Answer:
U need to just do
[tex] \sqrt{3 \div 4} a {}^{2} [/tex]
Answer:
4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
The segment from a vertex to the side opposite is a perpendicular bisector.
The equilateral Δ is divided into 2 right triangles with legs 8 and 4
let height be h, then using Pythagoras' identity
h² = 4² + 8² = 16 + 64 = 80 ( take the square root of both sides )
h = [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex] ← exact value
Find the radius of a circle given that a central angle of measure pi/4 intercepts an arc of length 1.5in
Given:
Central angle = [tex]\dfrac{\pi}{4}[/tex]
Arc length = 1.5 in
To find:
The radius of the circle.
Solution:
We know that the formula for arc length is
[tex]s=r\theta[/tex]
Where r is radius and [tex]\theta [/tex] is the central angle in radian.
Substitute the given values in the above formula.
[tex]1.5=r\times \dfrac{\pi}{4}[/tex]
[tex]6=\pi r[/tex]
[tex]\dfrac{6}{\pi}=r[/tex]
[tex]\dfrac{6}{3.14}=r[/tex]
On further simplifiation, we get
[tex]r=1.910828[/tex]
[tex]r\approx 1.91[/tex]
Therefore, the radius of the circle is 1.91 in.
PLEASE HELP ASAP!!!!
Find the missing values of the variables. The diagram is not to scale. Show steps
Step-by-step explanation:
i assume this is the question you asked me to look at.
Well, angle 116° and y are supplementary angles
therefore,116°+y=180°
y=180°-116°=64°
Now to find x
x+y+125+72=360°
x+64+125+72=360
x+261=360
x=360-261=99°
The measure of x° is 99° and the measure of y° is 64°.
What is quadrilateral?
A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
From the given figure,
116°+y°=180° (Sum of adjacent angles is 180°)
y°=180°-116°
y°=64°
Sum of interior angles of quadrilateral is 360°.
Here, x°+y°+72°+125°=360°
x°+64°+72°+125°=360°
x°+261°=360°
x°=99°
Therefore, the measure of x° is 99° and the measure of y° is 64°.
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I’m bad at math is there anyone good at this if so please help
Answer:
Right triangle
Step-by-step explanation:
[tex] {5}^{2} + {(5 \sqrt{3} )}^{2} = 25 + 75 = 100 \\ \\ {10}^{2} = 100 \\ \\ \implies \: {5}^{2} + {(5 \sqrt{3} )}^{2} = {10}^{2} \\ [/tex]
So, by converse of Pythagoras theorem given side lengths form a right triangle
Answer:
Right
Step-by-step explanation:
The side lengths are 5, 5√3, and 10. This tells me this is a 30° 60° 90° triangle. In a 30° 60° 90° triangle, the relationship between the side lengths are a, a√3, and 2a. a represents the side length of the first leg of the triangle. a√3 represents the second side length, which is the first leg's side length multiplied by √3. Finally, 2a represents the hypotenuse which is two times bigger than the first leg's side length.
Kelsea and Landon are playing in a park standing 100 feet away from each other. They both see a bird flying above them. The angles of elevation from each person to the bird are shown. How high is the bird from the ground? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
use an ASA triangle with law of sine
since we know that 180 = 20 +45 + C .. solve for C = 115°
now use law of sines c/ sin(C) = b/sin(B) .. and solve for b
Sin(20)*100/sin(115) = b
b = 37.73774 ft
that's the hypotenuse of the 45 triangle
SOH CAH TOA to remember how trig functions fit
use b*Cos(45) = adj
26.6846 = adj
The bird is 26.7 ft. from the ground
Which of these expressions is equivalent to z + z+z + z?
A.4z
B.4+z4
C.4+z
D.4z4
Answer:
A. 4z
Step-by-step explanation:
The expressions is equivalent to z + z+z + z would be 4z. so option A is correct.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
Given expression
z + z+z + z
All the terms are like terms, by adding all of them
z + z+z + z
= 4z
Thus, The expressions is equivalent to z + z+z + z would be 4z. so option A is correct.
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PLEASE ANSWER ASSAP!!!!!!!!!!!!!!!! WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!
Answer:B
Step-by-step explanation:
Vertical angles are equal, so 4x - 20 = 60
What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $1,800
Number of periods (t)= 6 months
Monthly interest rate (r)= 0.144/12= 0.012
To calculate the interest to be paid and the total amount due, we need to use the following formula:
I= P*r*t
I= 1,800*6*0.012
I= $129.6
Total amount= $1,929.6
You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75. 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
$13.25
$14.68
$21.74
$25.69
Answer:
21.74
Step-by-step explanation:
Please help me with this question
Answer:
5 x 3/4 < 5
2 x 4/3 > 2
6 x 5/5 = 6
4/7 x 1/8 < 4/7
2/5 x 7/7 = 2/5
1/3 x 6/4 > 1/3
can u pls help me with this question
Answer:
c
Step-by-step explanation:
divide 1/5,280 and then multiply that by 6,600
Answer:
the answer is c
Step-by-step explanation:
multiply 6,600 by 1 and that will give you 6,600 again
after that you divide 6,600 and 5,280 that will get you 1.25
if you think I'm wrong just do it on the calculator it will give you 1.25
have a nice day!!
What is the slope of a perpendicular line through -y=-2x+8?
A) -1/2
B) -2
C) 2
D) 1/2
Answer:
c. 2
Step-by-step explanation:
-y=-2x+8
I hope this helps
Draw a quadrilateral that is similar (but not congruent) to the one given below. Measure and label all sides and angles of quadrilaterals and ′′′′. Write a similarity statement.
Answer:
draw the same shape but multiply all the sizes to be bigger or smaller
A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow? Question 1 options: A) 3 feet B) 3.75 feet C) 0.33 feet D) 5 feet
The correct answer is A) 3 feet.
A 15-foot statue casts the shadow of 20 food, then a 4-foot-long shadow will be cast by a 3-foot-tall person.
What are arithmetical operations?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
From the data in the question,
15-foot statue = 20-foot shadow
x-foot man's height = 4-foot long shadow
20x = 60
x = 60/20
x = 3 foot.
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HELPPP PLASE ITS DUE REALLY SOOOONNNNNNNNNNNN!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Write 89 tenths in standard form *
89 tenths......................
Answer:
.89
Step-by-step explanation:
Standard for is just the number version. Word for is it spelled out, eighty-nine tenths.
14. Quadrilateral ABCD is located at A(2,0), B(3,-4), and C(7,-5). What are the
coordinate of point D that makes the quadrilateral a rhombus?
PLEASE HELPPP
Answer:
A
Step-by-step explanation:
A rhombus is a quadrilateral whose four sides all have the same length. if you look at the picture I sent, A(6,-1) forms a rhombus where all of the sides are an equal length.
Julio has 4 red Hot-tires race cars, 7 blue Hot-tires race cars, and 5 green Hot-tires race cars. What is the ratio of blue race cars to red race cars?
A.4:7
B.7:4
C.7:5
D.4:5
A homeowner stays in a single location for an average of 20 years with a standard deviation of 5.7 years. What are the chances that someone lives in their home for 40 years or more?
Answer:
The Probability that someone lives in their home for 40 years or more
[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex] = 0.0002
Step-by-step explanation:
Explanation:-
Given mean of the Population = 20 years
The standard deviation of the Population = 5.7 years
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x-mean }{S.D} = \frac{40-20}{5.7} = 3.508[/tex]
The Probability that someone lives in their home for 40 years or more
[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex]
= 1 - P( Z< 3.50)
= 1 - ( 0.5 + A(3.50)
= 0.5 - 0.4998 ( from normal table )
= 0.0002
People tend to evaluate the quality of their lives relative to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted inteviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures on a life-satisfaction scale for a sample of n = 9 elderly people who completed the interview. Assume that the population average score on this scale is μ = 20. Are the data sufficient to conclude that the people in this sample are significantly more satisfied than others in the general population? Use a one-tailed test with α = .05. The life-satisfaction scores for the sample are 18, 23, 24, 44, 19, 27, 23, 26, 25.
Answer:
we reject H₀
We have enough evidence to claim that people in the sample are significantly more satisfied than others in general population at 95 % of CI
Step-by-step explanation:
Population mean μ₀ = 20
Sample data 18 23 24 44 19 27 23 26 25
Then:
Sample mean μ = 25,44
Sample standard deviation s = 7,14
Sample size n = 9
Hypoyhesis test:
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ > μ₀
Significance level α = 0,05 CI = 95 %
We must develop a t-student one-tail test ( to the right ) as follows
t(c) = ??
degree of freedom df = n - 1 df = 8 and α = 0,05
Then from t-student table t(c) = 1, 8595
To calculate t(s) = ( μ - μ₀ ) / s/√n
t(s) = ( 25,44 - 20 ) * √9 / 7,14
t(s) = 5,44*3 / 7,14
t(s) = 2,29
Comparing t(c) and t(s)
t(s) > t(c)
Then t(s) is in the rejection region we reject H₀
We have enough evidence to claim that people in the sample are significantly more satisfied than others in general population at 95 % of CI
what is the answer to 8+4
Answer: 12
Thx for the points!
12
it won't let me just write the numbers
Estimate a 10% tip on a restaurant bill of $75.28.
8 dollars
Step-by-step explanation:
without rounding it is $7.52 but you would round that to 8
Help me i don't understand this and i need a answer fast <3
Answer:
what grade r u in?
Step-by-step explanation:
Expand the single bracket
12(b +3)
Answer:
12b + 36
Step-by-step explanation:
multiply the outside of the bracket by the inside
12(b + 3)
12b + 36
does anyone know this?!
the answers are
a- 0.12
b- 0.32
c-0.20
d.0.08
Answer:
a
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
4.5 would be the answer
Step-by-step explanation:
1 hours 20 min : 2 hours ratio
1:20 i think sooo.Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .
So one day, this young girl, who was only eleven years old at the
time, started to make speeches and write blogs saying that girls should be
allowed to go to school as well.
Question: How do you think the people with political power, who were
against girls in school, might have reacted when she started doing this?
They would be outraged and make a mockery of the idea, since they belived that girls should remain at home doing chores and learn to cook instead of getting a education.
what number is 0.001 more than 437.999
Answer:
437.999 + 0.001 = 438
Step-by-step explanation:
IT 40 POINTS SO PLZ HELP ITS 5 QUESTIONS PL ANSWER THEM ALL
How can a number line help in ordering rational numbers:
How are number lines and the coordinate plane related:
Does the order of the numbers in an ordered pair matter when naming a point? Can that point be represented by more than one ordered pair?
A point is reflected across the x-axis. The new point is located at (4.75, -2.25). Write the ordered pair that represents the original point. Explain.
A point is reflected across the x-axis. The new point is (5, -3.5). What is the distance between the two points? Explain.
Answer:
1: It places them in an order sequentially relative to each other.
2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.
3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.
4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.
5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.
Step-by-step explanation: