Answer:
32.8 mi²
Step-by-step explanation:
Hi there!
Area of a triangle when given two sides, a and b, and the angle that conjoins them, C:
[tex]A=\frac{1}{2} ab*sinC[/tex]
Plug in the known information:
a=11, b=6, C=97°
[tex]A=\frac{1}{2} (11)(6)*sin(97)\\A=33sin(97)\\A=32.8[/tex]
Therefore, the area of the triangle is approximately 32.8 mi².
I hope this helps!
Answer:
B
Step-by-step explanation:
The trick here is to find the height. The answer is
height = sin(180 - 97) * 11
The height is found by finding the supplement of 97, taking the sin of that angle and multiplying by 11.
There is a drawing required. You need to extend ZY until a line from x meets ZY (extended) at right angles. When that happens you find the sine of the supplement.
height = sin(83)*11
height = 10.92
Now use the standard area formula.
Area = base (ZY) * height / 2
base = 6
height = 10.92
Area = 6 * 10.92 /2
Area = 32.75
What do I need to do to be able to solve this problem?
9514 1404 393
Answer:
(x, y, z) = (5, 11, 6)
Step-by-step explanation:
To solve this problem, you need to understand "row operations". The ones we're concerned with are multiplying a row by a scalar, and adding rows together.
You also need to understand what the solution looks like, and the usual way that is achieved. The solution will have the 3×3 matrix left of the vertical line be a diagonal of 1s (the identity matrix). Then the numbers to the right of the vertical line represent the solution.
__
In the following, we will use the notation [a]+b[c]⇒[d] to mean that row 'a' is added to the product of row 'c' and the scalar 'b' and that sum replaces row [d]. Multiplying a row by a scalar multiplies each element in the row by that scalar.
The first several operations look like this. Notice we have made the upper left 2×2 matrix an identity matrix. Steps will continue to take care of the 3rd column.
[tex]\left[\begin{array}{ccc|c}1&1&1&22\\6&1&8&89\\-6&4&4&38\end{array}\right] \qquad\text{given}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&-5&2&-43\\0&5&12&127\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ 6[1]+[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ $-\frac{1}{5}$[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[1]-[2]$\rightarrow$[1]}[/tex]
Now, we normalize the third column.
[tex]\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&1&6\end{array}\right] \qquad\text{$\frac{1}{14}$[3]$\rightarrow$[3]}\\\\\left[\begin{array}{ccc|c}1&0&0&5\\0&1&0&11\\0&0&1&6\end{array}\right] \qquad\text{$-\frac{7}{5}$[3]+1$\rightarrow$[1];\ $\frac{2}{5}$[3]+[2]$\rightarrow$[2]}[/tex]
This is the target of our row operations. It tells us the solution to the system of equations is ...
(x, y, z) = (5, 11, 6)
_____
A number of online calculators and phone or tablet apps are available for putting a coefficient matrix into this "reduced row-echelon form." Many graphing calculators will do this, too.
In the end, this is not terribly different from ad hoc solution using "elimination" methods. That is precisely what we did when we created the zeros in the first two columns of row 3.
Helppppp pleaseeee anyoneeeeeee!!!!!!!!!!!!!
Can someone help me please ?
Answer:
I would say D is your answer
Step-by-step explanation:
Answer:
the fourth one
use mathaway its like my best friend for math!!!
Step-by-step explanation:
Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cupsss
Answer:
158.33 minutes = 2.63 hours
Step-by-step explanation:
HELPPPP MEEEE OUTTTTT ASAPPPPP PLEASEEEEE!!!!!
Answer:
cos A = 7/25
Step-by-step explanation:
Since we are given a right triangle, we can use trig functions
cos A = adj side/ hypotenuse
cos A = 7/25
Answer:
[tex]\boxed{\sf cos\ A =\frac{7}{25}}[/tex]
Step-by-step explanation:
We need to find out the value of cos A using the given triangle . Here we can see that the sides of the triangle are 7 , 25 and 24 .
We know that the ratio of sine is base to hypontenuse .
[tex]\sf\longrightarrow cos\theta =\dfrac{ base}{hypontenuse}[/tex]
Here we can see that the side along the angle A is 7 , therefore the base of the triangle is 7. And the side opposite to 90° angle is 25 . So it's the hypontenuse . On using the ratio of sine ,
[tex]\sf\longrightarrow cos \ A =\dfrac{ b}{h}=\dfrac{AB}{AC}[/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow \boxed{\blue{\sf cos \ A =\dfrac{7}{25}}}[/tex]
Hence the required answer is 7/25.
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic
Answer:
Independent means that one has no effect on the other. Exclusive means one cannot happen alongside the other. In simpler terms, independent events can be thought of as the chance it'll rain and how many people are flossing their teeth in the morning. Both happen, but neither one impacts the other.
Exclusive, on the other hand, means only one can happen. Lets say at nine in the evening your favorite show is on. However, you have an early morning and should be asleep by nine. You cannot both be asleep and watching your favorite show, and so these events are exclusive.
How would I solve this half life problem?
A parabola can be represented by the equation y2 = 12x.
Which equation represents the directrix?
O y=-3
O y=3
O X=-3
O x= 3
Answer:
It's C
X = -3
Step-by-step explanation:
Edge 2022
The equation represents the directrix is x=-3.
the correct option is (C).
what is directrix in parabola?A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.
given: y²=12x
y²=4*3*x
Here a=3
So, x+a=0
x+3=0
x=-3.
Hence, the directrix of parabola is: x=-3
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if there are about 5,000.00 red blood cells in every one cubic millimiter of mrs. garcias blood and there are about 4,600,00 cubic millimiter of blood in her body. How many red blood cells does mrs. gracia has in her body?
Answer:
Step-by-step explanation:
Use a double-angle or half-angle identity to find the exact value of each expression
If 180° < θ < 270°, then 90° < θ/2 < 135°, which places θ/2 in the second quadrant so that sin(θ/2) > 0 and cos(θ/2) < 0.
Recall that
cos²(θ/2) = (1 + cos(θ))/2
==> cos(θ/2) = -√[(1 + (-15/17))/2] = -1/√17
and
sin²(θ/2) = (1 - cos(θ))/2
==> sin(θ/2) = +√[(1 - (-15/17))/2] = 4/√17
Then
tan(θ/2) = sin(θ/2) / cos(θ/2)
… = (4/√17) / (-1/√17)
… = -4
Second time I’ve posted this. Please help!! :)
Answer:
-2 is an extraneous solution because it creates 0 in the denominator.
There is one acceptable solution to the equation
Step-by-step explanation:
x² + 5x + 6 = x² + 2x + 3x + 6
= x(x + 2) + 3(x + 2)
= (x + 2)(x + 3)
[tex]\frac{x}{x+2}+\frac{2}{x^{2}+5x+6}=\frac{5}{(x+3)}\\\\\frac{x}{x+2}+\frac{2}{(x+2)(x+3)}=\frac{5}{(x+3)}\\\\\frac{x*(x+3)}{(x+2)(x+3)}+\frac{2}{(x+2)(x+3)}=\frac{5*(x+2)}{(x+3)(x+2)}\\\\\frac{x^{2}+3x+2}{(x+2)(x+3)}=\frac{5x+10}{(x+3)(x+2)}\\\\[/tex]
x² + 3x + 2 = 5x + 10
x² + 3x - 5x + 2 - 10 = 0
x² - 2x - 8 = 0
x² + 2x - 4x - 8 = 0
x(x + 2) - 4(x + 2) = 0
(x + 2)(x - 4) = 0
x +2 = 0 or x - 4 = 0
x = - 2 or x = 4
please help finding x ASAP
Angle 2 and Angle 4 are same-side interior angles, which are supplementary.
(2x + 10) + (4x + 80) = 180
6x + 90 = 180
6x = 90
x = 15
Hope this helps!
Answer:
X = 15
Step-by-step explanation:
Angle 2 = Angle 3 since they are alternate angles
Now, angle 3 and 4 should add up to 180 since they are on a straight line
∴ (2x + 10) + (4x + 80) = 180
6x + 90 = 180
6x = 180 - 90
6x = 90
x = 15
HOPE THIS HELPS
Find DC, given that line AD is the angle bisector of
(05.05) Which scenario best matches the linear relationship shown in the table?
Weeks Dollars
0 10
2 20
4 30
6 40
• Shanna had $10 in her piggy bank and earned $10 each week in allowance.
• Shanna had $10 in her piggy bank and earned $5 each week in allowance.
• Shanna had $10 in her piggy bank and spent $5 each week on stickers.
• Shanna earns $10 each week.
Answer:
• Shanna had $10 in her piggy bank and earned $5 each week in allowance.
Step-by-step explanation:
Week 0 dollars = 10
This means Shanna had $10 her piggy bank before the week started
Week 2 dollars = 20
Her account has increased from 10 to 20 dollars in two weeks. This means she is earning
Amount earned per week = change in earnings / change in week
= 20 dollars - 10 dollars / Week 2 - week 1
= 10 dollars / 2 weeks
= 5 dollars per week
Amount earned per week = $5
Therefore,
• Shanna had $10 in her piggy bank and earned $5 each week in allowance
Answer:
option b
Step-by-step explanation:
cuz its the only one that makes sense
The slope of the line is:
A. -6
B.
C. O
D. Undefined
Answer:
The slope is undefined
Step-by-step explanation:
Since x doesn't have an existing value it leaves the slope as undefined.
Which type of transformation is this?
Answer:
A reflection across the x axis
Step-by-step explanation:
Parallelogram ABCD was reflected across the x axis to create parallelogram A'B'C'D'
help pls with explanation!!!
Answer:
18c - 30d + 36
Step-by-step explanation:
To apply the distributive property, we must "distribute" (multiply) the outer term by the terms in the parentheses. In this case, the outer term is 6, and the inner terms are 3c, 5d, and 6. Then, if there's any like terms, you must combine them.
6(3c - 5d + 6)
(6 · 3c) + (6 · -5d) + (6 · 6)
18c + -30d + 36
As you can see, there's no like terms in this expression, so the equivalent expression to 6(3c - 5d + 6) is 18c + -30d + 36.
Construct 5 equivalent equations for the equation - 3 + 2x = -4.
Answer:C
Step-by-step explanation:
Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dashed line?
Answer:
The third option with the right angle
Step-by-step explanation:
By creating a perpendicular line through the line of reflection (the orange dotted line) and the point "D" we can measure the distance of D from the line of reflection. Then draw "D'" using the distance of the "D" from the line of reflection.
find the slope of the line for each pair of points (2, -10) (8, -16)
Answer:
-1
Step-by-step explanation:
We can use the slope formula since we are given two points
m = (y2-y1)/(x2-x1)
= (-16- -10)/(8-2)
= (-16+10)/(8-2)
= -6/6
= -1
Let’s think about another type of scenario. What if you were told that a bracelet requires 10 beads and 10 minutes to make while a necklace requires 20 beads and takes 40 minutes to make. The craftsman has 1000 beads to work with and he has 1600 minutes in which to work. If a bracelet costs $5 and a necklace costs $7.50, what is the maximum revenue that the craftsman can take in?
Answer:
$425
Step-by-step explanation:
Let x represent the number of bracelets made and let y represent the number of necklace made.
Since the craftsman has 1000 beads to work with, hence:
10x + 20y ≤ 1000 (1)
Also, the craftsman has 1600 minutes, hence:
10x + 40y ≤ 1600 (2)
From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).
Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:
Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425
Which of the following is an example of a quadratic equation?
O A. X+10 - 33
O B. y - 4x+6
OC. x2-64-0
O D. V-746
Hello!
Answer: C. x² - 64 - 0
Good luck! :)
HELPPPP MEEEEE OUTTTTT PLEASEEEE ASAPPPP!!!!
Answer:
sin X =35/37
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin X = opp side / hypotenuse
sin X =35/37
△STR≅△LMN, SR=7b+8, and LN=11b−12. Find b and SR.
Answer:
b = 5
Step-by-step explanation:
△STR ≅ △LMN
This means the corresponding sides are equal.
SR and LN are corresponding sides.
SR and LN are equal.
The value of b is 5.
The value of SR is 43
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
△STR ≅ △LMN
This means the corresponding sides are equal.
SR = 7b + 8
LN = 11b − 12
SR and LN are corresponding sides.
SR and LN are equal.
So,
7b + 8 = 11b − 12
Subtract 7b on both sides.
8 = 11b - 7b - 12
Add 12 on both sides.
8 + 12 = 4b
20 = 4b
b = 20/4
b = 5
Now,
SR:
= 7b + 8
= 7 x 5 + 8
= 35 + 8
= 43
Thus,
The value of b is 5.
The value of SR is 43
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what amount of money is to be deposited in a bank to get RS 1225 in 9/2 year with the rate of intrest 5%
Answer:
rs.6,300
Step-by-step explanation:
Simple Interest, S.I. = Rs. 1260 =
100
PR×2
=
50
PR
-(i)
Compound Interest, C.I. = Amount(A) - Principle(P)
=P(1+
100
R
)
2
- P = PR(R/10000+1/50)=Rs.1323 -(ii)
Dividing (ii) by (I),
200
R
+1 =
1260
1323
⇒Rate,R=10%p.a.
Now,
100
PRT
=1260
⇒
100
P×10×2
=1260
The amount of money that we need to deposit in the bank to get RS 1225 is RS 1100.03.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount.
Suppose we need to deposit the P amount to get RS 1225
By compound interest formula,
1125 = P(1 + 0.05)^(9/2)
P = RS 1100.03
Hence "We need to deposit Rs. 1100.03 in the bank in order to receive Rs. 1225".
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The multiplicative inverse of -3/11 × 1/5 is
Answer:
-55/3
Step-by-step explanation:
-3/11 x1/5
-3/55
Multiplicative inverse means Reciprocal of -3/55 [That means the numerator goes to the denominator and the denominator to the numerator]
=> -55/3
Given: APRS, RS=10
mZP=45º, mzS=600
Find: Perimeter of APRS
Answer:
Perimeter of ΔPRS = 35.91 units
Step-by-step explanation:
From the figure attached,
By applying triangle sum theorem in the given triangle PRS,
m∠P + m∠R + m∠S = 180°
45° + m∠R + 60° = 180°
m∠R = 75°
By applying sine rule,
[tex]\frac{\text{sinP}}{RS}= \frac{\text{sinS}}{PR}=\frac{\text{sinR}}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}[/tex]
PR = 12.25 units
[tex]\frac{\text{sin}(45^{\circ})}{10}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
PS = 13.66 units
Perimeter of triangle PRS = PR + PS + RS
= 12.25 + 13.66 + 10
= 35.91
which describes a greater unit rate of change of Y with respect to X the equation Y = 4.5x or the table
Answer:
The proportional relationship is same
Step-by-step explanation:
Generally, we can get the unit rate by dividing the y-value by the x-value
This will be;
9/2 or 18/4 or 27/6 = 4.5
from what we have y = 4.5x
Now, as we can see, the proportional relationship is same
Instructions: Find the measure of the indicated angle to the nearest degree.
Step-by-step explanation:
I don't have a calculator with me right now but I can give you the equation to work out your answer.
cos-1(35/38)
There should be a function of "cos-1" on you're calculator, not just "cos"
hope it helps :)
Guided Practice
You drop a handball from a height of 100 centimeters. Each curved path has 64% of the height of the previous path.
Write a rule for the sequence using centimeters. The initial height is when n = 1.
What height will the ball reach at the top of the sixth path?
A.
an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm
B.
an=0.64 · (100)n−1a subscript n baseline equals 0.64 times left parenthesis 100 right parenthesis superscript n minus 1 baseline; about 0.11 cm
C.
an=1 · (0.64)n−1a subscript n baseline equals 1 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; 6,400,000,000 cm
Answer:
The correct choice is (A)
Answer:
A.
an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm
Step-by-step explanation: I got it off of the internet
Step 1 of 1
In geometric sequence, the ratio between two consecutive terms is constant. This ration is called the common ratio.
Consider the following sequence:
Thus the common ratio of the sequence is .
...............................................................................................................................................
You drop a handball from a height of 1 meter. Each curved path has 64% of the height of the previous path. A. A(n)= 100*(0.64)^n-1
