James and Padma are on opposite sides of a 100-ft-wide canyon. James sees a bear at an angle of depression of 45 degrees. Padma sees the same bear at an angle of depression of 65 degrees.
What is the approximate distance, in feet, between Padma and the bear?
A
21.2ft
B
75.2ft
C
96.4ft
D
171.6ft
The approximate distance, in feet, between Padma and the bear will be 75.2 feet. Then the correct option is B.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
James and Padma are on inverse sides of a 100-broad gulch. James sees a bear at a point of discouragement of 45 degrees. Padma sees a similar bear at a point of discouragement of 65 degrees.
Let 'x' be the horizontal distance from bear to Padma. Then the equation is given as,
(tan 45°) (100 - x) = (tan 65°) x
100 - x = 2.1445x
100 = 3.1445x
x = 31.80 feet
Then the approximate distance, in feet, between Padma and the bear will be given as,
cos 65° = 31.80 / d
d = 75.2487
d ≈ 75.2 feet
The approximate distance will be 75.2 feet. Then the correct option is B.
More about the right-angle triangle link is given below.
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Please help me. I’ve been stuck on this question forever.
Answer: they are 3 miles apart
Step-by-step explanation:
Answer:
9 miles
Step-by-step explanation:
The hours on a clock face are 30° apart. What is the angle a line from two o’clock to six o’clock makes with a horizontal line?
Distance=Speedx Time
Speed=Distance/Time
Time = Distance/Speed
1)D=200 km
S=80 km/hr
T=?
2)D=?
S=20km/hr
T=3.5 hr
3)D=150 km
S=60 km/hr
T=?
4)D=?
S=80 km/hr
T=1 1/4
5)D=240 km
S=?
T=2.5 hr
paki answer po :)
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8. Sven sells hamburgers at a ballpark. He earns $14.50/h, plus $0.50
for each hamburger he sells.
a) How much will Sven earn in a 3 hour shift if he sells 24
hamburgers?
b) How many hamburgers must Sven sell to earn $120 in a 6.5 hour
shift? (round to the nearest burger)
Answer:
Part A: $55.50
Part B: 52 hamburgers(sorry if I am wrong for part b but I think it is right)
Step-by-step explanation:
Part A: $14.50 x 3= $43.50 + 24 x $0.50= $12=
($ earned per hrs x hrs worked)+ ($ per hamburger sold x times amount)
Hence $43.50 + $12= $55.50.
Part B: $14.50 x 6.5 = $94.25 $120 - $94.25= $25.75
($ earned per hrs x hrs worked x x hrs worked) ($ earned - $ earn from shif
$25.75/0.50=51.5 (51.5 rounded to nearest burgers is 52 burgers)
Hence answer is 52 burgers.
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Thank You
Can someone help me on this pls?
Answer:
[tex]B)Center:(7,2)~~radius=\sqrt{10}[/tex]
-------------
[tex](x-h)^2+(y-k)^2=x^2[/tex]
[tex]h=7~,k=2[/tex]
[tex]Center~(h,k)=(7,2)[/tex]
[tex]r^2=10[/tex]
[tex]r=\sqrt{10}[/tex]
[tex]radius=\sqrt{10}[/tex]
---------------------
hope it helps...
have a great day!!
A large cat at the zoo need to eat at least 14 pounds of raw meat each day. The zoo feeds the cat using cainsters that each contain 1.75 pounds of food.The cat has already consumed 3.5 pounds of food. How many more canisters xX does the cat need to consume? Write your answer as an inequality.
Answer:
14 ≤ 3.5 + 1.75c
Step-by-step explanation:
c = # canisters
14 ≤ 3.5 + 1.75c
10.5 ≤ 1.75c
c ≥ 6
How do you find the measure of an interior angle?
Answer:
Step-by-step explanation:
The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.
? x 26= 17 7/8.
By: Britney
please help me i am trying to get al over do work turned in
Answer:
expanding
commutative prop
factorisation
simplifying
Step-by-step explanation:
The distributive property states that a(b+c) is equal to ab+ac and (a+b)c is equal to ac+bc. The commutative property states that a+b=b+a.
Armin has 3 flower gardens and bought 5 bags of cedar mulch to cover the gardens. Armin used 1 1/2 bags of mulch on each garden. How much mulch does Armin have left? Show your work.
Answer:
1/2 bags
Step-by-step explanation:
Armin has 3 flower gardens
She boughth 5 bags of celdar mulch to cover the garden
Armin uses 1 1/2 bad of much on each garden
1 1/2
3/2×3
= 9/2
The bags of celdar mulch left can be calculated as follows
5-9/2
= 10-9/2
= 1/2
Hence there are 1/2 bags of celdar mulch left
Mr. Buchanan can clean his apartment in 12 hours. (He's not very fast.) With Mrs. Buchanan's help, they can clean the apartment in 4 hours. How long would it take Mrs. Buchanan to clean the apartment alone? Time=_____ Hours
Answer:
2 hours
Step-by-step explanation:
Answer:
2 hours
Step-by-step explanation:
A bead is chosen randomly from a cloth bag. If 40% of the beads are spheres, and 30% of the spheres are blue, what's the probability of choosing a blue sphere?
Answer: 12%
Step-by-step explanation:
To find the probability of picking not only a sphere but one that is blue as well, you need to multiply the probabilities of both events because this would show the probability of getting the second event if the first is gotten:
= Probability of sphere * Probability that sphere is blue
= 40% * 30%
= 12%
12
The net below is used to form a rectangular prism. What is the surface area of the prism?
4 cm
10 cm
10 cm
4
cm
cm
17 cm
4 cm
A. 322 sq. cm
B. 444 sq. cm
C. 556 sq. cm
D 28 sq. cm
Answer:
d
Step-by-step explanation:
(X+1,8)=(3,2y) please can u send the pic to me I really need it
Answer:
x = 2, y = 4
Step-by-step explanation:
Given
(x + 1, 8 ) = (3, 2y )
Equate the values in the x and y positions , that is
x + 1 = 3 ( subtract 1 from both sides )
x = 2
and
2y = 8 ( divide both sides by 2 )
y = 4
Answer:
(X+1,8)=(3,2y)
equating corresponding value we get
x+1=3
x=3-1=2
again
8=2y
y=8/2=4
x=2
y=4
In his free time, Gary spends 8 hours per week on the Internet and 8 hours per week playing video games. If Gary has five hours of
free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
OA.
13%
OB
3%
OC.
46%
OD 32%
PLEASE HELP!! NO LINKS!! GIVING 20 POINTS AWAY!!
Answer:
m∠N = 32°
NQ = 106°
When finding inscribed angles like ∠N with the intercepted arc, the equation is ∠N=1/2MP. (Inscribed angles are always half the degree of the arc length.) Plug in the corresponding value to get ∠N=1/2(64) to get 32°. When finding the angle of the intercepted arc with inscribed angles like NQ, the equation is NQ=2(∠P). Plug in the corresponding value to get 2(53) to get 106°.
A math teacher in a middle school surveyed a random sample of students about their
favorite type of food. The table shows the number of students who selected each type
of food.
Based on the information in the table, which inference about the favorite type of food of
all students appears to be valid?
Please help WILL MARK BRAINLY
Answer: c is your answer hope this helped
plz make brainly
Step-by-step explanation:
a) (x, y) = (5,6)
c) ( ) = (35)
e) (x + 1, 8) = (3, 2y)
g) (x - 2, y + 1) = (4, 2y)
i) , 3) = (3, + 1)
k) (2x + y, 3) = (5, 3y)
ng ordered pairs.
b) (x + 2, y - 1) = (2, 3)
d) (3x, 8) = (12, y - 1)
f) (2x + 1, y - 2) = (1, 2)
1 5
2 3
j) (x + y, x - 3) = (8, 4)
1) (2x + 3y, 2x) = (20, x + 4)
b) ( x + 1) =(2,
)
30 PTS if you can answer these all and a brain list matk
Answer:
hope this helps you look it once.
Find the selling price of each item. Show work for full credit.
Original Price of a truck: $47,500
Discount: 45%
Answer:26,125 is your answer
Step-by-step explanation:
Answer:
$26,125
Step-by-step explanation:
45% of 47,500 is 21,375
47,500 - 21,375 = 26,125
1.) Find the slope of the line represented by the table
2.) Find the y-intercept
need help asap
Answer:
3, 1
Step-by-step explanation:
Slope is rise/run, with the rise being the y increase, and x being the x increase.
Since the run represented is 3, and the rise is 9:
9/3 = 3
The y-intercept is the value of f(x) (which is y) when x = 0
since the equation of the line is:
f(x) = 3x + b
we need to go down 3 units of x since x = 0
3 x 3 = 9
10 - 9 = 1
b = 1
The y-intercept is 1.
Points F and G are located at (3, 2) and (-2,2) on a coordinate plane.
What is the distance between the two points?
38 x 97 help help help
Answer:
3686
Step-by-step explanation:
help nowwwwwwwwwwwwwwwwwwwwwwwwwwwww fast
Answer:
B.
Step-by-step explanation:
They have correctly plotted the table.
(Two players have shoe size 9 and two have shoe size 8 1/2)
The ratio of health club members who use trainers to those who do not
is 2:5. There are 342 members who use trainers. How many members
does the club have?
Answer:
Step-by-step explanation:
The anwser is 479 - 2:5 as a decimal is .4 , 342 x .4 is 126.8
342+126.8 = 178.8
round it and get 479
By using given ratio, Members does the club have are 1197.
What is ratio?"A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one."
We have,
Ratio of health club members who use trainers and who do not is 2:5.
Members who use trainers = 342
Members who does not use trainers
= [tex]\frac{342}{2}[/tex]×[tex]5[/tex]
= 171 × 5
= 855
Total members
= 855 + 342
= 1197
Hence, Members does the club have are 1197.
Learn more about ratio here
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The floor of a storage unit is 3 meters long and 2 meters wide. What is the distance between two opposite corners of the floor? If necessary, round to the nearest tenth.
Use the Pythagorean theorem:
Diagonal = sqrt(3^2 + 2^2)
Diagonal = sqrt(9+4)
Diagonal = sqrt(13)
Diagonal = 3.605
Rounded to the nearest tenth = 3.6 meters
I need help ASAP
A scatter plot is shown
What type of association does the graph show between x and y?
A Linear positive association
B Nonlinear positive association
C Linear negative association
D Nonlinear negative association
what is the plot 40,40 as a fraction
Answer:
1/2 or like 1/40
Step-by-step explanation:
Anne solved 6(2x) − 3 = 22x + 32 for x by first distributing 6 on the left side of the equation. She got the answer x = −5. However, when she substituted −5 into the original equation for x, she saw that her answer was wrong. What did Anne do wrong, and what is the correct answer?
Answer:
Anne made a mistake when she multiplied all the left side equation with 6
Step-by-step explanation:
6(2x)-3 = 22x+32
Distribute 6 only to the term within the parenthesis
12x - 3 = 22x + 32
Collect like terms
12x-22x = 32+3
-10x = 32+3
-10x = 35
divide both sides of equation by -10
x = -3.5
Si a -5 se le resta -8 Y al total se le agrega 2, ¿Que numero resulta?
Answer:
- 11
Step-by-step explanation:
- 8 - 5 + 2
- 13 + 2
- 11
Answer:
i think its -11
Step-by-step explanation:
creo que es -11