9514 1404 393
Answer:
20.0 square units
Step-by-step explanation:
There are many ways the area can be computed here. Perhaps the intended one is to find the length of the third side, then use the usual triangle area formula.
b = √(c² -a²) = √(9² -7²) = √32 ≈ 5.7
Then the area is ...
A = 1/2bh = 1/2(5.7)(7) ≈ 20.0
The area is approximately 20.0 square units.
_____
Additional comment
It is highly unusual to make use of rounded intermediate results. That is a guarantee that the final answer will have more error than necessary. Ordinarily, you would never do that.
An alternate solution might be ...
angle = arccos(7/9) ≈ 38.9°
area = 1/2(7)(9)sin(38.9°) ≈ 19.8 . . . . square units (assuming the sine value is not rounded to 0.6)
What is the solution
Answer:
x = -72
Step-by-step explanation:
-72 + 8 = -64
The third square root of -64 is -4
. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. population mean math score parents college grads. population mean math score parents high school grads. _____ _____ b. What is the point estimate of the difference between the means for the two populations
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point a:
Following are the null and alternative hypotheses:
[tex]H_0 : \mu_1 \leq \mu_2\\\\H_1 : \mu_1 > \mu_2[/tex]
For point b:
By using the Excel we obtained the output of the 2 sample t-test that is defined in the attached file.
These point estimately are the difference among the mean for the two populations:
[tex]\to \mu_{\bar{x_1}-\bar{x_2}} = \mu_{\bar{x_1}}-\mu{\bar{x_2}} ={\bar{x_1}-\bar{x_2}}=573-491=82[/tex]
How to solve ,step by step
Answer:
gradient = slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]
Slope intercept Form equation : y = mx + b
m = slope or gradient
b = y - intercept ( where the line crosses the y = axis)
x and y = are place holders for a coordinate pair that makes the equation true
c) y = -6x + 8
The -6 is the m. It's the slope or gradient.
the + 8 is the b. It's the y- intercept.
d) y = 4
This is a horizontal line. It intercepts the y-axis at 4.
That means the 4 is the y-intercept.
There is no x. That means the slope is 0. The line rises 0 as it runs left to right.
e) y -4x= 0
equation needs to be is standard form y = mx + b.
add 4x to both sides in order to isolate the y variable.
y = 4x + 0.
The slope or gradient is 4. The y - intercept is 0. The line crosses through the origin.
f) y -x = -8
Add x to both sides.
y = x - 8
There is one x. That means the gradient is 1. The y-intercept is the -8
g) y + 3x = 7
Subtract 3x from both sides.
y = -3x + 7
-3 = gradient. 7 = y-intercept.
h) y + [tex]\frac{1}{2}[/tex]x = -4
Subtract [tex]\frac{1}{2}[/tex]x from each side.
y = -[tex]\frac{1}{2}[/tex]x - 4
One last thing. If you are presented with an equation without a y, the gradient is 'undefined'.
example : x = 4
This a vertical line passing through 4 on the x-axis. There is no 'b' because its not crossing the y-axis.
Why is it 'undefined' ?
As the line rises it, it does not 'run' left or right. [tex]\frac{rise}{0}[/tex] . Zero can never, ever be in the denominator. Denominators can't be zero. That is why we say it's 'undefined'.
Hope this helps.
Question 3: use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
72 +72=144
180-144=36
the answer is 36°
The measure of the angle x is 36° obtained by the concept of an Isosceles triangle and interior angle sum.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know an isosceles triangle has two similar sides and angles opposite to the similar side and also measures the same.
So, By the interior angle sum concept,
72° + 72° + x = 180°.
x = 36°.
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3(y+6)=30 solve equation
Answer:
3(y+6)=30
3y + 18 = 30
18 - 30 = 3y
12 = 3y
12/3 = y
4 = y
or
y = 4
Can someone help me with this question please. I've been struggling.
Write the equation of the line of reflection
Answer:
y=-1
Step-by-step explanation:
Since we see an overlap, the line must cross through the original image.We can solve the equation of the line of reflection by realizing there is no slope because the reflection is parallel to the x-axis.sin^2x + sin2x +2cox^2x = 2
Answer:
Step-by-step explanation:
[tex]sin^2 \ x + sin ^2 \ x + 2cos^ 2\ x = 2\\\\2sin^2 \ x + 2 cos^2 \ x = 2\\\\2 ( sin^2 \ x + cos^2 \ x ) = 2 \\\\2 \times 1 = 2 \\\\2 = 2 \\\\LHS = RHS \\\\Hence \ proved.[/tex]
Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many problems as Vicki. The expression shows how many problems they have worked altogether.
Answer:
p + 4p
5p
Step-by-step explanation:
Problems Vicki solved = p
Tamra worked 4 times as many problems as Vicki = 4 x p = 4p
total problems solved by both of them =4p + p
= 5p
Use the graph below, find f(10).
6points!!!
Answer:
the answer is a
tell me if it’s rite or wrong I did the work as best as I could
f(10) is undefined.
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is the graph of a function?"It is the set of points on the coordinate plane which satisfies the given function."
For given question,
We need to find the value of a function at x = 10.
We can observe that, when x = 10, the function value 2 is denoted by an open circle.
This means the function do not have value 2 when x = 10
Therefore, f(10) is undefined.
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I need who help .. who can be my lifesaver
Answer:
Q = G
Step-by-step explanation:
We are already given that angle P = angle H
We are also given that side QP = side GH
Remember if two sides are congruent then so are their opposite angles meaning that the opposite angle of GH ( which would be angle F ) would be congruent to the opposite angle of QP ( which would be angle R )
The remaining angles would be angle q and angle g so the additional information needed would be G = Q
how do you solve 2x+320=425
Answer:
how to solve your problem
Step-by-step explanation:
2x320=425
subtract both 320 both from sides of the equation
2x+320-320=425-320
subtract numbers
2x=105
divide both sides of equation by the same terms
2x/2=105/2
simplify
x=105/2
answer is x=105/2
# By selling 5 oranges, a shopkeeper gains the selling price of 1 orange. Find his profit percentage.
O 50%
O 25%
O 15%
O 20%
profit from selling 5 oranges is 20%
Profit percentage of selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.
What is profit?" Profit is defined as difference of cost price from selling price when the selling price of a product is greater than its cost price."
Formula used
Profit percentage = [tex]\frac{Selling price - cost price}{cost price} (100)[/tex]
According to the question,
We know that,
Selling price = cost price + profit
Substitute the given condition in the selling price formula we get,
Selling price of 5 oranges
= Cost price of 5 oranges + Selling price of 1 oranges
⇒(S.P of 5 oranges) - (S.P of 1 oranges) = C.P. of 5 oranges
⇒S.P of 4 oranges = C.P of 5 oranges
⇒[tex]\frac{S.P}{C.P}=\frac{5}{4}[/tex]
Substitute the value in the formula to get profit percentage,
Profit percentage = [tex]\frac{5-4}{4}(100)[/tex]
= 25%
Hence, profit percentage of selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.
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In the diagram, what is AC?
find the DB =[tex]\displaystyle\bf \sqrt{17^2-8^2} =15[/tex] ; now find AD=AB-DB=21-15=6 .Then AC=[tex]\displaystyle\bf \sqrt{AD^2+CD^2} =\sqrt{6^2+8^2} =10[/tex]
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in both right triangles
To find BD
BD² + CD² = BC²
BD² + 8² = 17²
BD² + 64 = 289 ( subtract 64 from both sides )
BD² = 225 ( take the square root of both sides )
BD = [tex]\sqrt{225}[/tex] = 15
Then
AD = AB - BD = 21 - 15 = 6
To find AC
AC² = AD² + CD²
AC² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
AC = [tex]\sqrt{100}[/tex] = 10 → C
the sum of three consecutive terms of an arithmetic progression is 24, find the middle term?
Answer:
Therefore,
Middle term = 8
Sequence,
a-d, a, a+d = 8-6, 8, 8+6
= 2,8,14
Step-by-step explanation:
Answer:
The middle term is 8
Step-by-step explanation:
The middle term is 8.
What is 1/4 in feet?
Answer:
0.25 feet
7.62 centimeters
3 inches
Step-by-step explanation:
Not really a clear question-
Can someone please help me with this?
Express sin O as a fraction in simplest form
Answer:
sin o = opposite/hypotenuse
sin o= 7/12
Anna, Bob and Chris are altogether 31 years old. How old will all three be altogether in three years time? (A)32 (B)34 (C)35 (D)37 (E)40
Answer:
40
Step-by-step explanation:
A+B+C = 31
Add 3 years to each age
A+3 +B+3 + C+3 = 31 +3+3+3
They will be
A+3 +B+3 + C+3 = 40
Answer:
it will be 40
Step-by-step explanation:
If they are altogether 31 years old now in 3 years we just add 9 thus it is 40
Based on the table below, what is the relationship between cups and tablespoons?
Answer:
the answer is A
Step-by-step explanation:
What degree of rotation about the origin will cause the triangle below to map
onto itself?
A.90
B.270
C.360
D.180
How can an expression written in either radical form or rational exponent form be rewritten to fit the other form? Explain thoroughly and thank you for your time.
Answer:
Step-by-step explanation:
We'll start with going form exponential to radical, since it may be easier to follow. For example,
[tex]x^{\frac{4}{3}[/tex] can be written, in radical form, as
[tex]\sqrt[3]{x^4}[/tex]. What happens is that the denominator of the fraction serves as the index (the number that sits in the bend of the radical) and the numerator serves as the power on the variable (or number, if that's the case). Let's look at another one:
[tex]4^{\frac{2}{3}[/tex] becomes
[tex]\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}[/tex]
And you can go the other way with it. For example,
[tex]\sqrt[5]{x^4}[/tex] becomes
[tex]x^{\frac{4}{5}[/tex], etc. Get it?
Answer:
When you're given a problem in radical form, you may have an easier time if you You can rewrite every radical as an exponent by using the following property — the top ... For example, 643/2 is easier if you write it as (641/2)3 = 83 = 512 rather than (643)1/2, Rewrite the entire expression using rational exponents.
For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x, and explain how you know which Law to use. Then find angle x to the nearest tenth.
NOTE: The perimeter of ABC-31
Given:
The figure of a triangle.
The perimeter of the triangle ABC is 31.
To find:
The value of x in the given triangle.
Solution:
Three sides of the triangle ABC are AB, BC, AC are their measures are [tex]3b-4,2b+1,b+10[/tex] respectively.
The perimeter of the triangle ABC is 31.
[tex]AB+BC+AC=31[/tex]
[tex](3b-4)+(2b+1)+(b+10)=31[/tex]
[tex]6b+7=31[/tex]
Subtract 7 from both sides.
[tex]6b=31-7[/tex]
[tex]6b=24[/tex]
[tex]b=\dfrac{24}{6}[/tex]
[tex]b=4[/tex]
Now, the measures of the sides are:
[tex]AB=3b-4[/tex]
[tex]AB=3(4)-4[/tex]
[tex]AB=12-4[/tex]
[tex]AB=8[/tex]
[tex]BC=2b+1[/tex]
[tex]BC=2(4)+1[/tex]
[tex]BC=8+1[/tex]
[tex]BC=9[/tex]
And,
[tex]AC=b+10[/tex]
[tex]AC=4+10[/tex]
[tex]AC=14[/tex]
Using the law of cosines, we get
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
[tex]\cos A=\dfrac{(AC)^2+(AB)^2-(BC)^2}{2(AC)(AB)}[/tex]
[tex]\cos A=\dfrac{(14)^2+(8)^2-(9)^2}{2(14)(8)}[/tex]
[tex]\cos A=\dfrac{179}{224}[/tex]
Using calculator, we get
[tex]\cos A=0.7991[/tex]
[tex]A=\cos ^{-1}(0.7991)[/tex]
[tex]x=36.9558^\circ[/tex]
[tex]x\approx 37.0^\circ[/tex]
Therefore, the value of x is 37.0 degrees.
For his long distance phone service, Justin pays a $3 monthly fee plus 11 cents per minute. Last month, Justin's long distance bill was $12.79. For hov minutes was Justin billed?
Answer:
89 minutes
Step-by-step explanation:
let he talked for x minutes.
$12.79=1279 cents
1279=300+11x
11x=1279-300=979
x=89
Evaluate function from their graph
Answer:
f(-5) = 7
Step-by-step explanation:
f(-5) means find the y value when x = -5
y = 7 when x = -5
Solve the system of equations.
−5x−3y−9=0
4x−18y−54=0
y=? x=?
Answer:
Step-by-step explanation:
Eq. 1 ) −5x−3y−9=0
Eq. 2) 4x−18y−54=0
there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)
6 *( −5x−3y−9=0 )
Eq. 3) -30x -18y =54
subtract Eq. 2 from Eq. 3 :)
-30x -18y =54
-( 4x−18y=54)
-34x = 0
so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,
then:
-5x = 9 +3y
x = - 9/5 + (-3/5)y
now plug that into Eq. 2
4( - 9/5 + (-3/5)y ) - 18y = 54
-36/5 + (-12/5)y -18y = 54
(-12/5)y - (90/5)y = 54+36/5
-(102/5)*y =270/5+36/5
-(102/5)y = 306/5
y = (-5/102)*(306/5)
y = -306/102
y = -3
then plug in for either equation
-5x-3( -3) = 9
-5x + 9 = 9
-5x = 0
x = 0
now we have the full answer
check it by plugging in both x and y into the 2nd equation
4(0) - 18(-3) = 54
54= 54
this seems good
Can someone please help me with this question
Answer:
The answer should be: B
I think it's B because there are 2 cups of water (2c) and 7 bottles of water (7w) which costs $16 so that would be 2c +7w=16. Also for the other one, it's 3 cups (3c) and 8 bottles of water (8W) and the cost is $19 so that would be
3c + 8w =19
Step-by-step explanation: Hope this helps and gl :))
The length of a rectangle exceeds its width by 3 inches. The area of the rectangle is 70
square inches. Find its dimensions. Hint: as in the example, use the equation for area,
A = lw.
Answer:
70= (x+3)
Step-by-step explanation:
the length of the rectangle its width by 3 inches, if the width is x,the length will be x+3. so A=LW= 70
To find= 70= (x+3)x
x= 7 or -10
Plsss can someone answer the bottom question
Answer:
30
Step-by-step explanation:
[tex]\frac{75}{100} = \frac{x}{40}\\\\Cross- multiply:\\\\\\75*40=100x[/tex]
3000 = 100x
x = 30
Another way:
75/100 is in reality 3/4
and 3/4 of 40 = 30
40/4 = 10
10 * 3 = 30
If my answer is incorrect, pls correct me!
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-Chetan K
Find end and mid point
Answer:
You already post your answer!
Step-by-step explanation:
Maybe you should get two points in order to find midpoint and endpoint!
or you should give other information!
question 2 help pls
Answer:
[tex](\sqrt{x+3} )^{2} + 4^{2} = 5^{2}[/tex]
x + 3 + 16 = 25
x + 19 = 25
x = 6
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.