Answer:
Base= 6
Height= 10
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Let the base be 3x and the height be 5x.
Given that the area is 30,
½ ×base ×height= 30
½(3x)(5x)= 30
Multiply both sides by 2:
3x(5x)= 60
15x²= 60
x²= 60 ÷15
x²= 4
Square root both sides:
[tex]x = \sqrt{4} [/tex]
x= 2
(reject x= -2 since length has a positive value)
Length of base
= 3x
= 3(2)
= 6
Length of height
= 5x
= 5(2)
= 10
Evaluate the expression. 4^2−3⋅4+7 Enter your answer in the box.
The answer is:
11
Hopefully this is right
Answer:
11
Step-by-step explanation:
[tex]4^{2}[/tex]-3*4+7 = 16 -12+7 = 4+7 = 11
There are 31 students in a class.
The only languages available for the class to study are French and Spanish.
17 students study French.
15 students study Spanish.
6 students study neither French nor Spanish.
Using a Venn diagram, or otherwise, work out how many students study only one
language.
Answer:
32
Step-by-step explanation:
32 students only study 1 language. I know this because 17+15=32
help plz for brainliest
I need help with this math problem
Answer:
F(x)=(x+6)^2
Step-by-step explanation:
Hope this helps!
Which best describes the association between variables x and y
Please help please help please help please help
For your question you can try option #3
Simplify the linear expression. −2x+3(−5x+1) Enter your answer in the box.
you will get brainiest
Answer:
3/17
Step-by-step explanation:
-2x + 3(-5x + 1)
-2x -15x +3
-17x + 3
17x = 3
x = 3/17
When a truck full of boxes arrives at the Silvergrove Post Office, Miguel unloads the truck by placing the boxes
on a conveyor belt. Miguel's coworkers are impressed with how fast Miguel does his job. Miguel can unload 10
boxes in 5 minutes. How long does it take him to unload 40 boxes?
Answer:
20 minutes
Step-by-step explanation:
If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.
I found this by dividing 40 (boxes) by 2 (min per box)
weak spots on a human body
Answer:
eyes
Step-by-step explanation:
Answer:
the heart the brain the eyes
Step-by-step explanation:
the ratio 4:2 is equivalent to 2
To make pastry for an apple pie, you need 4 oz flour and 2 oz fat. The ratio of flour to fat is
4 : 2 .
But this ratio can be simplified in the same way that two fractions can be simplified. We just
cancel by a common factor. So
4 : 2 = 2 : 1 .
73,498 to the nearest thousand
Answer:
73,000
Step-by-step explanation:
if the hundred is smaller than 500, you round down, if it's larger then round up :)
To solve the following equation for k using the quadratic formula, what value would you substitute for b?
3k2 = 4k + 7
For this case we have a quadratic equation of the form:
ax² + bx + c = 0
Rewriting the equation we have:
3k² -4k - 7 = 0
So we have to:
a = 3
b = -4
c = -7
The solutions will come from:
k = -b±√b²-4(a)(c)/2(a)
Thus, the value of "b" is -4
Answer:
b = -4
Answer: -4
Step-by-step explanation:
i took the quiz its -4
Solve the equation if 0°≤x≤360°*tan x =√3
Answer: This is a trig relationship from one of our special triangles, the 30-60-90 triangle.
Tan x = the opposite side of angle x divided by the adjacent side of angle x
The tangent is √3 when x = 60° or π/3
However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?
This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)
***I am assuming that the negative sign should be outside of the square root sign***
(( BRAINLISET QUEATION ))
The temperature of a room is -4 degree Celsius. The temperature of the heater is 16 degree Celsius. How many degrees more than room temperature is the heater?
Answer:
Step-by-step explanation:
Under steady state condition heat released to the room=heat dissipated out of the room Let θ be the temperature of heater Then
θ−20=α[20−(−20)] .(i)
and θ−10=α[10−(−40)] .(ii) Solving Eqs. (i) and (ii) we get
we get
θ=60∘C
Click on the graph to draw a trapezoid with right angles at (0, -7) and (8,−7), another vertex at (8,0), and a vertical base of 16 units
Step-by-step explanation: It already tells you three of the coordinates. From plotting those, just create a vertical line from (0, -7) up that is equal to 16 and connect that coordinate with (8, 0).
A fair die is rolled 10 times, what is the probability to get 4 ones.
Answer:
7/128
Step-by-step explanation:
ecuacion primer grado para hoy 7x+2=8x+5
Answer:
[tex]7x + 2 = 8x + 5 \\ collecting \: like \: terms \: \\ 7x - 8x = 5 - 2 \\ - 1x = 3[/tex]
(ecuacion primer grado para hoy. ). what does this mean..
Answer:
7x+2=8x+5Recopilar términos semejantes
7x - 8x = 5 - 2-1x = 3x = 3/-1x = - 3/////////////////////////////////////////////////
Answer:
341Step-by-step explanation:
We observe the pattern:
1, 5, 13, 25, ..It can be put as:
0 + 1, 1 + 4, 4 + 9, 9 + 16, ..or
0² + 1², 1² + 2², 2² + 3², 3² + 4², ..The nth term is going to be:
(n - 1)² + n²The sum of the 31 terms will be:
N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²or
N = 2(1² + 2² + 3² + ... + 30²) + 31²Use the formula for sum of the first n squares:
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6The sum N equals:
N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²And the value of N/31 is:
10*31 + 31 = 341Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.
nothing yw listen to your teacher
x / 2.5 = 10
plz helppp
Answer:
x=25
Step-by-step explanation:
HELppppppppppppppppp
9514 1404 393
Answer:
40 -8p -3w$4Step-by-step explanation:
Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.
40 -8p -3w . . . . represents the money remaining
For p=3 and w=4, this evaluates to ...
40 -8(3) -3(4) = 40 -24 -12 = 4
Ms. Liu will have $4 left after her purchase.
the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the answer in the form a√2 + b√3 where a and b are both integers.
The area of the cylinder is a function of its height (h) and radius, ([tex]\mathbf{4\sqrt 3}[/tex])
The exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]
The given parameters are:
[tex]\mathbf{Area =56\pi\sqrt 6}[/tex]
[tex]\mathbf{r=4\sqrt 3}[/tex]
The surface area of a cylinder is calculated as:
[tex]\mathbf{Area = 2\pi rh + 2\pi r^2}[/tex]
Substitute values for Area
[tex]\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}[/tex]
Divide through by pi
[tex]\mathbf{56\sqrt 6= 2 rh + 2r^2}[/tex]
Substitute value for r
[tex]\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}[/tex]
[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}[/tex]
[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}[/tex]
Collect like terms
[tex]\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}[/tex]
Make h the subject
[tex]\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}[/tex]
[tex]\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}[/tex]
Rationalize
[tex]\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}[/tex]
[tex]\mathbf{h = 7\sqrt 2- 4\sqrt 3}[/tex]
Hence, the exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]
Read more about surface areas t:
https://brainly.com/question/25131428
Problem Solving REAL WORLD 1. James got 3 hits in each of his baseball games. He has played 4 baseball games. How many hits has he had in all?
Consider the following game. The diamonds are taken out of a deck of cards, and are shuffled randomly. You pay $5 to pick one of the diamonds. If you pick the ace of diamonds, you win $20. If you pick the jack, queen, or king, you win $10. However, if you pick any other card, then you don't win any money. What is the expected value of this game? Is it in the player's favor to play this game? Why or why not?
Answer:
It is not in the players favor because there is a 4/13 chance that the player will win money. That"s not even 50%. So its up to the player if they want to take that risk but its a 0.3% chance that the player will win money.
Hope this helps :)
how long does it take for 100 hens to lay 100 eggs if 5 hens are known to lay 5 eggs in 5 minutes?
Answer:
100 mins/ 1 hour 40 mins
Step-by-step explanation:
if 5 hens are known to lay 5 eggs then each hen lays 1 egg a minute
so multiply 1 by 100
and 100 time 1 equals 100
Convert the following equation into Slope Intercept Form "y=mx+b".
y-7=1/3(x+15)
Answer:
Slope = 0.667/2.000 = 0.333
x-intercept = 36/-1 = -36.00000
y-intercept = 36/3 = 12
Step-by-step explanation:
Simplify by using the product, quotient, and power rules
Answer:
3y^5
Step-by-step explanation:
1728829+5363792002×82873992892/12=?
Answer:
Simplify the expression.
Exact Form:
111129715061983798933/3
Decimal Form:
3.70432383⋅10^19
Step-by-step explanation:
Answer:
exact form is 111129715061983798933/3
decimal form 3.70432383*10^19
Step-by-step explanation:
Bag A contains 3 red balls and 1 blue ball. Bag B contains 1 red ball and 1 blue ball. You perform the following experiment. First, randomly pick one ball from each bag. Next, place the ball from bag A into bag B and the ball from bag B into bag A. What is the expected number (or mean) of red balls in the bag A
Answer:
2
Step-by-step explanation:
because the tree you must have more red balls than blue
Please do number 4!!!!!
Answer:
just put the 25 into the equation, and you get the M, as the money she earn
2.5(25) + 12 = 74.5 that is the amount she earns
Answer: 74.5
Step-by-step explanation:
M = money = ?
f = faces she paint = 25 faces
M = 2.50(f) + 12 —> ? = 2.50(25) + 12 = 74.5