Answer:
→ 50°
→ Acute triangle
Step-by-step explanation:
the measure of the third angle = 180 - (60 + 70) = 180 - 130 = 50°
definitions=======================================
Acute angle : it’s an angle that measures less than 90°.
Acute triangle: it’s a triangle with three acute angles.
………………………………………………………………………………………………
The measures of the angles in our triangle are respectively 60° , 70° , 50°
Thus ,it’s an acute triangle .
The hypotenuse of a right triangle measures 2 square root 15 centimeters and its shorter leg measures 2 square root 6
centimeters.
What is the measure of the larger acute angle of the triangle? Round your answer to the nearest
tenth of a degree.
Answer:
50.8°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between side lengths and trig functions for a right triangle. Here, you are given the short side and the hypotenuse, and asked for the largest acute angle.
__
The short side is adjacent to the largest acute angle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(β) = (2√6)/(2√15) = √0.4
The angle measure is found using the inverse cosine function:
β = arccos(√0.4) ≈ 50.8°
The larger acute angle is about 50.8°.
Please help me on this!
The correct statement is the first one. g(x) exceeds f(x) by 72.
Which statement is true?
By looking at the table, we can see that f(x) is a linear function and g(x) is an exponential function, such that:
f(x) = 10 + 3x
g(x) = (1/2)^x
By evaluating these functions in x = -6 we get:
[tex]f(-6) = 10 - 3*6 = -8[/tex]
[tex]g(-6) = (1/2)^{-6} = 64[/tex]
The difference is:
g(-6) - f(-6) = 64 + 8 = 72
Then the correct option is the first one, g(x) exceeds f(x) by 72.
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pls help w b. also not sure if what ive written down is right
Answer:
See below
Step-by-step explanation:
b) 200 ft = -16 (t-2)^2 + 400
200 / 16 = (t-2)^2
sqrt (12.5 ) = t-2
2 + sqrt (12.5) = t
Which equation can be used to find the surface area of the cylinder? a cylinder with a radius of 4 inches and height of 16 inches. s = 2 pi (4) squared 2 pi (4) (16) s = 2 pi (8) squared 2 pi (8) (16) s = 2 pi (16) squared 2 pi (16) (4) s = 2 (4) squared 2 (4) (16)
The equation we can use to find the surface area of the cylinder is: 2π(4)(16 + 4).
What is the Surface Area of a Cylinder?Surface area of a cylinder = 2πr(h + r), where h is the height and r is the radius of the cylinder.
Given the following:
Radius = 4 in.Height = 16 in.Equation to find the surface area of the cylinder = 2π(4)(16 + 4)
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Help its timed 35 points
if you run for 30 mintes at a speed of 8 miles per hour how many feet wpuld you hav erun
Answer:
not sure if this is correct but i tried (1267200 feet)
Answer:
21120 ft
Step-by-step explanation:
We need to change 8 miles per hour to feet per minute
8 miles 5280 ft 1 hour
----------- * ---------- * ----------
hour 1 mile 60 minutes
704 ft/ minute
Now multiply by 30 minutes
704 ft / minute * 30 minutes =21120 ft
-11 2/3 x (-4 1/5) help I need it
Answer:
Step-by-step explanation:
[tex]-11 \frac{2}{3} x -4\frac{1}{5} =[/tex]
First we change the mix number fractions into a improper fraction
[tex]\frac{-11*3+2 }{3} x- \frac{4*5+1}{5} =[/tex]
[tex]\frac{-33+2}{3} x- \frac{20+1}{5} =[/tex]
[tex]\frac{-31}{3}x - \frac{21}{5} =[/tex]
Give both fractions the common denominator 15 and subtract the fractions
[tex]\frac{-31x*5}{15} - \frac{21*3}{15}=[/tex]
[tex]\frac{-155x -63}{15}[/tex]
1. New school desks were made for your school for the upcoming school year. The total
cost of making these desks is related to the amount that are made. This is shownin the
table below:
pls help its 100 points
Take 2 points
(21,1517)(47,2609)#a
Find slope
m=2609-1517/47-21m=1092/26m=$42#b
Find equation y inetercept is our answer
y-1517=42(x-21)y-1517=42x-882y=42x+635b=635
#c
Put x=250So
y=42(250)+635y=$11135Function g can be thought of as a scaled version of f ( x ) = ∣ x ∣
Using translation concepts, it is found that the equation for function g(x) is given by:
[tex]y = -\frac{2}{3}|x|[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
f(x) = |x|.
Researching the problem on the internet, function g(x) was reflected over the x-axis, and compressed by a factor of 2/3, hence it is multiplied by -2/3(negative due to the reflection), and the equation for function g(x) is given by:
[tex]y = -\frac{2}{3}|x|[/tex]
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14 ft
16 ft
5 ft
What is the Surface Area??
Answer:
0.805ft
Step-by-step explanation:
she determines the surface area of material she needs to create
What is the sum of the first 45 terms of the sequence?
-282,-266,-250,-234,...
S45 =
Use the attachment (It has a full explanation and answer).
how many times larger than 3*10^2 is 12*10^4
Hey there!
3 * 10^2
= 3 * 10 * 10
= 3 * 100
= 300
AND
12 * 10^4
= 12 * 10 * 10 * 10 * 10
= 12 * 100 * 100
= 12 * 10,000
= 120,000
SIMPLIFYING the ANSWER
120,000 - 300
= 119,700
≈ 100,000
Therefore, your answer should be:
100,000
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Mr. Graham invested some of his $18,000 in bonds that made a 5% profit and the rest in bonds that made a 12% profit. If the profit on the 12% bonds was $885 more than the profit on the 5% bonds, how much did Mr. Graham
invest in the 5% bonds?
Answer:
$7500
Step-by-step explanation:
Let investment in 5% bond be x
(18000 - x) * 12% - x * 5% = 885
18000*12 - 12x - 5x = 88500
216000 - 88500 = 17x
x = 7500
solve for x !
[tex]\longrightarrow\bold{4x {}^{2} + 10x + 4 = 0}[/tex]
ty! ~
Step-by-step explanation:
We could easily solve this by factoring.
Given eqn:
[tex]\rm{4x ^{2} + 10x + 4 = 0}[/tex]
Solution:
Factor left side:
[tex] = > 2(2x + 1)(x + 2) = 0[/tex]
Write the factors to 0 to get our solution:
[tex] = > 2x + 1 = 0[/tex]
[tex] = > \boxed{ x = - \cfrac{1}{2} }[/tex]
or else,
[tex] = > x + 2 = 0[/tex]
[tex] = > \boxed{ x = - 2}[/tex]
[tex] \rule{225pt}{2pt}[/tex]
A survey asked a sample of vacationers how far they drove to get to their destination. What is the margin of
error if the interval estimate is (200 miles, 250 miles)?
What is the length of the interval?
The margin of error for the interval (200 miles, 250 miles) is 25 miles.
What is an equation?An equation is an expression that shows the relationship between two or more variables and number.
The confidence interval = mean (m) ± margin of error (e) = m ± e
Hence:
m + e = 250 (1)
m - e = 200 (2)
From the both equations:
m = 225, e = 25
The margin of error for the interval (200 miles, 250 miles) is 25 miles.
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The sides lengths 4, 6, 9 can be used to form the sides of a triangle.
(a) state the value of cos(30°)
(b) state the value of sin(30°)
someone help me solve this
Answer:
Looking at the given points we know that it is going to be rectangle because we have 4 points. Therefore the figure is a rectangle and the area formula would be [tex]A=l*w[/tex].
You can look at the attached graph and what we see is that our width of the rectangle is from [tex]y=-4[/tex] to [tex]y=3[/tex] which means that our height is 7 units wide. We can also see that our length starts at [tex]x=-1[/tex] and ends at [tex]x=4[/tex] making us have a length of 5 units.
We then plug in the values and solve
[tex]A = 7\ units * 5\ units[/tex]
[tex]A = 35\ units^2[/tex]
Therefore, the area of our rectangle is [tex]35\ units^2[/tex]
Hope this helps! Let me know if you have any questions
While walking to school you pass a barn with a silo. Looking up to the top of the silo you estimate the angle of
elevation to the top of the silo to be about 14°. You continue walking and find that you were around 40 m from
the silo. What is the height of the silo?
Answer:
9.97 meters
Step-by-step explanation:
The silo is one leg of a right triangle the other leg is the distance from the silo
for a right triangle tan = opposite side / adjacent side
tan(14) = height/40
40 tan 14 = height = 9.97 m
Is π^2 greater or less than 7.2?
Answer:
less than
Step-by-step explanation:
Well pi divided by 2 is 1.57 and you need to figure out if 7.2 is greater than or less than pi^2 aka 1.57 so theres your ansewr
Answer:
greater
Step-by-step explanation:
π = 3.1425.....
π > 3
π^2 > 9 > 7.2
eathan answer 80% correctly on his history test he correctly answers 32 enter the amount of questions on his test
Answer:
40 questions.
Step-by-step explanation:
By proportion:
80 % is equivalent to 32 questions
So 100% .. .. .. .. .. .. (32/80) * 100
= 32 * 5/4
= 160/4
= 40
Answer:
40
Step-by-step explanation:
80/100=32/x
You can also set this up with a diagram.
x=40
A salsa recipe uses green pepper, onion, and tomato in the extended ratio 1 : 5 : 7. How many cups of onion are needed to make 117 cups of salsa?
Answer:
We need 45 cups on onion
Step-by-step explanation:
green pepper : onion: tomato: total
1 5 7 13
We have 117 total so divide by 13
117/13 = 9
Multiply each number by 9
green pepper : onion: tomato: total
1*9 5*9 7*9 13*9
9 45 63 117
We need 45 cups on onion
Can someone solve number 1 only
Answer:
24.00
Step-by-step explanation:
hope this helps
Decide if the situation involves permutations, combinations, or neither. explain your reasoning.
the number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation
The number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation is a combination problem
Permutation and combinationPermutation has to do with arrangement while combination has to do with selection.
When choosing an object from other pool of object, we will have what is called combination.
From the given question, we are told that the number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation, since they are selecting, hence the situation involves combination.
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Write seven tenths as a decimal
Answer:
seventh tenths as a decimal are 0.7
Out of 90 scientists who study dinosaurs, 30 study the T-Rex, 22 study the Brontosaurs and 10 study both. How many of this group of scientists studies another speices of dinosaurs?
Answer:
it 152 u have to add 3 time like this
90+10+30+ it gives you 152
Step-by-step explanation:
hope this works or help
Find the Lowest Common Multiple of a and b.
Answer:
181104
Step-by-step explanation:
2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104
Answer:
181104
Step-by-step explanation:
2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104
please help me solve this
Answer:
1364.26 mm^2
Step-by-step explanation:
If this is correct: side length a =
30
side length b =
10
side length c =
24
prism height h =
18
then the answer would be 1364.26 mm^2
Find the indicated missing angle measure. Solve for the value of 0. Round to the nearest whole degree.
Answer:
67 degrees
Step-by-step explanation:
Calculator!
Please help will mark brainliest 5 points
Answer:
D. Graph D
Step-by-step explanation:
First, off me know that that equation is in slope-intercept form.
Therefore, your y-intercept is (0,1)
Then you need to find the slope by using two points on a graph and using the y2-y1/x2-x1 equation.
Now you need to pay attention to the sigh. It's [tex]\leq[/tex].
That means it is greater than or equal to ur y-intercept, it must be shaded do the side of numbers greater to 1 (ur y-intercept.)
Giving you D.
