Answer:118
Step-by-step explanation:
Trust me
In triangle MNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
To find the measure of angle ∠M, we need to use the law of cosines, which states that:
c² = a² + b² - 2ab cos(C)
To find ∠M, which is opposite to side m, so we can use the law of cosines as follows:
m²= n² + o² - 2no cos(∠M)
Substituting the given values, we get:
89² = 30² + 71² - 2(30)(71) cos(∠M)
Simplifying and solving for cos(∠M), we get:
cos(∠M) = (30²+ 71² - 89²) / (2(30)(71))
cos(∠M) = -0.4402
To find the measure of ∠M, we need to take the arccosine of cos(∠M) using a calculator:
∠M = 118.7 degrees
Hence, in ΔMNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees
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Please help me solve these problems, or as many as you can. I need them in step by step..
5. 36d¹⁰/6d⁵
6. [(4³)²]²
7. 5³•7⁵•10/5•7⁴
8. (2²)⁷
9. (8v⁹)⁵
Answer:
5. 36d¹⁰/6d⁵ = 6d⁵
6. [(4³)²]² = 4⁷
7. 5³•7⁵•10/5•7⁴ = 5²•7• 10
8. (2²)⁷ = 2⁹
9. (8v⁹)⁵ = 8⁵V¹⁴
Step-by-step explanation:
When solving questions having indices, we follow certain rules in Mathematics
a) a^b/a^c = a^b-c
b) (a^b)^c = a^b+ c
Hence:
5. 36d¹⁰/6d⁵ =
(36/6)^d^10-5 = 6d⁵
6. [(4³)²]²
= (4)^3 + 2+ 2 = 4⁷
7. 5³•7⁵•10/5•7⁴
= (5)^3-1 • (7) ^5-4• × 10
= 5²•7•10
8. (2²)⁷
= (2)^2 + 7
= 2⁹
9. (8v⁹)⁵
= 8⁵•v^9+5
= 8⁵v¹⁴
Mrs. Ford spent $300 to buy some premium tea leaves. If
the price of the tea leaves had been reduced by $50 per kg,
she could have bought 0.5 kg more. Find the original price
per kg of the tea leaves.
Answer:
$70
Step-by-step explanation:
Answer:
The answer is $70
Step-by-step explanation:
Which orchard would be cheaper to visit if the class has 12 students?
Orchard A) admission costs $9 per person and 3 chaperones are required.
Orchard B) the cost is $10 per person, but only 1 chaperone is required.
Answer: orchard B
Step-by-step explanation: (orchard A) if you were to only bring the 12 students, the cost would be $108. But since it requires 3 chaperones you’d add 3 to the already 12 students making the full cost $135.
(Orchard B) if you were take only the 12 kids to the orchard it would cost you $120 but because it requires ONLY 1 chaperone, the final cost would be $130. allowing it to be $5 dollars less than what Orchard A would cost.
Randall collects postcards that his friends
send him when they travel. He can put
6 cards on one scrapbook page. How
many pages does Randall need to fit
42 postcards? (SHOW YOUR WORK/STEPS)
Answer:
7pages
Step-by-step explanation:
42÷6= 7
You are dividing how many postcards you have with how many you can fit on one page. If you divide them, you will get your answer.
Randall needs 7 pages to fit 42 postcards.
Marco scored 20 points at the basketball game . If this is 40% of the total score, what was the total score for the basketball game ?
The total score for the basketball game was 50 points.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
Points scored by Marco in basketball game = 20
Also, points scored by Marco is 40% of the total score,
Implies that,
40% = 20
1 % = 20 / 40
To determine total score, find value of 100%,
100 % = (20 / 40) x 100
= 50
The total score for the basketball game was 50.
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NOT TO
SCALE
Jo
The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm and a surface area of 1024 em'.
The smaller container has a volume of 1458 em.
Calculate the surface area of the smaller container,
[4]
Answer:
455.1 cm²
Step-by-step explanation:
The two containers have the following;
Large container
Volume : 3456 cm³
Surface area : 1024 cm²
Small container
Volume : 1458 cm³
Surface area : ?
If the two containers are mathematically similar then first find the volume scale factor
Volume of large/ volume of small
3456/1024 = 3.375
Length scale factor will be cube root of volume scale factor
∛3.375 = 1.5
Area scale factor is a square of the length scale factor
=1.5² = 2.25
=Surface area of the small container will be :
Larger area = 2.25 * small area
1024 = 2.25 * small area
1024/2.25 = small area
Surface area of the smaller container 455.1 cm².
Can you help me
(1). If f(x)=|x−5|+3, find f(2).
11
6
4
0
(2). If f(x)=8−3|x+2|, find f(−6).
−16
−4
4
20
(3). What is the turning point of the graph of f(x)=|x−2|+3?
(2, −3)
(2, 3)
(−3, 2)
(3, 2)
(1).
f(x) = |x − 5| + 3
f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6
(2).
f(x) = 8 − 3|x + 2|
f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 − 12 = − 4
(3).
For f(x) = |x − h| + k the turning point is (h, k), so:
f(x) = |x − 2| + 3 ⇒ the turning point is: (2, 3)
The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
1) The function is,
⇒ f(x) = |x−5| + 3
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
3) The function is,
⇒ f(x) = |x−2| + 3
Now,
1) The function is,
⇒ f(x) = |x−5| + 3
Put x = 2;
⇒ f (2) = |2 - 5| + 3
⇒ f (2) = 3 + 3
⇒ f(2) = 6
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
Put x = - 6;
⇒ f (- 6) = 8 - 3 |- 6 + 2|
⇒ f (-6) = 8 - 3 × 4
⇒ f(-6) = 8 - 12
⇒ f (- 6) = - 4
3) The function is,
⇒ f(x) = |x−2| + 3
We know that;
Turning point of the function f (x) = |x - h| + k are (h, k)
So, By comparing we get;
The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).
Thus, The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
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PLA ANSWER I DONT KNOW THIS
Answer:
x=45
Step-by-step explanation:
I can give you two solutions
First solution:
In [tex]\triangle FBA[/tex] we know that
[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]
same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]
so we have that
[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]
we leave it like that because it's convenient
Now by properties of parallelograms we know that opposite sides add up to 180
[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]
so one angle is 45 and the other one is 135
Solution 2
if we look at DEBF we can say that it's a cyclic quadrilateral
because opposite sides add up to 180
in our case
[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]
so for the other to angles is also true
[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]
so that's the measure of one angle of the parallelogram
the other angle x is
[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]
There you go choose yourself
SIMPLE CORDINATES. BRAINLIEST, 5 STAR, AND A LIKE IN RETURN. SHOW SOME WORK PLEASE THIS IS DUE SOON.
Answer:
D they both are correct, because it is reflected equally from both coordinates.
Step-by-step explanation:
A ball is tied to a string and swung in a horizontal circle with a tangential speed of 2.5 m/s. The length of the string is 1.5m. Calculate the ball’s centripetal acceleration.
Answer:
[tex]a_c=4.17\ m/s^2[/tex]
Step-by-step explanation:
Centripetal Acceleration
It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.
Its magnitude can be calculated as follows:
[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]
Where:
v = tangential speed
r = radius of the circle
The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:
[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]
[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]
[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]
My question is in the picture please give an explanation. Thanks!
What integer value of n will satisfy n + 10 > 11 and -4n > -12?
Answer:
2
Step-by-step explanation:
ASAP SOMENW HELP ME PLS
Answer:
4.2
Step-by-step explanation:
Ok the points are (-1, 2) and (1, -2)
Put it in the formula
d = [tex]\sqrt{(1 - -1)^2 + (-2 - 2)^2} \\\sqrt{(2)^2 + (-4)^2} \\\sqrt{2 + 16} \\\sqrt{18} \\[/tex]
√18 = 4.2426 ≈ 4.2
Hope this helps ya!!
Enter the equation of the line in slope-intercept form.
The line passes through (1,7) and (2,19).
The equation of the line is
Answer:
ajfbgaulfgsuidglml
Step-by-step example:
Graph the rational function f of x equals quantity 2 times x minus 3 end quantity divided by quantity x plus 4 end quantity.
A rational function is graphed in the first quadrant, and in the third and fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals 4.
A rational function is graphed in the second quadrant, and in the first and third quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 4.
A rational function is graphed in the second quadrant, and in the fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals 1.
A rational function is graphed in the first quadrant, and in the third quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 1.
Answer:
A The answer is A
Step-by-step explanation:
help plz ...............
Answer:
1.869 more miles
Step-by-step explanation:
the formula is
[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]
Answer:
1. 869 miles farther
Step-by-step explanation:
4.89-3.021= 1.869miles
Therefore, Jake went 1.869 miles farther than Tom did.
Expand and simplify
(4 + 2)(6-12)
Give your answer in the form b+cV2
Note: Consider the expression is [tex](4+\sqrt{2})(6-\sqrt{2})[/tex].
Given:
[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]
To find:
The value of given expression in the form of [tex]b+c\sqrt{2}[/tex].
Solution:
We have,
[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]
Using distributive property, we get
[tex]=4(6-\sqrt{2})+\sqrt{2}(6-\sqrt{2})[/tex]
[tex]=4(6)+4(-\sqrt{2})+\sqrt{2}(6)+\sqrt{2}(-\sqrt{2})[/tex]
[tex]=24-4\sqrt{2}+6\sqrt{2}-2[/tex]
On combining like terms, we get
[tex]=(24-2)+(6\sqrt{2}-4\sqrt{2})[/tex]
[tex]=22+2\sqrt{2}[/tex]
On comparing with [tex]b+c\sqrt{2}[/tex], we get
[tex]a=22,b=2[/tex]
Therefore, the required form is [tex]22+2\sqrt{2}[/tex].
please help!! I'm going to fail!!
Answer:
3rd one
Step-by-step explanation:
look t the form x equals up to a diviser
Plz help The population of a specific species of a nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted
How many mammals were there when they were originally counted?
Enter your answer in the box
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The y-intercept.is 75.
The asymptote indicates that the number of mammals counted when the study began was 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
Step-by-step explanation:
im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.
NEED HELP ASAP, WILL GIVE BRAINLIEST
Which rectangular equation represents the parametric equations x = 2sec(t) + 1 and y = 6tan(t)?
Answer:
A.)
Step-by-step explanation:
literally guessed but was right lol
Option first is correct.
What is rectangular equation?A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on regular cartesian plane.
According to the given question
We have
x = 2sec(t) + 1 and y = 6tan(t)
Now the above expressions can be written as :
x -1 = 2sec(t)
⇒ [tex]sec(t)\frac{x-1}{2}[/tex]
similarly,
[tex]\frac{y}{6} = tan(t)[/tex]
From trigonometric identities we know that
[tex]1 + tan^{2} \ t = sec^{2} \ t[/tex]
Substitute the value of tant and sect in the above identity
[tex]1 + (\frac{y}{6} )^{2} =(\frac{x-1}{2}) ^{2}[/tex]
⇒[tex]\frac{(x-1)^{2} }{4} -\frac{y^{2} }{36} =1[/tex], this is the required rectangular equation.
Hence, option first is correct.
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Is this set of ordered pairs a function ?
(9,9) (7,4) (1,2) (2,6) (5,0)
Answer:
Yes
Step-by-step explanation:
Every x value has one y-value.
Answer:
yes
Step-by-step explanation:
yes it is because each of the x has a unique y
9 has 9
7 has 4
1 has 2
2 has 6
5 has 0
FOr 82 points ;) Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°. The length of the longest side of the triangle is not known.
How many different triangles can be drawn with these dimensions? Explain your reasoning
Answer:
do u go to dutchtown
Step-by-step explanation:c
A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box.
Answer:
$546
Step-by-step explanation:
726 is 1/3. 3/3 is 2178. - 1632= 546.
Help! I get 10 points
Answer:
Expression 1= 5
Expression 2 = 1 - 16
Step-by-step explanation:
Nancy and bill collect coins. Nancy has x coins. Bill has 6 coins fewer than times the number of coins nancy has. Write and simplify an expression for the total number of coins nancy and bill have
Answer:
Total number of coins Nancy and bill have = 6x - 5
Step-by-step explanation:
Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .
Let
Number of Nancy's coins = x
Number of Bill's coins = 5x - 5
Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins
= x + (5x - 5)
= x + 5x - 5
= 6x - 5
Total number of coins Nancy and bill have = 6x - 5
how to factor this completely?
25v3 - 40v2 + 35v – 56
Answer:
Factor 25v3−40v2+35v−56
25v3−40v2+35v−56
=(5v−8)(5v2+7)
Answer:
(5v−8)(5v2+7)
(PLEASE HELP ME ASAP
a) The length of a rectangle is 3 m longer than its width and the area of the rectangle is 108 m². Find its length.
Charlie runs each lap in 6 minutes. He will run at most 42 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.
Answer:
n<=7 (less than or equal to)
Step-by-step explanation:
42/6=7, so 7 is the max number of laps he will run.
In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 357 grams of copper. How many grams of zinc does it contain?
Answer:84
Step-by-step explanation:
Help as quick as possible:))
Answer:
Quadrant IV..............