Answer:
24 km/hStep-by-step explanation:
The speed of the boat in the lake = xThe speed of the current = 3 km/hRequired equation:
54 / (x + 3) + 42 / (x - 3) = 96/x9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)9x² - 27x + 7x² + 21x = 16x² - 1446x = 144x = 144/6x = 24 km/hLT1 10th grade level
Answer:
The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;
[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] = [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex]
Step-by-step explanation:
From the question diagram, we have two triangles, ΔEAF and ΔABC;
The ratio of the lengths of the sides [tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] = [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex]
∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC
Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar
Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal
We have;
[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] = [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = 50 ft. /(100 ft.) = [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex] = [tex]\overline{EF}[/tex]/120 ft.
[tex]\overline{EF}[/tex] = 120 ft. × 50 ft./(100 ft.) = 60 ft.
[tex]\overline{EF}[/tex] = 60 ft.
The distance between the pirate and the treasure, [tex]\overline{EF}[/tex] = 60 ft.
WHATS TYE ANSWER TO ALL OF THESE! I NEED TO KNOW ASAP! PLEASE!
Answer:
[tex]x+3>27\\ x-8>12\\ 7x\leq 14\\ x+15\geq 4[/tex]
Evaluate 7^35 7^-21 7^-8
Answer:
117,649
Step-by-step explanation:
7^35 x 7^-29
= 7^6
=117,649
What is the area of this rectangle
Answer:
30 sq units
3 + 2 = 5
5 x 6 = 30
which histogram correctly display the information to the left?
Answer:
option 3 so the second to last
Answer:
b
Step-by-step explanation:
Find the value of x and y that will make each quadrilateral a parallelogram.
Answer:
6
Step-by-step explanation:
Answer:
x = 15, y = 7
Step-by-step explanation:
opposite angles are congruent in a parallelogram:
=> 3x + 4 = 7y
=> 3x - 7y = -4
the same-side interior angles of a parallelogram are supplementary angles, which means they sum to 180°:
=> 8x + 11 + 7y = 180
=> 8x + 7y = 169
add the two equation 3x - 7y = -4 and 8x + 7y = 169 to eliminate y and solve for x:
=> 3x - 7y = -4
8x + 7y = 169
+) ___________
11x = 165 => x = 15
plug x = 15 into one of the two equation to solve for y:
=> 3(15) - 7y = -4
=> 45 - 7y = -4
=> 7y = 49
=> y = 7
the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?
Answer:
30.17feet high
Step-by-step explanation:
Given the following
the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)
angle of elevation = 38°
Required
Height of the flagpole (opposite)
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 38 = H/49
H = 49sin38
H = 49(0.6157)
H = 30.17feet
Hence the flagpole is 30.17feet high
A school’s auditorium can hold a maximum of 450 people. The school is holding a talent show
where 35 students will perform. The school pre-sold 345 tickets to the show and will now allow
the performers to use the remaining tickets for their friends and family. If each student
performing in the talent show can invite the same number of guests, select all of the following
that represents the possible number of guests that arrive for each performer.
Answer:
Each can invite 2 guest
Step-by-step explanation:
345+ 35= 380
450-380 = 70
70/35=2
Answer:
Each performer can get 2 guests.
Step-by-step explanation:
There are 35 performers and 345 pre-sold tickets, so we just need to subract them from the amount of people that the stadium can hold. 450 - 35 - 345 = 70 people left
Since there is space for 70 more people, each performer can get (70/35) = 2 guests
A bag with 8 marbles has 2 blue marbles and 6 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in simplest form.
Answer:
there are no red marbles. so 0/8 is the probability
plz help and yes im lazy.
Answer:
38
Step-by-step explanation:
A=11
T=2
U=16
AxU (11x2)=22
22+16
38
38 is the final answer
Answer:
I think it would be 38
Step-by-step explanation:
v=16+11(2)
A map has a scale of 2 centimeters = 4 miles. Mary's drive to work is represented on the map as traveling 1cm north then 2.5 cm west. Which equation could be used to determine how many miles Mary drives to work?
648/180 reduced? In fractions
Answer: 18/5
Step-by-step explanation: hope this helps pls mark me brainliest
Plz help i have been asking this question too much
Answer:
6
Step-by-step explanation:
1/6 of 36 is 6
2/3 of 36 is 24
6+24=30
36-30=6
<3
Answer:
if u search your question on brainly you'll see alot of answers! here is one of them!!!
Round to the nearest tenth
1. Find x.
Answer:
x= 25.5 not rounded x=25.51393657
Step-by-step explanation:
Decide what trig ration you need/want to use. The 27 degrees are opposite of the 13 and adjacent to the x which means your ratio should be o/a or 13/x. The trig ratio needed is Tangent. Now you can write the equation as tan(27)=13/x and start solving.
tan(27)=13/x multiply the x on both sides and you'll have x * tan(27)=13 and decide which to put into your calculator and you'll get x=25.51393657 rounded as 25.5
Which fraction is the same as 4/8
Answer:
1/2 I believe is you answer darling
The perimeter of a rectangle is 13 cm and its width is 2 ¾ cm. Find its length in cm.
Answer:
length = 3 3/4
Step-by-step explanation:
13 = 2(2 3/4) + 2l
13 = 2(11/4) + 2l
13 = 22/4 + 2l
52/4 - 22/4 = 2l
30/4 = 2l
30/4 ÷ 2 = l
30/4 x 1/2 = l
30/8 = l
length = 15/4 or 3 3/4
Given that x = 7.4 m and θ = 31°, work out BC rounded to 3 SF
I NEED THIS ANSWER NOW
Answer:
59.0
Step-by-step explanation:
c=31
b=90
90+31=121
180-121=59
56 rounded to the nearest 3 sf=59.0
please mark as brainliest if correct
thank you
Answer:
12.333 m
Step-by-step explanation:
The ratio x/BC is the tangent of angle theta:
7.4
-------- = tan theta = 0.6
BC
7.4
Interchanging 0.6 and BC, we get BC = ------------ = 12.333 m
0.6
help I don’t know how I’m supposed to do this
Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
For this I think you should know what SOH-CAH-TOA is, if not here.
O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.
Equation time:
, we see that the x is on top so we just multiply....
[tex]cos36(10)[/tex]= 8.090
I hope this helps!
Factor completely x2 + 25. (1 point)
O (x + 5)(x + 5)
O (x + 5)(x - 5)
O (x - 5)(x - 5)
O Prime
math help pls answer
Answer:
-7 -4 0 1 7
Step-by-step explanation:
x=0
x²-49=0
x²=49
x=±7
x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0
x+4=0
x=-4
x=1
Which expression represents the phrase below?
8 less than the product of 6 and a number, x
8 - 6x B. 6x - 8
C. (6 + x) D. 8 - (6 + x)
Answer:
6x - 8 multiply 6 and x then subtract 8
PLS, I NEED HELP ASAP!!
Answer:
3x+18
Step-by-step explanation:
3 times x
3 times 6
3x
18
3x+18
An owl ate 3 mice. Prior to being eaten, the 3 mice together consumed a small block of cheese. The cheese contained 60 kJ of energy. How many kilojoules of energy from the block of cheese did the owl obtain after consuming the 3 mice?
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
it's a parallelogram.
Step-by-step explanation:
reason Since the vertically opposite angles are equal definitely the sides must be parallel to each other there by making it a parallelogram
1. $350 at 5% for 4 years
Answer:
425.43
Step-by-step explanation:
A = P(1+r)^n
A = 350(1.05)^4
If the three lengths form a triangle, then determine if the three lengths form an acute, right, or obtuse triangle. Show your work.
Answer: Acute Triangle.
Step-by-step explanation:
3 square root 15 + 16 + 11 = 38.6189500386 degrees ughhhh why does this exist.
An acute triangle is less than 90 degrees so this an acute triangle.
BRAINLIEST BRAINLIEST BRAINLIEST PLEASE ANDSER IT IS TIMED THANK YOU SO MUCCH
Answer:
x=-b/2a
Step-by-step explanation:
hope that helps :)
mark as brainliest please :)
Answer:
The axis of symmetry is x
Give brailiest, i gave you correct answer
Factor completely. 5x^2-20x+20=5x 2 −20x+20
Step-by-step explanation:
5x^2 - 20x + 20 = 5x^2 - 20x + 20
5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)
(5 + 5) (x^2 - 4x + 4)
I need help on this math problem
Answer:
x+66+55=180(being sum of the angle of triangle=180degree
x=180-121
therefore, x=59
plz give me thanks
Answer:
All triangles have angles that add up 180 degrees.
So Angle x = 180 - 55 -66
which equals 59 degrees.
Step-by-step explanation:
!!!!!URGENT!!!!FIND THE SLOPE
A. 3
B. - 3
X
O
12
14
6
D.
Answer:
3-2/6-3 =1/3
So the answer is 1/3'c'