y = 5
Step-by-step explanation:
Add the equations
1x + 2y = 4
-1x - 4y = -14
————————
-2y = -10
Divide both sides by -2
y = 5
Substitute for y = 5 into either equation
using 1x + 2y = 4
1x + 2(5) = 4
1x + 10 = 4
Subtract 10 from both sides
1x = -6
x = -6
Solution
x = -6
y = 5
Brainliest for correct answer!!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!
If a proton is rotating around a collider with a circumference of 27,000 meters at a speed of 300,000,000 meters per second, how long does it take for the proton to make one complete rotation?
When Austen's parents are away celebrating their anniversary, he gets to sleepover for a week at his
grandparents' house. Afterwards, Austen decides to make his grandparents a photo album of their time
together. There are 7 pages in the album. Austen puts the same number of photos on each page, for a
total of 42 photos.
Which equation can you use to find the number of photos p on each page?
P = 42
7p = 42
P + 7 = 42
D-7=42
7
Solve this equation for p to find the number of photos on each page.
photos
Submit
Answer:
The answer is 6 becase 6 12 18 24 20 36 42 that is 7 so the answer is 6 and it is b
Step-by-step explanation:
brainliest pls
Suppose that resting pulse rates among healthy adults are normally distributed with a mean of 71 beats per minute and a standard deviation of 25 beats per
minute.
Use this table or the ALEKS calculator to find the percentage of healthy adults who have resting pulse rates that are less than 83 beats per minute. For your
Intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.2396).
Answer:
Where’s the table?
Step-by-step explanation:
The sum of 85 + w is less than or equal to 6 multiplied by y.
A. 85 + w ≤ 6y
B. 85 + w ≥ 6y
C. 6 x y ≤ 85 + w
D. 85 + w ≠ 6y
Given:
The sum of 85 + w is less than or equal to 6 multiplied by y.
To find:
The inequality for the given situation.
Solution:
We know that,
The sum of 85 and w means "85+w".
Less than or equal means "≤".
6 multiplied by y means "6y".
So, the inequality for the statement "the sum of 85 + w is less than or equal to 6 multiplied by y", is:
[tex]85+w\leq 6y[/tex]
Therefore, the correct option is A.
You are making bags of trail mix for a field trip. You have 12 ounces of peanut and 36 ounces of cashews. You need to have the same amount of nut in each bag. What is the greatest number of bags that you can make that will have the same number of ounces of nuts in each bag.
Answer:
12 bags
Step-by-step explanation:
5 x 1/5 is equal to
А. 1
В. 178
с. -1/8
D. -1
Answer:
1
Step-by-step explanation:
5 x 1/5 =
5/1 x 1/5 = 5/5 = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Can I please have help. I need these answers.
Answer:
1st: not
2nd: not
3rd: slope-intercept
4th: slope-intercept
Answer:
Read Below
Step-by-step explanation:
1) Slope Intercept
2) Slope Intercept
3) Not Slope Intercept
4) Not Slope Intercept
What is the difference between 4.091 and 2.174?
A
6.265
B
2.123
с
2.117
D
1.917
Answer:
D
Step-by-step explanation:
4.091-2.174= 1.917
Andre received and spent money in the following ways last month. For each example, write a positive or negative number to represent the change in money from his perspective.
His uncle gave him $25 as a present.
He earned $18 dollars tutoring.
He spent $10 on a book.
Answer:
+25;+18;-10
Step-by-step explanation:
Ok so let's break down the scenario step by step:
His uncle gave him $25 so that means it's positive so +25 Now he earned $18 so that means it is also positive so +18And now he spent $10 which means it is negative so - 10(And of you want to find out the amount left with him,
(25+18)-10
=43-10
=$33)
Hope this helps :)
final due today hurry please! Question Category: Comparing Functions
Select the correct answer.
The given table shows the number of customers, c(x), in a diner when the diner has been open for x minutes.
x 30 45 60 75 90 105
c(x) 40 48 50 48 40 30
Which statement is supported by the table?
The number of customers in the diner is increasing on the interval (30,60).
The maximum number of customers in the diner is 60.
The number of customers in the diner is increasing on the interval (75,105).
The maximum number of customers in the diner is 105.
Answer: first answer
step-by-step explanation:
i got it right