Answers
Answer:
Step-by-step explanation:
3a)
find side HP , let's set side HP = c in the law of cosines formula
then
c = sq rt [ 23^2 + 12^2 - 2*12*23*cos(117) ]
c = sq rt [ 529 + 144 - (-250.6027559) ]
c = sq rt [ 673 + 250.6027559 ]
c = sq rt [ 923.602755 ]
c = 30.39
then
HP = 30.4 ( rounded to nearest 10th )
3b)
let PR = c, then law of cosines is (we need angle Q also 180=24+97+Q is 59°
c = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]
c = sq rt [ 81 + 484 -396*0.5150380 ]
c = sq rt [ 565 - 203.955 ]
c = sq rt [ 391.04495]
c = 19.7748
PR = 19.8 ( rounded to nearest 10th )
3c)
they want us to find ∠B, in the formula for cosines ∠B is really ∠C, it's a bit confusing.. I'm sure they did that on purpose to mess people up. Kind of underhanded :/ Tell the teacher that you're "appalled" at the deviousness of the test :/ stage a protest against math that teaches treachery :P storm the principals/ dean's office with paper airplanes and pictures of anime :DDD okay back to math.
a=28
b=17
c=15
since we want angle B then the formula looks like
B= arcCos ( a^2 + c^2 - b^2 / 2*a*c) so we'll avoid messing up the which side is which ... by setting up the formula this way .. got it?
B = arcCos [28^2 + 15^2 - 17^2 / 2*28*15]
B = arcCos[784 + 225 - 289 /840 ]
B = arcCos[720/ 840]
B = arcCos[0.85714285]
B = 31.0027 °
that it came out so close to an integer I'm pretty sure it's right
∠B = 31 .0 ° ( rounded to the nearest 10th )
3d)
find ∠A
set it up carefully again, they are asking us to move the variable around again
a = 18
b= 28
c= 12
then the formula looks like
∠A = arcCos[ b^2 + c^23 - a^2 / 2*b*c ]
∠A = arcCos[28^2 + 12^2 - 18^2 /2*28*12 ]
∠A = arcCos[784 + 144 -324 / 672 ]
∠A = arcCos[604/672]
∠A = arcCos[0.8988095]
∠A =25.99797 °
∠A =26.0 ° ( rounded to nearest 10th)
Related Questions
which ideas about functions are the most helpful
Answers
It helps in calculating the price of groceries such as fruits.
Step-by-step explanation:
Remember, functions are mathematical expressions that represent or shows the relationship between one or more variables.
For example, let's say a young girl wants to shop for 20 oranges in a mall. If we express the price using the function where;
y represents the total cost of the oranges,
20 represents the number of oranges,
x represents the cost per orange (assumed to $0.99)
Then, by means of the knowledge of function, the girl determines the total cost she to be $19.8 (20*0.99).
please help me answer this question
Answers
2) 9cm
explanation
Answer:
a) 47 b) 9 cm
Step-by-step explanation:
PLEASE HELP ASAP I NEED HELP PLEASE????):
Answers
axis of symmetry is the dashed red lines of the equation/parabola. The symmetry is basically like the mirror of both sides of a parabola.
ANSWER: x = 2
write a general formula to describe the variation: S varies jointly with the inverse of the square of P and the inverse of the cube of L; S=4 when P=2 and L=5
Answers
Answer:
S=2000/P^2L^3
Step-by-step explanation:Step 1:Write the correct equation. Combined variation problems are solved using a combination of direct variation (y = kx), inverse variation , and joint variation (y = kxz) equations. When dealing with word problems, you should consider using variables other than x, y, and z, you should use variables that are relevant to the problem being solved. Also read the problem carefully to determine if there are any other changes in the combined variation equation, such as squares, cubes, or square roots.Step 2:Use the information given in the problem to find the value of k, called the constant of variation or the constant of proportionality.Step 3:Rewrite the equation from step 1 substituting in the value of k found in step 2.Step 4:Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. When solving word problems, remember to include units in your final answer.
PLEASE ANSWER ASAP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
.5
Step-by-step explanation:
(.25)(1)(2)=.5 or just 1/2
Find the volume of this rectangular pyramid.
Be sure to include the correct unit in your answer.
base one 7 base 3 hight is 9
Answers
Answer:
the volume is 63
Step-by-step explanation:
LengthxWidthxHeight divided by 3
7x3x9/3
7x3=21
21x9=189
189/3=63
I can't put the "correct" unit because you didn't say what unit was being used in the question but the volume is 63
Which graph represents the solution to the system of equations below?
A.
B.
C.
D.
Answers
Answer:
B (-3,-4)
Step-by-step explanation:
2/5 is a positive trend starting at -2.
y=-4 starts on the y-axis and goes horizontal.
please help for 100 points and brainlist quickly
Answers
Answer:
1)36.3
2) yards
3)B, D, F
4)Sorry, but I can't see!
5)B.
Btw, I'm just copying my sister's answers, she gave me permission. XD
Have a nice day!
Answer:
1)36.3
2) yards
3)B, D, F
4)Sorry, but I can't see!
5)B.
Gave my sister permission, she's too lazy to answer the questions.
Help! What is x? Someone please explain, explanation and answer.
Answers
Answer:
x=11 degrees
Step-by-step explanation:
First what you would do is add 6x and 5x-7 to get 11x-7 degrees. Then you double that by using opposite angles theorem to get 22x-14 as the answer of two angles. Next you double 7x-11 to get 14x-22 by using the same theorem as the last one. then you do 14x-22+22x-14=360 degrees then you get your final answer of x=11 degrees
Marcus spends $58 at the bookstore. He spends the same amount of money on each of the 4 books he purchase. He also paid $4 in sales tax. Write an equation and solve for b, the price of each book.
Answers
Answer:
b=58/4+4 B=18.50
please belo me I dont understand this
Answers
Answer:
45
Step-by-step explanation:
63=7x9
36=4x9
? =5x9
therefore the answer is 45
Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?
f(x) = –3x – 6
f(x) = –3x – 4
f(x) = –3x + 16
f(x) = –3x + 14
Answers
Answer:
f(x) = -3x + 14
Step-by-step explanation:
y + 1 = -3(x - 5)
solving,
y + 1 = -3x + 15
y = - 3x + 14
we know that f(x) = y so,
f(x) = -3x + 14
Based on the cards shown, what is P(pink or even)?
1/5
7/10
9/10
Answers
Answer:
7/10
Step-by-step explanation:
To solve this, first find how many of the cards or even. There are 5 even cards out of these 10 cards, so we have the fraction 5/10. Next, we can see that there are 4 pink cards. So, we also have the fraction of 4/10. Then, add these two fractions.
5/10 + 4/10 = 9/10.
But, since the pink 8 card and the pink 10 card are both pink and even, they were counted twice. So, we need to subtract 2/10 from 9/10. This is 7/10.
If I was of any assistance to you, please mark me brainliest! It would mean a lot and I really need more brainliest marks!
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What is the area of the trapezoid 86in 112in 148in 184in
Answers
Answer:
? me no get it
Step-by-step explanation:
Factorise:
x²+ 12x + 35
Answers
Answer:
(x + 7)(x + 5)
Step-by-step explanation:
x² + 12x + 35
= x² + (7 + 5)x + 35
= x² + 7x + 5x + 35
= x( x + 7) + 5(x + 7)
= (x + 7)(x + 5)
Answer:
[tex](x + 7)(x + 5)[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 12x + 35[/tex]
[tex] {x}^{2} + (7 + 5) \: x + 35[/tex]
[tex] {x}^{2} + 7x + 5x + 35[/tex]
[tex]x(x + 7) + 5(x + 7)[/tex]
[tex](x + 7)(x + 5)[/tex]
Hope it is helpful....evaluate the expression 3d if d =5
Answers
Answer:
15
Step-by-step explanation:
since 3d is multiplying, it would be set up as 3*5=15
What we do is simply turn D into 5, then since there is no sign in between, we multiply 3 and 5.
Two cars leave town at the same time going in the same direction. One travels 55 miles per hour and the other travels 48 miles per hour. And how many hours will they be 49 miles apart?
Answers
Answer:
Question 160644: Two cars leave town at the same time going in opposite directions. One travels 55 mph and the other travels 48 mph. In how many hours will they be 206 miles apart? T=2 HOURS THEY WILL BE 206 MILES APART
Ok thank you
Answer:
its 7hrs
Step-by-step explanation:
Another way to think about it
Every hour, they get 7 miles apart from each other
Since one is 7 miles per hour faster than the other
7*h is their separation for h hours.
Solving 7*h = 49 gets you the hours for which the separation is 49 miles
All whole numbers are positive and can include fractions and decimals.
Answers
Answer:
Yes
Step-by-step explanation:
They are
1. The population of a city is 85,000 and is growing at a rate of 3% each year. Find how many people live in this city after 13 years.
Answers
Answer:
85000 x 0.03 = 2550 (per year)
2550 x 13 = 33150
85000 + 33150 = 118150
Step-by-step explanation:
Hope that helped! Have a nice day!
What is
% of $62 = $31
Answers
Answer:
50?
Step-by-step explanation:
31: 62*100 =
(31*100): 62 =
3100: 62 = 50
62--->100%
31---->x%
x= 31*100/62
x= 50%
Therefore, 31 is 50% of 62
check my most recent question!!!!!!! im stuck T-T 25 points!!!
Answers
Answer:
okay :)
Step-by-step explanation:
Answer:
What is your question?
Step-by-step explanation:
One is 5% of what number? Plz help best answer gets a Brainly thing
Answers
HELP u may need to draw it out for me
Answers
the formula for calculating speed is DISTANCE divided by TIME equals SPEED (d/t=s). This is called an object's?
Answers
Answer:
speed
Step-by-step explanation:
it's literally stated in the question
THANKS SO MUCH HELP FAST
Answers
Answer:
381
Step-by-step explanation:
4x4x4x4 (4 to the fourth power) plus 125
Answer:
381
Step-by-step explanation:
HOPE THIS HELPS YOU OUT! BE THE FIRST TO COMMENT /FREE ON THESE COMMENTS TO GET A FREE BRAINLIY AWARD! PLZ ALSO CONDISER MARKING ME BRAINLIEST AND THANKS! MY JOURNEY HAS JUST BEGAN ON BRAINLY SO ASK ME IF U HAVE ANY QUESTIONS! -BEACHVIBES23
HELP ASAP!! WILL gIVE BRAINLIEST Which statement best explains the effectiveness of the conclusion paragraph?
Answers
Let me know if it’s wrong
Answer:
I believe the answer is D
Step-by-step explanation:
I believe it is D because the author does restate the thesis and has powerful reasoning
Question 8 of 10
What is the solution to the division problem below? (You can use long division
or synthetic division.)
x3 - 2x - 14x + 3 /
X +3
A. x2 - 7x + 1
B. x2 - 6x + 1
c. x2 - 6x + 1
D. x - 8x+1
Answers
Answer: x^2-5x+1
Step-by-step explanation:
A P E X
Which list accurately sorts the sequence of events that preceded the United States' entry into World War II?
The Germans invaded Poland; the Germans conquered Britain; Japan attacked Pearl Harbor, the United States declared war on Germany and Italy.
The Germans conquered France; the Germans invaded the Soviet Union; Japan attacked Pearl Harbor; the United States declared war on Japan.
The Germans invaded the Soviet Union; the Italians joined the Axis powers, the United States sent military assistance to Britain; the Germans and Italians declared war on the United States.
The Germans conquered France; Japan attacked Pearl Harbor; the Germans invaded the Soviet Union; the United States declared war on Japan and Germany
Answers
♡ The Question ♡
-Which list accurately sorts the sequence of events that preceded the United States' entry into World War II?
* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧
* ♡ The Answer ♡
-The Germans conquered France; the Germans invaded the Soviet Union; Japan attacked Pearl Harbor; the United States declared war on Japan.
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-The Germans conquered France and invaded the Soviet Union before the Japanese attacked Pearl Harbor and the United States entered World War II.
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧
*♡ Tips ♡
-No tips provided!
The Germans conquered France; Japan attacked Pearl Harbor; the Germans invaded the Soviet Union; the United States declared war on Japan and Germany is correct list.
What is World war?A world war is an international conflict which involves all or most of the world's major powers.
The correct sequence of events that preceded the United States' entry into World War II is:
The Germans conquered France; Japan attacked Pearl Harbor; the Germans invaded the Soviet Union; the United States declared war on Japan and Germany.
Therefore, the correct list that accurately sorts the sequence of events is:
The Germans conquered France
Japan attacked Pearl Harbor
The Germans invaded the Soviet Union
The United States declared war on Japan and Germany.
Hence, the Germans conquered France; Japan attacked Pearl Harbor; the Germans invaded the Soviet Union; the United States declared war on Japan and Germany is correct list.
To learn more on World war click:
https://brainly.com/question/1472028
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When The length of each leg is 1 unit, the ratio of the hypotenuse to the leg is?
Answers
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Both legs are equal, which implies the triangle is a 45-45-90.
The hypotenuse of this triangle is: [tex]\sqrt{2}[/tex]
PLEASE HELP ME PLEASE
Answers
Answer:
3. 9 3/5
6. 4 3/5
Step-by-step explanation: