Answer:
Step-by-step explanation:
n = 3
Answer: n= 3
Step-by-step explanation:
i hope this helped :))
Gayle's hourly wage is $ 8.50. Gayle will be getting a 4% increase in pay at the end of the month. What will be Gayle's hourly wage after her pay increase?
Answer:
10.50
Step-by-step explanation:
Answer:
4 x 8.50
100
= 0.34
8.50 - 0.34 = 8.16
Step-by-step explanation:
a percentage is always over 100 so i 4 percent of 8.50 which gave me 0.34
Dont forget we are only focused on on the increase so we gotta subtract to make it normal from the original number which gives u 8.16...
Note dont forget it said an hour so multipy it by 1 hour since it said one hour which stills gives u the same answer
For positive acute angles A and B, it is known that cos A= 20/29 and tan B= 11/60. Find the value of cos(A + B) in simplest form.
Answer:
[tex]\displaystyle \cos(A + B) =\frac{969}{1769}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}[/tex]
Where A and B are positive acute angles.
And we want to find cos(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:
[tex]o=\sqrt{29^2-20^2}=21[/tex]
Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:
[tex]h=\sqrt{11^2+60^2}=61[/tex]
In summary:
With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.
With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.
We can rewrite our expression as:
[tex]\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B[/tex]
Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:
[tex]\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)[/tex]
Simplify:
[tex]\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}[/tex]
2×+7=17 find the value of x
Answer:
x = 5
Step-by-step explanation:
Given
2x + 7 = 17 ( subtract 7 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Jeremy received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14 left. Write the equation used to determine how much each game cost.
A.3x + 14 = 65
B.3x - 14 = 65
C.65 - 3x = -14
D.14 - 3x = 65
Answer:
i believe the answer should be
Step-by-step explanation:
3x+14=65 which is telling you that 3 times a number which is unknown so we will call it x and add 14 equals 65. when you work it out you should get the total which is 65. so the way you work that out is you separate everything without an x to the right side of the equation which looks like 3x=65-14 then work it out subtract 14 from 65 and you get 3x=51 )which is total spent on 3 games. Then you divide 3x/3= 51/3 then the 3s cancel our so you have x=51/3 and when you work that out you get your answer x=17 which is the cost per game.
PLEASE HELP!!!
ABC maps the outline of a new park. What is the area of the park?
the multiple choice answers are in the photo
Answer:
[tex]Area = 10[/tex]
Step-by-step explanation:
Given
[tex]A = (2,1)[/tex]
[tex]B =(4,7)[/tex]
[tex]C =(6,3)[/tex]
Required
The area of the park
The outline is a triangle and as such, the area is calculated using:
[tex]Area = \frac{1}{2}|(x_1y_2 - x_2y_1) + (x_2y_3 - x_3y_2) + (x_3y_1 - x_1y_3)|[/tex]
This gives:
[tex]Area = \frac{1}{2}|(2*7 - 4*1) + (4*3 - 6*7) + (6*1 - 2*3)|[/tex]
Using a calculator, we have:
[tex]Area = \frac{1}{2}|-20|[/tex]
Remove absolute bracket
[tex]Area = \frac{1}{2}*20[/tex]
[tex]Area = 10[/tex]
Which best describes the number
71
sara spent $ 2.30 on sweets , $ 3.20 on a pencil and $ 9.15 on an excerise book . What steps would you use to find out much less than $ 15.00 sara spent
help me please this is urgent!
Answer:
D.
Step-by-step explanation: they can be different widths
Enter the range of values for x:
B
15
2x - 10
С
48°
A
18
[?]
Enter
=========================================
Explanation:
Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.
So 2x-10 < 48
At the same time, 2x-10 is also larger than 0.
Overall, we can say 0 < 2x-10 < 48
---------
Let's solve for x
0 < 2x-10 < 48
0+10 < 2x < 48+10 ...... add 10 to all sides
10 < 2x < 58
10/2 < x < 58/2 ..... divide all sides by 2
5 < x < 29
you don’t have to tell me the answer i just dk what to do for this problem
Answ either
Step-by-step explanation:
anyone have the answer for this
[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:5.10\:km.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\ ⇢ ( {5 \: km})^{2} + ( {1 \: km})^{2} = ( {c})^{2} \\ ⇢ 25 \: {km}^{2} + 1 \: {km}^{2} = {c}^{2} \\ ⇢ 26 \: {km}^{2} = {c}^{2} \\ ⇢ \sqrt{26 \: {km}^{2} } = c \\ ⇢5.0990 \: km = c \\ ⇢5.10 \: km = c[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:5.10\:km.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {5 \: km})^{2} + ( {1 \: km})^{2} = ( {5.10 \: km})^{2} \\ ⇝25 \: {km}^{2} + 1 \: {km}^{2} = 26 \: {km}^{2} \\ ⇝26 \: {km}^{2} = 26\: {km}^{2} \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
hey! i’ll give brainliest please help
Answer:
The 4th answer
Step-by-step explanation:
Answer:
D
hope this helps
have a good day :)
Step-by-step explanation:
Please someone help me ?!?!?
Answer:
I believe it would be B. SAS
Step-by-step explanation:
You have two sides and one angle that are congruent in both
1 in : 3 ft the center is 45 feet long and 28 feet wide
Answer:
Step-by-step explanation:
Please help me solve!!
Find the exact area of the shaded region.
120°
24 m
O A. (192 - 144)m2
OB. (192 - 14413 )m2
O C. (8 - 14413 )m?
O D. none of the above
I dont get this. please help
Answer:
Step-by-step explanation:
All of these are done exactly the same way so I will work out one of them for you, and you can follow my example to get the answers to the rest of them. I will do #5. The formula for this is
7(7 + x) = 8(8 + 13) and then solve the equation to find x:
49 + 7x = 168 and
7x = 119 so
x = 17.
Follow that pattern for each of your problems and you should be fine.
Find the surface area of the pyramid represented by the net. 5.5 cm 5 cm 5 cm
Answer: I think the answer is 25 units squared
Step-by-step explanation:
A= l*w
A= 5*5
A=25^2
Answer: I think it's 80
Your house had a value of $480,000 and increased in value by 3.5%. How much is your house
worth now?
Answer:
$496800
Step-by-step explanation:
You need to find 3.5% of 480,000 and then add it to 480000:
You convert 3.5% to 0.035 (divided by 100).
Now you multiply 0.035 * $480,000 = $16800 (this is the amount of money to add to the value of the house)
Total value of the house: $480,000 + $16,800 = $496800
A psychologist is interested in determining whether a new treatment for depression improves (decreases) depression scores. She randomly assigns 30 subjects to the treatment and 30 subjects to the control. At the conclusion of the study she uses an independent t-test to evaluate whether the groups differ on a widely used depression scale that ranges between 0 and 30. The treatment group mean is 18 and the control group mean is 22. What is the null hypothesis for the analysis
Answer:
Mean Hypothesis is Mean values of the treatment and the control group is not equal
Step-by-step explanation:
The null hypothesis is mostly the problem statement.
Here the problem statement is
To check whether there is a difference in treatment result of two groups of patient; one which has received the treatment and the other is the control group.
Thus, the null hypothesis is
H0 - Mean values of the treatment and the control group is not equal
2. A guy wire is attached to the top of a radio tower to help support it. The tower
is 72 feet tall and the wire is attached to the ground 50 feet from the midline of
the tower. Find the length of the guy wire to the nearest foot.
Which pair of angles has congruent values for the sin x° and the cos y°?
A) 42°, 138°
B) 42°, 48°
C) 42°,132°
D) 42°, 42°
Answer:
B: 42°, 48°
Step-by-step explanation:
I took the test.
The pair of angles have congruent values for the sin x° and the cos y° is 42; 48.
What are congruent angles?Angles that are of the same measurement are called congruent.
Suppose that two angles ∠A and ∠B are of the same measure,
then
[tex]m\angle A = m\angle B[/tex]
is the notation to say that they are of the same measurement, where the small m shows that its the measurement of the angles they're preceding.
We write the congruency between them as;
[tex]\angle A \cong \angle B[/tex]
Congruent angles can be defined as a type of angle that is known to have all sides in equal measure.
sin x = cos (90-x)
therefore, sin 42 = cos(90-42)
= cos 48
Hence, option B) 42°, 48° is correct
Learn more about congruent angles ;
brainly.com/question/2938476
#SPJ2
pls helppp
1/2•7•24=
Answer:
84
Step-by-step explanation:
0.5 · 7 · 24
0.5 · 168
84
Answer:
84
Step-by-step explanation:
Step 1: Convert number to a fraction
[tex]24=\frac{24}{1}[/tex]
[tex]\frac{1}{2}\times \frac{24}{1}\times \:7[/tex]
Step 2: Factor the number
[tex]\:24=2\times \:12[/tex]
[tex]\frac{2\times \:12}{2}\times \:7[/tex]
Step 3: Cancel the common factor
[tex]2[/tex]
Step 4: Multiply the remaining numbers
[tex]12\times \:7\\\\= 84[/tex]
Therefore, [tex]\frac{1}{2}\times 7\times 24\:=\:84[/tex]
Find the surface area of the cylinder.
Answer:
exact: 48pi cm^2
approximate: 150.8 cm^2
Step-by-step explanation:
SA = 2 * (pi)r^2 + 2(pi)rh
SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm
SA = pi(18 cm^2 + 30 cm^2)
SA = 48pi cm^2
SA = 150.8 cm^2
What is the value of y in the diagram?
y
x
X-20
Answer:
x+x-20 = 180-90
2x-20 = 90
2x. =90+20
2x. =110
x. =55
y+55. =90
y. =90-55
y. =35
I NEED PLEASE IT WOULD REALLY HELP ME ALOT !!
NO LINK OR ZOOMS
Answer:
Step-by-step explanation:
Can someone please help me with this
Step-by-step explanation:
Therefore, 55+40+z=180
z=180-95
z=85
To get y,
z+y=180
85+y=180
y=95
The present ages of Ritu and Nitu are in the ratio15:8. After 10 years, their ages will be in the ratio 5:3 . Find their present ages.
Answer:
60 : 32
Step-by-step explanation:
Let x = Their present ages
Ritu : Nitu = 15x : 8x
After 10 years, their ages will be in the ratio 5:3
In 10 years
15x + 10 : 8x + 10 = 5 : 3
15x + 10 / 8x + 10 = 5/3
Cross product
15x + 10 * 3 = 8x + 10 * 5
45x + 30 = 40x + 50
45x - 40x = 50 - 30
5x = 20
x = 20/5
x = 4
Ritu : Nitu = 15x : 8x
Ritu : Nitu = 15 * 4 : 8 * 4
= 60 : 32
Ritu : Nitu = 60 : 32
It Says Minute At The End
Answer:
1.368
Step-by-step explanation: 1.14x1.2=1.368
Helpppp
No links plz
Answer:
the third one ig
Step-by-step explanation: