9514 1404 393
Answer:
YZ = 8.5∠X = 70.5°∠Z = 19.5°Step-by-step explanation:
There are a couple of ways to do this. We can find YZ using the Pythagorean theorem, or we can find it using trig functions.
We know from SOH CAH TOA that ...
Cos = Adjacent/Hypotenuse
cos(X) = 3/9 = 1/3
X = arccos(1/3) ≈ 70.5°
Angle Z is the complement of this, so is ...
Z = 90° -70.5° = 19.5°
__
The length of side YZ can be found from ...
Sin = Opposite/Hypotenuse
sin(X) = YZ/XZ
YZ = XZ·sin(X) = 9·sin(70.5°) ≈ 8.485 ≈ 8.5
__
In summary, ...
YZ = 8.5; ∠X = 70.5°; ∠Z = 19.5°
C(4,4)
D(-8,0
B(6, -2)
A(-6, -6)
Answer:
I don't know how to do it the subject
Solve the following equation without using a calculator.
log3(81)=y
Answer:hmmvb
Step-by-step explanation:
please help me fast thanks
Answer:
if I am not wrong I think the anwser will be 2.3
Answer:
It's 3
Step-by-step explanation:
7 can't be divided by 3 so you leave it as a fraction
40 points help me please
Answer:
x=60
Step-by-step explanation:
(1/6)(x+6)=11
Multiply both sides by six:
(6)(1/6)(x+6)=11(6)
x+6=66
Take six from both sides:
x+6-6=66-6
x=60
What is the mode of the set of data points given below? 1 15 12 6 12 9 12 3 6 12 15 9 15 12 15
Answer:
the mode is 12
Step-by-step explanation:
Arrange the numbers in order : 1 , 3, 6, 6, 9, 9, 12, 12, 12, 12, 12, 15, 15, 15, 15
Then count how many numbers that appears the most, so the number that appears the most is 12, therefore, the mode in the data set is 12 .
find the total service area of this cone. leave your answer in terms of pi.
r=10in h=24in
Answer:
36pie inch²
Step-by-step explanation:
Answer attached
Hope it helps :)
Problem is in picture
Answer:
< ABC+<QRS=180
m<QRS=180-140=40°
Answer:
Solution given:
<ABC+<QRS=180° {supplementary]
m<QRS=180°-140°=40° is your answer
i need help on this one too sorry to ask much
Answer:
I can't really see the pic :(
Step-by-step explanation:
Answer:
8^2
Step-by-step explanation:
8*8=8^2 or 64
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Can someone help me? A: How long did it take Diane to complete her route on Thursday if, on average, it took her 46 minutes?
Answer: B.) 43
I just did it on usatestprep and I got 43
Step-by-step explanation:
The solution is Option B.
The time it took for Diane to complete her route on Thursday is given by the equation T = 43 minutes
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of the data be represented as M = 46 minutes
The time it took for Diane to complete her route on Thursday be T
Now , the total time for all the 7 days be represented as S
And , the value of S is
S = 58 + 39 + 42 + 46 + T + 49 + 45
S = 279 + T
Substituting the values in the equation , we get
Mean = Sum of Values / Number of Values
46 = ( 279 + T ) / 7
Multiply by 7 on both sides of the equation , we get
322 = 279 + T
Subtracting 279 on both sides of the equation , we get
T = 322 - 279
T = 43 minutes
Hence , the value of T is 43 minutes
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a solid metal ball with a radius of 10 inches is melted and made into smaller spherical metal balls with a radius of 2 inches each. how many smaller spherical balls can be made?
Answer:
5 i think
Step-by-step explanation:
You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?
Answer:
I think you are asking the total distance isn't? The straight line distance from your starting point 14 miles.I've added both miles to get the total distance
Step-by-step explanation:
please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.
What fraction is less than 3/4?
Answer:1/2
Step-by-step explanation:3/4 equals 75% but 1/2 equals 50%
Solve for X if D = -9
3 + 6x · 5d = ?
Answer:
3-270x
Step-by-step explanation:
A chemist mixed two samples together: a gray liquid that boils at 103°C and a colorless gas that boils at 19°C. She analyzed the results and found two ending substances. One of the ending substances was a pink liquid. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?
Answer:
Its C
Step-by-step explanation:
Diagram c to the left shows the repeating groups of atoms that make up the samples the chemist mixed together.
What is atoms?Atoms are the smallest unit of matter that make up all physical objects. Atoms are composed of three main components: protons, neutrons, and electrons. Protons and neutrons are found in the nucleus of the atom and have a positive charge, while electrons orbit the nucleus and have a negative charge.
here, we have,
we know that,
Atoms can join together to form molecules, which are the building blocks of all matter. Atoms of different elements can join together in different ways to form compounds and these compounds are the basis of all substances. Atoms are also the basis of all chemical reactions and can exist in different physical states, such as solid, liquid, or gas. Atoms can also be combined to form isotopes, which are atoms of the same element with different numbers of neutrons.
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complete question:
11. A chemist mixed two samples together: a brown solid that melts at about 1,300°C and a colorless liquid that melts at about 20°C. She analyzed the results and found two ending substances. One of the ending substances melts at about 250°C. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?
How to show work on this one topic is angles formed by 2 chords and secants
Answer:
Step-by-step explanation:
Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cm
Required:
1. What is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1? a. 14.6 ± 7.00 b. 14.6 ± 7.38 c. 14.6 ± 7.80 d. 14.6 ± 9.62
2. Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses H0: μ2 – μ1 = 0, Ha: μ2 – μ1 ≠0. What is the value of the two-sample t statistic?
a. 14.6
b. 3.43
c. 2.54
d. 7.80
3. What can we say about the value of the P-value?
a. P-value < 0.01
b. 0.01 < P-value < 0.05
c. 0.05 < P-value < 0.10
d. P-value > 0.10
4. If you use the 0.05 level of significance, what conclusion would you reach?
a. The evidence is not sufficiently strong to reject the null hypothesis.
b. There is sufficient evidence to reject the null hypothesis.
c. Cannot be determined by the information given.
Answer:
1. b. 14.6 ± 7.38
2. b. 3.43
3. b. 0.01 < P-value < 0.05
4. b. There is sufficient evidence to reject the null hypothesis.
Step-by-step explanation:
The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.
simplify - root (9+y)^2 if y <-10
Answer:
− √ ( 9 + y ) 2 > 1
Explanation:
− √ ( 9 + y ) 2 , where y < − 10
Simplify the expression,
− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y
When y < − 10 , − y > 10
Subtract 9 from both sides,
− 9 − y > 1 Hence,
− √ ( 9 + y ) 2 > 1
The value of the expression -√(9 + y)² is -9 which is more than -10. So, it is incorrect.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ -√(9 + y)²
Simplify the expression, then we have
-√(9 + y)² = 0
(9 + y) = 0
9 + y = 0
y = - 9
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VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
I would believe 90* clockwise.
Step-by-step explanation:
It rotated 90* to be located on its side.
Solve this question for brainlest
plsssssssssssssssss help
Answer:
x = 7
Step-by-step explanation:
Find the point on the graph that has the y-value of 8. Determine its x-value.
Find the common difference of the arithmetic sequence -7, -1, 5, ...
Answer:
d = -6
Step-by-step explanation:
common difference, d = -7-(-1) = -6
twice the difference of v and z
Answer:
me
Step-by-step explanation:
becaus im the bes guy
The arch support of a bridge can be modeled by y=−0.0012x2, where x and y are measured in feet. Find the height and width of the arch.
Answer:
it will be 300 feet tall and 1000 feet wide
Step-by-step explanation:
The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ba^x+c[/tex]
Here, a,b and c are the real numbers.
The arch support of a bridge can be modeled by the following function,
[tex]y=-0.0012x^2+300[/tex]
Here, x and y are measured in feet.
The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,
[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]
As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,
[tex]w=500-(-500)\\w=1000\rm ft[/tex]
Now similarly at x equal to zero, the function will be,
[tex]y=300[/tex]
Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
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"Jonas prepared himself to walk to the stage when the applause ended and the Chief Elder picked up the next folder and looked down to the group to call forward the next new Twelve. He was calm now that his turn had come. He took a deep breath and smoothed his hair with his hand." - The Giver *
1st person
2nd person
3rd person objective
3rd person limited
3rd person omniscient
Answer:
3rd limited
Step-by-step explanation:
I need help with this question please
9514 1404 393
Answer:
y = -x -2
Step-by-step explanation:
The line crosses the y-axis at y = -2, so that is the y-intercept.
The slope is the ratio of "rise" to "run." The points on the graph show a "rise" of -3 for a "run" of 3.
m = rise/run = -3/3 = -1
Then the slope-intercept equation is ...
y = mx +b . . . . . slope m, y-intercept b
y = -x -2 . . . . . . . using m=-1, b=-2
guys help asap plsss!
Given:
The triangle ABC rotated 270 degrees clockwise.
The rule of rotation is
[tex](x,y)\to (-y,x)[/tex]
To find:
The coordinates of point B after the given rotation.
Solution:
From the given graph, it is clear that the coordinates of point B are (4,4).
The given rule of rotation is:
[tex](x,y)\to (-y,x)[/tex]
Using this rule, we get
[tex]B(4,4)\to B'(-4,4)[/tex]
The coordinates of point B after the given rotation are (-4,4).
Therefore, the correct option is C.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.
Answer:
Step-by-step explanation:
3/13
The probability of being dealt a picture card is 3/13
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the total number of cards in the deck be = 52 cards
Let the number of picture cards be = A
Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings
So , total number of picture cards = 4 + 4 + 4
= 12 picture cards
And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck
The probability of drawing a picture cards is P = 12 / 52
= 3 / 13
Therefore , the value of P is 3/13
Hence , The probability of being dealt a picture card is 3/13
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Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.
sin(2sec^-1 u/10)
Answer:
[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]
Step-by-step explanation:
We want to write the trignometric expression:
[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0[/tex]
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
[tex]\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)[/tex]
Take the secant of both sides:
[tex]\displaystyle \sec(\theta)=\frac{u}{10}[/tex]
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
[tex]\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}[/tex]
By substitutition:
[tex]\displaystyle= \sin(2\theta)[/tex]
Using an double-angle identity:
[tex]=2\sin(\theta)\cos(\theta)[/tex]
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
[tex]\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)[/tex]
Simplify. Therefore:
[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]
please help i am stuck and trying not to fail lol. also if you can show work pls
Given:
The figure of rectangle.
To find:
a. The diagonal of the rectangle.
b. The area of the rectangle.
c. perimeter of the rectangle.
Solution:
(a)
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 30=\dfrac{12}{Hypotenuse}[/tex]
[tex]\dfrac{1}{2}=\dfrac{12}{Hypotenuse}[/tex]
[tex]Hypotenuse=12\times 2[/tex]
[tex]Hypotenuse=24[/tex]
So, the diagonal of the of the rectangle is 24 units.
(b)
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan 30=\dfrac{12}{Base}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}[/tex]
[tex]Base=12\sqrt{3}[/tex]
Length of the rectangle is 12 and width of the rectangle is [tex]12\sqrt{3}[/tex]. So, the area of the rectangle is:
[tex]Area=length \times width[/tex]
[tex]Area=12 \times 12\sqrt{3}[/tex]
[tex]Area=144\sqrt{3}[/tex]
So, the area of the rectangle is [tex]144\sqrt{3}[/tex] sq. units.
(c)
Perimeter of the rectangle is:
[tex]P=2(length+width)[/tex]
[tex]P=2(12+12\sqrt{3})[/tex]
[tex]P=24+24\sqrt{3}[/tex]
[tex]P\approx 65.57[/tex]
Therefore, the perimeter of the rectangle is about 65.57 units.