We want to see if the given statement is true or false.
We will prove that the statement is false.
The statement is:
" If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees."
We can use the rule:
Sin(θ) = (opposite cathetus)/(hypotenuse).
Let's define:
hypotenuse = H
opposite cathetus = H/2
Let's see if the given angle is equal to 60°, we will have:
Sin(θ) = (H/2)/H = 1/2
θ = Asin(1/2) = 30°
So we can see that the statement is false.
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I need quick help!!!
Answer:
it is 6...................
What 6 over 4 simplified
Which steps are correct to solving this?
Answer:
it will mist likely be A hope this helps
find surface area of the prism
The cracker manufacturer is trying to determine the best dimensions for the boxes to hold their product so that they use the least amount of cardboard.
A rectangular prism with length of 6 inches, width of 4 inches, and height of 12 inches. A rectangular prism with length of 7 inches, width of 6 inches, and height of 9 inches.
Which box uses less cardboard, and how much less cardboard does it use?
A. The box on the right uses 30 inches squared less cardboard.
B. The box on the left uses 30 inches squared less cardboard.
C. The box on the right uses 90 inches squared less cardboard.
D. The box on the left uses 90 inches squared less cardboard.
Answer:
B, the box on the left used 30 in square units less cardboard.
Step-by-step explanation:
I took this question on my quiz and got it right.
Answer:
Step-by-step explanation:
Rewrite the expression by combining like terms. 3y + 5x2 + 10x + 2x2 + 15x – 3y
Answer:
7x²+ 25x
Step-by-step explanation:
Yahira collects 3,750 ounces of rainwater in the rain barrel outside her house. If the measurement lines count by 10, how many lines did the water reach? Type your numerical answer in the box below.
Answer:
375 lines
Step-by-step explanation:
Total ounces of rain water in the barrel = 3,750 ounces
Measurement lines in the barrel = 10 ounces per line
how many lines did the water reach?
Number of lines the water reach = Total water in the barrel / measurements per line
= 3,750/10
= 375 lines
The water in the barrel reach 375 lines
lol help me please, i need to turn this in before 12 also actually answer don’t just say”oh click on this link”. it’s annoying
Answer:
G. $7.75 per hour
Step-by-step explanation:
You can choose any of the three functions and divide the amount of pay by the hours worked, for example,
15.50/2=7.75
or
31/4=7.75
or
46.50/6=7.75
They're all the same rate so it doesn't really matter.
joey has 628 donuts to ship. each box holds 12 donuts.
Question 1 - How many boxes will joey need so that all of his donuts are in a box?
Question 2 - Are all of the boxes full?
Question 3 - If not, how many boxes are full and how many donuts are in the box that is not full?
Answer:
53 boxes.
No.
52 are full, 1 is not.
Step-by-step explanation:
628 divided by 12 is 52.3333333333
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Determine whether the pair of lines is parallel perpendicular or neither 26x+2y=4 and -3x+39y=-15
A rectangle has a perimeter of 30 yards. If one side is 5 yards long, how long is the other side?
A. 15 yards
B. 25 yards
C. 10 yards
D. 30 yards
Answer:
C. 10
Step-by-step explanation:
5+5=10
10+10=20
10+20=30
Answer:
The other is 10 yards long
Step-by-step explanation:
For a given rectangle
Perimeter (P) = 30 yards
and one of rectangle is 5 yards
Now,
Perimeter of rectangle
P = 2l + 2b
30 = 2(5) + 2b
30 = 10 + 2b
30 - 10 = 2b
20 = 2b
b = 20 ÷ 2
b = 10 yards
Thus, The other is 10 yards long
-TheUnknownScientist
pLEASE HELP ME ASAP FOR 9 AND 10
Answer:
9)
x^2 + 2x + 1 = (x + 1)^2
10)
x^2 - 6x + 9 = (x - 3)^2
Step-by-step explanation:
To complete the square, add the square of half of the x-term coefficient.
Then use the factoring of a perfect square trinomial.
a^2 + 2ab + b^2 = (a + b)^2
a^2 - 2ab + b^2 = (a - b)^2
9)
x^2 + 2x + 1 = (x + 1)^2
10)
x^2 - 6x + 9 = (x - 3)^2
please help with this one. i will give brainliest
70.. not pretty sure tho
Answer:
B: 170
Step-by-step explanation:
Manager Mark counted the number of innings each Shire Sharks pitcher pitched during the Soiltop Tournament. Calvin pitched 11 innings, Brody pitched 5 innings, Thom pitched 12 innings, Shawn pitched 7 innings, and Harley pitched 5 innings.
Find the mean absolute deviation (MAD) of the data set.
Answer:
Step-by-step explanation: 55
La ecuación de la recta que lasa a través de los puntos P1 (2,5) y P2 (4,11) es: a) 3x+y+1=0 b)3x-y-1=0 c) 3x-y+1=0
Respuesta:
3x-y-1 = 0
Explicación paso a paso:
La forma estándar de ecuación de una línea se expresa como y = mx + b
M es la pendiente
b es la intersección con el eje y
Dada la coordenada P1 (2,5) y P2 (4,11)
Pendiente m = y2-y1 / x2-x1
m = 11-5 / 4-2
m = 6/2
m = 3
Sustituya m = 3 y (2,5) en y = mx + b
5 = 3 (2) + b
5 = 6 + b
b = 5-6
b = -1
Obtén la ecuación
y = 3x-1
Igualar a cero
y - 3x +1 = 0
Multiplicar por -1
3x-y-1 = 0
Esto da la ecuación requerida
Ariel is making bracelets. She bought a 15% foot long string, and a 1243 foot long string. If each
bracelet requires 42 of a foot of string, how many bracelets can Ariel make?
Answer:
She can make 55 bracelets
Step-by-step explanation:
We have the correct question as follows;
Ariel bought a 15 1/6 foot long string, and a 12 1/3 foot long string. If each bracelet requires 1/2 of a foot long string, how many bracelets can Ariel make
we have the solution as follows
Firstly, we need to find the total length of the strings bought
We can get this by adding what was bought
That would be;
15 1/6 + 12 1/3
= 91/6 + 37/3
= (91 + 74)/6 = 27 1/2 ft
From the question, each bracelet requires 1/2 ft long
so the number of 1/2 ft long bracelets we can find will be;
27 1/2 divided by 1/2
= 55/2 * 2/1
= 55
A teenager has 8 tee shirts, 2 belts, and 5 pairs of jeans. How many different outfits can he wear, assuming that he must wear a belt to keep those pants up and keep that shirt tucked in?
Answer: 80 ways
Step-by-step explanation:
If 8 tee shirts can be worn in 8 ways
similarly for 2 belts = 2 ways
five pair of jeans= 5 ways
so total number of ways=5*2*8=80 ways
sam is building a model or an egyptian pyramid out of cardboard. he plans to make asquare base with an edge of 16 inches. The height of each triangular face is 9 inches . Determine the total amount of cardboard he will use for all the surfaces in square inches
Answer:
544
Step-by-step explanation:
in the figure, c // d. What are the measures of <1 and <2? Enter your answers in the boxes. Just write the numbers. (not the degree symbols)
Answer: <1 = 105° and <2 = 75°
Step-by-step explanation:
The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.
180 - 75 = 105
<1 = 105 degrees
What is the domain and range topic is (parabola)
Step-by-step explanation:
domain is all real positive numbers. x> 0
range is y>= -1
Tell whether xy = 8 shows direct variation, inverse variation, or neither.
Answer:
inverse
Step-by-step explanation:
y = k/x indicates inverse variation, which is the same as xy = k
in this particular problem, k = 8
the linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.
Answer:
the answer is D.
Step-by-step explanation:
well, the y-intercept for f(x) is at
as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.
for g(x), well an y-intercept is when x = 0, what is it from that table? well, is at 0,3, so when x = 0, y = 3, so no dice on that one.
c)
whenever an x-intercept occurs, y = 0, for f(x) that's at
what about the x-intercept for g(x)? well, let's check, when is y = 0? aha! at -9, 0, so when y = 0, x = -9, so no dice on that one either.
d)
well, what is the slope of g(x) anyway? well, let's pick two points off the table to get it hmmm the first two let's use,
and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.
well, 2/3 is larger than 1/3, so no dice.
b)
well, you already know.
Which expression is equivalent to 6/7 divided by 3/5 ?
A. 6/7 x 5/3
B 6/7 x 5/3
C 7/6 divided 3/5
D 5/3 divided 6/7
Answer:
A.
Step-by-step explanation:
6/7 / 3/5 we invert the divisor and multiply:
= 6/7 * 5/3
Emerson has some yellow stickers and some green stickers. She
has 30 green stickers and the ratio of vellow stickers to green
stickers is 2.5. How many yellow stickers does Emerson have?
On a tree, the trunk splits into 5 branches. Then each branch splits into 5 smaller branches, and each of those branches splits into 5 very thin branches. How many very thin branches are on the tree?
Answer:
There are 125 very thin branches.
5 branches x 5 smaller branches = 25 smaller branches25 smaller branches x 5 very thin branches = 125 very thin branches125 very thin branches in your final answer!Can anyone help me with this I’m not too god at math an this is worth 50 points
Answer:
The answer is irrational
HELP PLEASE 24 POINTS
Answer:
reflection
Step-by-step explanation:
it is being REFLECTED over the x axis so this makes it a reflection
pls mark brainliest I need it
suppose you lean out a window of a tall building and use a sling to launch a stone straight up. the stone starts with a velocity of 69 feet per second. it leaves the sling 365 feet above the ground.
Answer:
y= 69x + 356
Step-by-step explanation:
y= 69x + 356
It goes 69 feet per second hence the 69x and it starts 356 feet in the air
The height of the stone above the ground at any time t can be described by the quadratic function h(t) = -16t^2 + 69t + 365.
How to write a function?Assuming that the acceleration due to gravity is -32 feet per second squared (neglecting air resistance), we can use the following kinematic equation to describe the height of the stone as a function of time:
h(t) = -16t²+ vt + h₀
where:
h(t) is the height of the stone above the ground at time t
v is the initial velocity of the stone (69 feet per second, in this case)
h₀ is the initial height of the stone (365 feet above the ground, in this case)
Substituting the values of v and h0, we get:
h(t) = -16t² + 69t + 365
Therefore, the height of the stone above the ground at any time t can be described by the quadratic function h(t) = -16t² + 69t + 365.
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3(2x+4)=2(9+2x)
I need Help with this one!
And then after, how do I change it so it has no solution at all.
Answer:
x = 3
Step-by-step explanation:
3(2x+4)=2(9+2x)
6x+12=18+4x
6x-4x=18-12
2x=6
x=3
pd: i solve this as an ecuation