Answer:
1. You can solve this problem by applying the Tangent Secant Theorem. Then, you have:
YX²=(YZ)(YV)
YX=√(YZ)(YV)
YZ=9+19
YV=9
2. When you substitute the values of YZ and YV into YX=√(YZ)(YV), you obtain:
YX=√(YZ)(YV)
YX=√(9+19)(9)
YX=√(28)(9)
YX=√252
YX=15.87
What is the length of YX?
The answer is: The lenght of YX is 15.87
CAN SOMEONE PLASE HELP ME WITH THIS PROBLEM
Answer:
Step-by-step explanation:
What is the ratio of lines b : c if A is 77°
Answer:
3rd option
Step-by-step explanation:
the ratio of b : c is the cos77° , that is
cos77° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] ≈ 0.224951054.
-5(y+.2)=25 what is y? PLEASE SOLVE ASAP
-5(y+2)=25
y+2=25 ÷(-5)
y+2= -5
y= -5-2
y=7
Dylan's cow produces 21 1/3 liters of milk per day.The milk is put into bottles with a volume of 2 1/3 liters.How many bottles does Dylan need each week to bottle all the milk?
The amount of bottles that Dylan needs each week to bottle all the milk is; 64 bottles
How to work with Algebra?
We are given;
Amount of Milk produced by Dylan's cow per day = 21 ¹/₃ liters
Thus, amount of liters of milk produced in a week = 21 ¹/₃ liters * 7 = 448/3 liters.
Then, number of bottles required in a week = 448/3 ÷ 2¹/₃ = 448/7
Number of bottles required in a week = 64 bottles
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The school library is (3x - 4) metres long and (2x - 3) metres wide. Find the floor area of the library in:
a) terms of x
b) square metres if x = 4
Answer:
40 meters
Step-by-step explanation:
x=4
3x-4=12-4
2x-3=8-3
12-4=8
8-3=5
8x5=40
A city Science High School uses standardized IQ test to screen students for admission. It is known that the population standard deviation of these IQ scores is 15. The school principal claimed that the average IQ of the students in their school is 110. Miss Cruz, a researcher, wants to validate the claim. She selected a random sample of 50 students and administered the IQ test. She found that the mean IQ of the sample is 105. Perform a test of hypothesis at 0.05 level of significance.
Using the z-distribution, it is found that we reject the null hypothesis, which means that her claim is not validated.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 110, that is:
[tex]H_0: \mu = 110[/tex].
At the alternative hypotheses, it is tested if the mean is less than 110, that is:
[tex]H_1: \mu < 110[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, we have that the parameters are given as follows:
[tex]\overline{x} = 105, \mu = 110, \sigma = 15, n = 50[/tex]
Hence the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{105 - 110}{\frac{15}{\sqrt{50}}}[/tex]
z = -2.36.
What is the decision?Using a z-distribution calculator, z = -2.36 has a p-value that is less than the standard significance level of 0.05, hence we reject the null hypothesis, which means that her claim is not validated.
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At the circus, an acrobat is standing on a platform that is 27 feet from the ground when he sees a peanut on the ground below. How far is the peanut away from the base of the platform if the angle of elevation from the peanut to top of the acrobat's platform is 25°?
Answer:
The peanut is 12.59 feet away from the base of the platform.
Step-by-step explanation:
When solving these equations, we can first start out by noticing that this requires a trigonometry function.
There are three types : cos, sin, and tan. (cosine, sin, and tangent)
Cos is for finding and dealing with the adjacent and the hypotenuse.
Sin is for finding and dealing with the opposite and the hypotenuse.
Tan is for finding and dealing with the opposite and the adjacent.
The opposite is the bottom base, to the peanut.
The adjacent is the height from the bottom base, to the top.
The hypotenuse is the top, to the peanut.
27 feet would be the adjacent.
Since we don't know bottom base to the peanut, we would call this x. (opposite)
*Side note* : The degrees is always in between the adjacent and hypotenuse.
For this, we need the length between the peanut and the bottom base. This would be the adjacent and the opposite. Meaning we're using tangent. The equation for tangent is :
tan (degrees) = opposite/adjacent
So, now we simply put in the data.
tan 25 = x/27
We can now, first get x alone by multipling both sides by 27.
27 * tan 25 = x
Plug this into a scientific calculator :
27 * tan 25
We the answer to be 12.59
The peanut is 12.59 feet away from the base of the platform
How do you solve pythagorean theorem??
Full Explanation
Will Mark Brainlist
Pythagoras theorem is a formula that helps us determine the missing side of a triangle, with the measure of two sides, given.
The Pythagoras theorem formula is expressed as:
[tex](\small\text{Hypotenuse})^{2} = (\small\text{side}_{1} )^{2} + (\small\text{side}_{2} )^{2}[/tex]
Now, let us take an example to understand the concept better.
Example:A triangle with longest side given as 15 centimeters. The base of the triangle has a length of 9 centimeters. What is the measure of the height?
Solution:We are given the following:
Longest side (hypotenuse of the triangle) = 15 cm Base of the triangle (Not the longest side) = 9 cmWhen we plug the hypotenuse and the base, in the formula, we get;
⇒ 15² = 9² + (side₂)²Subtract 9² on both sides of the equation to isolate (side₂)².
⇒ 15² = 9² + (side₂)²⇒ 15² - 9² = 9² + (side₂)² - 9²We can use the rule [a² - b² = (a - b)(a + b)] to simplify the L.H.S
⇒ (15 - 9)(15 + 9) = (side₂)²⇒ (6)(24) = (side₂)²⇒ 144 = (side₂)²Now, take square root on both sides of the equation to determine the measure of the missing side (height of triangle).
⇒ √144 = √(side₂)²⇒ 12 = side₂Therefore, the measure of the height is 12 centimeters.
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if jane has 3 pars and take 3 pars how many pars would she had left
Answer:
0 pars
Step-by-step explanation:
3-3=0
...........Which graph shows the function W, X, Y, Z
Answer:
the correct graph is attached
Step-by-step explanation:
x ≥ 1 means there is a closed dot at 1
and -x + 8 means there should be an y intercept at 8 with negative slope
so it could've only been the right side graphs than the first function is positive so the top right cant be right meaning the bottom right is the correct graph
Ten runners join a race. in how many possible ways can they be arranged as first,second,and third places
Answer:
in 720 Possibles ways Ten runners can be arranged as first, second, and third placers
NEED ASAP PLS HELP ILL MARK BRAINLIEST IF CORRECT
(06.02 MC)
A line is drawn on a scatter plot, as shown below:
Which statement best describes the line?
(A) It can be the line of best fit because it shows a positive linear association between x and y.
(B) It can be the line of best fit because it closely fits the data points.
(C) It cannot be the line of best fit because it does not pass through all the data points.
(D) It cannot be the line of best fit because it shows a negative linear association.
Answer:
B
Step-by-step explanation:
If Dwight Johnson has 7 courses to choose from, how many ways can he arrange his schedule if he must pick 4 of them?
Answer:
35 ways
Step-by-step explanation:
[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]
Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.
see attached question please please help!!
Based on the size of the pool that Mr. DelGrande wants to build, the ratio of the Olympic pool to the smaller pool is 2.5:1 and the area of an Olympic pool is 1,250 m².
What is the ratio of the length of an Olympic pool to Mr. DelGrande's pool?The ratio of the pools is:
Olympic pool length : Mr. DelGrande pool
50 : 20
Simplest terms give:
50 / 20 : 20 / 20
2.5 : 1
What is the area of a regulation Olympic Pool?Given the area of Mr. DelGrande's pool, the area of an Olympic pool is:
= Ratio ² x Area of Mr. DelGrande pool
= 2.5² x 200
= 1,250 m²
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Which equation represents the parabola shown on the graph?
O y2 = -2x
O y² = -8x
O x² = -2y
O x² = -8y
The equation that represents the horizontal parabola given on the graph is:
y² = -8x
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
x = a(y - k)² + h
In which a = 1/p is the leading coefficient.
In this problem, the vertex is (0,0), hence h = k = 0, and:
ay² = x.
The directrix is at x = 2, and the parabola opens left, hence:
p = -4(2 - 0) = -8.
Hence the equation is:
y² = px = -8x.
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Can anyone help me with this quick question please, ASAP, Thank You!
Answer:
15.7 lbs (please mark brainliest)
Step-by-step explanation:
2.6+x+x=34
2x=31.4
x=15.7
Answer: 14.4
Step-by-step explanation: I took 34 and divided it by 2 then subtracted 2.6 from 17 which gave me 14.4. If it's wrong, sorry.
Please help me i need help few
Help me please help me
the answer to that is -120
Step-by-step explanation:
-120+74=-46
Answer:
k = -120
Step-by-step explanation:
k + 74 = -46
Subtract 74 from both sides:
k + 74 = -46
- 74 - 74
k = -120
Final answer: k = -120
Hope this helps!
what are 3 consecutive multiples of 3 if 2/3 of the sum of the first 2 numbers is 1 greater than the third number?
Mr castle shares out 32 marbles between emily and zak in the ratio of 3:1. how much marbles does each child get?
Answer:
Emily=24 marbles Zak=8 marbles
Step-by-step explanation:
sum of ratio= 3+1=4
Emily: Zak= 3:1
no. of marbles for Emily= [tex]\frac{no. of ratio}{sum of ratio}[/tex]×total no. of marbles
= [tex]\frac{3}{4}[/tex]×32
=24 marbles
No. of marbles for Zak= [tex]\frac{1}{4}[/tex]×32
=8 marbles
A hyperbola has its foci at (1, 7) and (1, –13). a directrix of the hyperbola is y = . what is the equation of the hyperbola?
The equation of the hyperbola is [tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]
How to determine the hyperbola equation?The foci are given as:
(1, 7) and (1, -13)
The foci of a hyperbola are represented using: (m, n+p) and (m, n-p)
Where the center of the hyperbola is (n,p)
By comparison, we have:
m = 1
n + p = 7
n - p =13
Where n = ae
The solution to the above system of equations is
m = 1, n = 10 and p = -3
The directrix is given as:
y = 64/10
The directrix is represented as:
y = a/e
So, we have:
a/e = 64/10
Substitute n = ae in n = 10
ae = 10
Solving ae = 10 and a/e = 64/10, we have:
a = 8 and e = 10/8
To calculate b, we make use of:
[tex]b = a\sqrt{(e^2 - 1)[/tex]
So, we have:
[tex]b = 8\sqrt{(\frac{10}{8}^2 - 1)[/tex]
Evaluate
b = 8 * 0.75
b = 6
The equation of the hyperbola is then calculated using:
[tex]\frac{(y - p)^2}{a^2} -\frac{(x - m)^2}{b^2} = 1[/tex]
This gives
[tex]\frac{(y + 3)^2}{8^2} -\frac{(x - 1)^2}{6^2} = 1[/tex]
Evaluate
[tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]
Hence, the equation of the hyperbola is [tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]
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Solve the following system of equations by linear combination: 5x + 2y = 14 y = x – 7 (4, –3) (2, –5) (–5, 2) (–3, 4)
The solution to the system of equations is (-3,4)
How to solve the system of equations?The equations are given as:
5x + 2y = 14
y = x – 7
Substitute y = x – 7 in the first equation
5x + 2(x - 7) = 14
Expand
5x + 2x - 14 = 14
Evaluate the like terms
7x = 28
Divide
x = 4
Substitute x = 4 in y = x – 7
y = 4 – 7
Evaluate
y = -3
Hence, the solution to the system of equations is (-3,4)
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Laura wants 3 scoops of ice cream. She can choose from vanilla, chocolate, mint, raspberry,
blueberry, and coee avors. How many combinations of 3 scoops of ice cream can Laura choose
from? Show your work and explain whether or not this is a scenario in which repetition is allowed.
The number of the combinations of 3 scoops of ice cream can Laura choose will be 20.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Laura wants 3 scoops of ice cream.
She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors.
Then the number of the combinations of 3 scoops of ice cream can Laura choose will be given as
→ ⁿCₐ
The total number of the flavor will be
n = 6
Then the number of the chosen flavor will be
a = 3
Then we have
→ ⁶C₃
→ 20
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pls help odd numbers only
Answer:
The question asks, "find the slope".
9) -4/15
10) -1/14
11) -3/4
12) -1/4
13) 11/17
14) -18/13
15) 0
16) -30
17) -5
19) -1/5
21) 1/4
23) -1
25) -2/3
What is the answer????????
Answer:
[tex] \sqrt{ - 100} = 10i = 0 + 10i[/tex]
Help me with 2 please and thank you
Answer:
See below
Step-by-step explanation:
The terms that can be used to best describe the relationship between 60 degree angle and the angle labelled y degree is:
Vertically opposite angles.Equal angles.Angles equating to 60 degree.Since vertically opposite angles are equal, y° = 60°.
[tex]\rule[225]{225}{2}[/tex]
Answer:
Vertical angles
Step-by-step explanation:
The 60° angle and the angle marked y° are vertical angles. Vertical angles are equal. They are formed by two lines crossing (intersecting lines) I like to think of them like a pair of scissors, opening and closing! The angles get bigger or smaller together. The angle marked x° and the unmarked angle are another pair of vertical angles.
function f is shown below
f(-3)
f(4)
find x when f(x) = 5
find x when f(x)= -3
Answer:
See below ~
Step-by-step explanation:
Based on the graph,
f(-3)f(-3) = 02. f(4)
f(4) = -33. x when f(x) = 5
f(x) = 5x = 04. x when f(x) = -3
f(x) = -3x = ±4Write the repeating decimal as a fraction.
1.4979
Answer:
1 4979/9999
Step-by-step explanation:
1.497949794979....
= 1 4979/9999
If you divide a number by 8, the answer is
20. What is the number?
Answer:
160
Step-by-step explanation:
160 divided 8 =20
Answer:
The answer is 160
Step-by-step explanation:
Let the unknown number be x.
x/8=20
x and 8 are linked by a division so if 8 crossed the equality sign it becomes multiplication. So we'll have
x=20*8
x=160
Therefore x is equal to 160.
LET'S CHECK IF IT'S CORRECT
160/8=20
A heard of elk increased from 75 in 1998 to 310 in 2005. Find the annual percent of increase for this heard.
Answer:
[tex]313.3333\%[/tex]
Step-by-step explanation:
Based on given conditions, formulate:
[tex] \frac{310 - 75}{75} [/tex]
Calculate the sum:
[tex] \frac{253}{75} [/tex]
Simplify it:
[tex] \frac{47}{15} [/tex]
Convert that to a decimal:
[tex]3.133333[/tex]
Multiply that:
[tex]3.133333 \times \frac{100}{100} [/tex]
Calculate that:
[tex] \frac{3.133333 \times 100}{100} [/tex]
Convert that:
[tex]313.3333\%[/tex]
