Answers
Answer:
Step-by-step explanation:
a). By applying tangent rule in the triangle,
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{3}{4}[/tex]
θ = [tex]\text{tan}^{-1}(\frac{3}{4})[/tex]
θ = 36.87°
Therefore, θ < 45°
b). By using cosine rule in this triangle,
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{18}{18\sqrt{2}}[/tex]
cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]
θ = 45°
c). By using tangent rule,
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{8}{2}[/tex]
θ = [tex]\text{tan}^{-1}(4)[/tex]
θ = 75.96°
θ > 45°
Related Questions
Can someone help plz
Answers
Answer:
See explanation
Step-by-step explanation:
x f(x)
-2 -5.9375
-1 -5.75
0 -5
1 -2
2 10
x intercept : -5
y intercept : -6
Evaluate for f(-2).
f(x) = 8x-10
Answers
Answer: f(-2) = -26
Step-by-step explanation:
Substitute -2 in x, it would look like:
8(-2) - 10
-16 - 10
= -26
A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 3 : 4. Find the number of blue marbles in the bag.
Answers
Answer:
16
Step-by-step explanation:
3 divided into 12 =4
4x4=16
4 divided into 16 =4 so 16
. Find four consecutive odd integers such that the sum of the first and fourth is 55 greater than the opposite of the third.
Answers
Answer:
The four consecutive odd integers = 15, 17, 19, 21
Step-by-step explanation:
Four consecutive odd integers in Mathematics when x is an integer is given as:
x , x + 2 , x + 4, x + 6
Where:.
First integer = x
Second integer = x + 2
Third integer = x + 4
Fourth integer = x + 6
The sum of the first and fourth is 55 greater than the opposite of the third
Hence :
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
Collect like terms
2x + x = 51 - 6
3x = 45
x = 15
Therefore,
First integer = x = 15
Second integer = x + 2 = 15 + 2 = 17
Third integer = x + 4 = 15 + 4 = 19
Fourth integer = x + 6 = 15 + 6 = 21
The four consecutive odd integers = 15, 17, 19, 21
A company paid $48 for 2 cases of printer paper./Each case contained 12 packages of paper./ Next month the company's office manager needs to order 180 packages of the same paper./ If the price per package does not change,/ what would be the total cost of next month's order?
Answers
Answer:
$360
Step-by-step explanation:
Calculation for what would be the total cost of next month's order
First step is to calculate how much they paid per the two cases of printer papers
Two cases of printer paper=$48 /2
Two cases of printer paper=$24 per case
Second step is to calculate the cost of each package of printer paper
Cost of each package of printer paper=$24/12 packages of paper
Cost of each package of printer paper=$2
Last step is to calculate the total cost of next month's order
Total cost=180 packages*$2
Total cost=$360
Therefore what would be the total cost of next month's order is $360
I WILL GIVE YOU BRAINLY PLSSS
The longest suspension bridge in the world is the Akashi Kaikyo Bridge in Japan. Its main
span is 1,290 feet longer than a mile. A mile is 5,280 feet.
Calculate the length of the Akashi Kaikyo Bridge.
A. 3,990 feet
B. 6,400 feet
C. 4,049 feet
D. 6,570 feet
PLSSS SHOW YOUR WORK PLSSS
Answers
5280 + 1290= 6570
I need help please help me pu
Answers
Answer:
D: x=12
Step-by-step explanation:
f(3) if f(x) = 2x + 4
Answers
You substitute “x”for “3” so the equation would be 2(3) + 4. Then you multiply 2 and 3, which is 6. Finally add the 4 to get 10.
PLS HELP MEEEEE
Exponents
Answers
Answer:
331.66
Step-by-step explanation:
125(1.05)^20
2(x+2)^2-5=8 solve using square roots
Answers
Answer:
x=[tex]\sqrt 26[/tex]/2-2
Step-by-step explanation:
Hello does anyone know how to figure this out? - 3(4 + x) = x + 6
Answers
Answer:
-4.5
Step-by-step explanation:
-12-3x=x+6
-4x=18
x=-4.5
Answer:
-4.5=x
Step-by-step explanation:
First you would distribute the -3 to the 4 and x inside the parentheses
It would be -3 x 4= -12
Then -3 x X= -3x
So your equation would now be -12+ -3x = x + 6
Now you add 3x to the -3x to cancel it out and then add it to the x
So your equation now looks like -12=4x +6
Then you subtract 6 from the 6 to cancel it out and add it to the -12
Now your equation looks like -18=4x
Then you divide 4 from the 4x to cancel it out and then divide 4 from the -18
Finally you have -4.5=x
I'm unsure if this is correct but hopefully this helps :)
the width of a rectangle is fifteen feet less than the length . if the area of the rectangle is 54 square feet , find the width .
a. 3 ft
b. 6ft
c. 9 ft
d. 18 ft
Answers
Answer:
A
Step-by-step explanation:
A. 3 x 18 = 54
B. 6 x 21 = 126
C. 9 x 24 = 144
D. 18 x 33 = 594
what element is 1s22s22p63s23p63d104s1
Answers
Answer:
Copper
Step-by-step explanation:
Count the exponents and this tells you the proton amount (atomic number)
and electron count
This is the electron configuration
Answer: copper
Step-by-step explanation: 1s22s22p63s23p63d104s1 is the election configuraction
13. What is the algebraic notation of a figure is Translated 9
units right and 3 units down?
Answers
your x value tells you how far right or left you’re going
and the y value tells you how far up and down you’re going
Can you answer at least one
Answers
Answer:
15. 88%
Step-by-step explanation:
I did division
Answer:
16. is 11550
Step-by-step explanation:
A car travels for 18 minutes at an average speed of 72 km/h.
(a) How far will the car travel in these 18 minutes?
appel
Answers
Answer:
~21.6 miles
Step-by-step explanation:
72:1 is 72mph
18 min is 30% of a hour
72 times .3
Find the slope of the line that passes through (8,4) and (6,5)
Answers
Answer:
-1/2
Step-by-step explanation:
The equation for slope is y2 - y1 and x2 - x1. So you do 5(y2) - 4 (y1) which is 1. And 6(x2) - 8(x1) which is -2. Put 1 as the numerator and -2 as the denominator as you got -1/2. The fraction is negative because the -2 made it that way
what is the range of this function?
Answers
Step-by-step explanation:
The absolute maximum of the function is y = 4, at (3, 4).
Both ends of the function point downward, which stretches to negative infinity.
Hence the range is -infinity < y <= 4. (D)
Estimate 73% of 23.95
Answers
Answer: 304.8
Step-by-step explanation;
7300:23.95 = 303.8
Answer:20
Because I looked it up
If you know the answer to this, pls let me know! Thanks!!!! :))))
Answers
Answer:
x= 30
Step-by-step explanation:
3x + 50 = 140
3x = 140 -50
3x = 90
x = 90/3
x = 30
Answer:
x = 30
Step-by-step explanation:
The given angles are vertical and congruent , then
3x + 50 = 140 ( subtract 50 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30
How many solutions does the equation have -2 (-4x + 7) = -2 + 4x One Solution Infinite Solutions No Solution?
Answers
-2(-4x+7)=8x-14=-2x+7
8x-4x-14=-2
4x=-2+14
4x/12
X=3
If yall help me with all the answers ill give you 32 points. Ik this is easy but I'm too lazy to do this. someone help me, please.
Answers
Answer:
100-both
75-5
565- 5
2815- 5
10050- both
57- 3
1365- 3
14- 2
81- 3
3850- 2
333- 9
1125- 9
448- 8
630- 9
5496- 8
114- 6
21,750- 6
3580- 4
2528- 4
944- 4
Step-by-step explanation:
. 4/2y - 31 - 1 = 11
Answers
Answer:
the correct answer is
y = 42
hope this helped :)
Sharon wants to buy a shirt that costs $70. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt?
Answers
Answer:
sales tax is $3.50.
She would have to pay $73.50
Step-by-step explanation:
5% of 70 is 3.5 (sales tax)
70+3.5= 73.5
Find the approximate area of the shaded region of the figure below.
Answers
Identify the slope and p-intercept of the
equation 2x + 5y = 20
Answers
Answer:
slope: -2/5
y-intercept: (0,4)
Step-by-step explanation:
A square parking lot has an area of 12,996 square yards. a. What is the length of one side of the parking lot? b. How many yards of fence will it take to enclose the entire parking lot?
Answers
Answer:
114 yards
456 yards
Step-by-step explanation:
Given that:
Area of square parking lot = 12,996 square yards
The lenght of one side of the parking lot :
Area of a square = a² ; a = side length
Hence ;
12996 = a²
√12996 = a
114 = a
Hence, length of one side = 114 yards
Yards of fence needed to enclose parking lot :
Perimeter of a square = 4a ; a = side length
Perimeter = 4(114)
Perimeter = 456 yards
Please help me im very depressed and im struggling a lot on my math and i really need some answers
Which number sentence is true?
Answers
Answer:
A 8.565 < l-13.23l
Step-by-step explanation:
Because the brackets makes the -13.23 positive
Which angle or angles are co-terminal with 175 degrees? All angles below are in degrees. (Select all that apply.)
-185
-175
5
355
535
895
Answers
PLEASE HELP URGENT‼️‼️
Tonia was simplifying the expression: (3x)2 . x4. She wrote 3x8 as the
simplest form.
——————————————
Part A) Simplify the problem correctly.
——————————————
Part B) Describe the error(s) that Tonya made.
Answers
Part A
(3x)^2*x^4
(3x)*(3x)*x^4 .... expand out (3x)^2
(3*3)*(x*x*x^4)
9x^6
Answer: 9x^6
============================================
Part B
It appears that Tonya forgot to square the 3 term and had this as her steps
(3x)^2*x^4
3x^2*x^4
3x^(2*4)
3x^8
Which is incorrect as the answer in part A indicates.
Not only is the '3' part wrong, but also the exponent of 8. Instead of multiplying the exponents, she should have added them.
The rule is a^b*a^c = a^(b+c). In this case, a = x, b = 2 and c = 4.
So x^2*x^4 = x^(2+4) = x^6