Answer:
-20
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,0) and (5, -3)
law of sines and law of cosines
Answer:
Step-by-step explanation:
[tex]1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63[/tex]
Answer:
4. [tex]\displaystyle 38 ≈ x[/tex]
3. [tex]\displaystyle 75° ≈ m∠X[/tex]
2. [tex]\displaystyle 52 ≈ x[/tex]
1. [tex]\displaystyle 15° ≈ m∠X[/tex]
Step-by-step explanation:
Before we begin, here are the formulas for both laws:
Solving for Angles
[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X[/tex]
Do not forget to use [tex]\displaystyle cos^{-1}[/tex]in the end or you will throw the result off!
Solving for Edges
[tex]\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2[/tex]
Take the square root of the end result or you will throw it off!
-----------------------------------------------------------------------------------
Solving for Angles
[tex]\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}[/tex]
Do not forget to use [tex]\displaystyle sin^{-1}[/tex]in the end or you will throw the result off!
Solving for Edges
[tex]\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}[/tex]
_____________________________________________
4. [tex]\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x[/tex]
3. [tex]\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X[/tex]
2. [tex]\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x[/tex]
You could have also used the Law of Sines sinse the base angles are congruent [30°].
1. [tex]\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X[/tex]
I am joyous to assist you at any time.
What is the value of X ?
Answer:
i think x = 4
Step-by-step explanation:
1. Perry ran 30 miles more than DeShawn last month. Perry ran 46 miles. Write and solve an ADDITION equation to represent how many miles DeShawn ran.
2. For weeding the garden, Jacob was given $12.50. Now he has $23.00. Write and solve an ADDITION equation to represent how much money Jacob had before he was paid.
3. Mary won 80 super bouncy balls playing hoops at the county fair. At school she gave one to every student in her math class. She only has 56 remaining. Write and solve a SUBTRACTION equation to represent how many bouncy balls she gave away.
4. After paying $9.00 for a pizza, Nora has $27.10. Write and solve a SUBTRACTION equation to represent how much money she started with.
5. Seven candy bars cost $12.25. Write and solve a MULTIPLICATION equation to represent the cost of one candy bar.
6. I was driving at 70 miles per hour and traveled 437.5 miles.
Write and solve a MULTIPLICATION equation to represent how many hours I traveled.
Scott and seven of his friends went out to eat.
7. They split the bill evenly. Each person paid $17.82. Write and solve a DIVISION equation to represent the total bill.
8. Kathryn and her best friend found some money under the couch. They split the money evenly, each getting $24.18. Write and solve a DIVISION equation to represent the amount of money found under the couch.
Answer:
30+46=76
Step-by-step explanation:
so you want to draw out a model and write the two numbers and add them.
1. {2, 7, 14, 12, 13, 21, 12, 12, 6, 8, 12)
Mean -
Median -
Mode -
Step-by-step explanation:
mean is when you add all of them up and then divide by how many numbers there are.
median is the number In the middle .the middle number is 21 .
mode : number that appears the most . answer is 12
an examination. 30% of the candidates
ailed. If 210 candidatęs passed, how many
Candidates wrote the examination?
1.63 B. 147 C. 210 D. 300 E. 2100
Answer: D
Step-by-step explanation:
If 30% failed then (100-30)% passed
That is 70%
let x be the number of students that wrote the exam
(70/100)x=210
x=21000/70
x=300
Determine the slope and the y-intercept: y = 3x - 1
Answer:
Slope is 3
y - intercept is -1
Answer:
slope = 3, y- intercept is - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 1 ← is in slope- intercept form
with slope m = 3 and y- intercept c = - 1
A ray, line or segment that cuts a segment in half and create right angles is called__
Solve the equation.
-5(x+3)=20
Answer: x= -7
Step-by-step explanation:
-5 (x+3) =20
Divide both sides by -5:
-5(x+3)/ -5 = 20/-5
Simplify:
x+3= -4
Subtract 3 from both sides:
x+3-3 + -4-3
Simplify:
x= -7
5-1(b+2) =
3+4(3m+2n) =
Answer:
5-1(b+2) = 5-b-2=3-b
3+4(3m+2n) =3 +12m +8n
help this makes no sense to me and its due in 1 day
First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.
RT=24
Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
The geometric mean of 32 and TS is 24, so set up equation.
2nd root or square root of 32*TS=24
32*TS=576
TS=18
QS=18+32=50
I hope this answer helped if you have any questions feel free to ask me in the comments.
Tell whether the two ratios form a proportion. 120 baskets made in 3 days and 720 baskets made in 18 days.
Answer:
Yes they form a proportion.
Step-by-step explanation:
120:3 = 720:18 because:
3x6=18 so multiply 120 by 6 and you get 720. Which means the ratios are proportionate.
The scalene triangle ABC is translated 2 units to the right on a coordinate plane to form the scalene triangle DEF. The measure of segment AB=6 units, the measure of segment BC=5 units, the measure of segment CA=4 units, and m∠ABC=41°. Which of the following is a corresponding measure of triangle DEF?
Answer:
C: EF = 4 Units
Step-by-step explanation:
What is the exact length of each side?
Answer:
[tex]6a^{2} \sqrt{ab}[/tex]
Step-by-step explanation:
area of square = side x side
thus, each side = square root of area
[tex]\sqrt{36a^5b}[/tex] = 6[tex]\sqrt{a^{4} ab}[/tex] = 6[tex]a^{2}[/tex][tex]\sqrt{ab}[/tex]
Szklanka ma pojemnóść 250ml czyli 250cm³. Ile szklanek można napełnić wodą z litrowej butelkki
Answer:
75cm
Step-by-step explanation:
helllllllllpppppp!!!!!!
Epress the ratio of cooking oil(80ml) to the milk (250 ml) of the recipe
Answer:
8:25
Step-by-step explanation:
Hope this helps!
what does 7x^2+12x-3 equal?
Answer:
23
Step-by-step explanation:
Which statement is true about their work? Neither student solved for k correctly because K = 2 and StartFraction 1 over 8 EndFraction. Only Adler solved for k correctly because the inverse of addition is subtraction. Only Erika solved for k correctly because the opposite of One-half is Negative one-half. Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.
Question:
Adler and Erika solved the same equation using the calculations below.
Adler’s Work
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
[tex]\frac{13}{8} - \frac{1}{2} = k + \frac{1}{2} -\frac{1}{2}[/tex]
[tex]\frac{9}{8}= k[/tex]
Erika’s Work
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
[tex]\frac{13}{8}+ (-\frac{1}{2}) = k + \frac{1}{2} + (-\frac{1}{2}).[/tex]
[tex]\frac{9}{8}= k[/tex]
Which statement is true about their work?
Answer:
Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.
Step-by-step explanation:
Given
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
Required
What is true about Adler and Erika's workings
Analyzing Adler's work;
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
Adler subtracted 1/2 from both sides
[tex]\frac{13}{8} - \frac{1}{2} = k + \frac{1}{2} -\frac{1}{2}[/tex]
Solving the expression on the left-hand side
[tex]\frac{13}{8} - \frac{1}{2} = \frac{13 - 4}{8} = \frac{9}{8}[/tex]
Solving the expression on the right-hand side
[tex]k + \frac{1}{2} - \frac{1}{2} = k[/tex]
Hence:
[tex]\frac{9}{8}= k[/tex]
So, Adler's workings is correct
Analyzing Erika's work;
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
Erika added -1/2 to both sides
[tex]\frac{13}{8}+ (-\frac{1}{2}) = k + \frac{1}{2} + (-\frac{1}{2}).[/tex]
Solving the expression on the left-hand side
[tex]\frac{13}{8} + (-\frac{1}{2}) = \frac{13}{8} - \frac{1}{2} = \frac{13 - 4}{8} = \frac{9}{8}[/tex]
Solving the expression on the right-hand side
[tex]k + \frac{1}{2} + (-\frac{1}{2}) =k + \frac{1}{2} - \frac{1}{2} = k[/tex]
Hence:
[tex]\frac{9}{8}= k[/tex]
So, Erika's workings is correct
Both workings are correct
Answer: Both Adler and Erika are correct
Step-by-step explanation:
On Edge 2021
g(n) = 3n − 3 f (n) = 3n + 5 Find g( f (n))
Answer:
Your answer is
9n +12
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
15% of 130 using the decimal method
Answer:
0.3846 is a decimal and 38.46/100 or 38.46%is the percentage for 50/130
Step-by-step explanation:
Pls mark me in brain list
Answer:
0.3846 is a decimal and 38.46/100 or 38.46%is the percentage for 50/130
Step-by-step explanation:
HELP ME IT WOULD MEAN A LOT
Answer:
123
Step-by-step explanation:
72+51=123
123 - 72 = 51
Answer:
72+51=123
123 - 72 = 51
Step-by-step explanation:
Evaluate the expression when when c = 3 and d = 33
Answer:
45
Step-by-step explanation:
What is 36 divided by 1.5 in long division
Answer: 24
To calculate with long division when the divisor is a decimal, add zeroes in both the dividend and divisor. This means you get 360 ÷ 15.
From here, just do normal calculation and you get 24 as your answer.
There is a proportional relationship between the number of cookies and the number of packages 25 20 Number of Cookies 15 10 5 Number of Packages What is the constant of proportionality
I feel the answer would be B
Step-bystep explanation:
can someone help me find the area and perimeter please?
Answer:
Step-by-step explanation:
Remember that the formula to get the area of a right triangle is base times height divided by 2, so to find the area:
5 x 12 = 60/2 = 30
Area of this triangle is 30.
To find the perimeter, add all the sides:
5 + 12 + 13 = 30.
Perimeter of this triangle is 30.
Finishe the lyrics.......ive been watching you for someone time can't stop staring at those________
Answer:
ocean eyes i looked this up
Step-by-step explanation:
there are 4 pizzas and 3 people. how much would each eraser get if each person eats the same amount.
Answer:
Each person should share 1 and 1/2
Question 1 of 5
Given a sphere with a diameter of 6 cm, find its volume to the nearest whole
number.
A. 113 cm3
B. 37 cm3
C. 85 cm3
D. 905 cm3
Answer:
A. 113cm³
Step-by-step explanation:
Finding the volume with diameter,
[tex]v = \frac{1}{6 }\pi {d}^{3} [/tex]
[tex]v = \frac{1}{6} \times \frac{22}{7} \times {6}^{3} [/tex]
[tex]v = 113.14cm^{3} [/tex]
to the nearest whole number
[tex]v = 113 {cm}^{3} [/tex]
Answer:
113 cm^3
Step-by-step explanation:
I Just took the quiz:)
Hi I need help can someone simplify this?
Answer:
c^5
Step-by-step explanation:
:)