Answer: The guage block height is 4.98 m
The base of the right triangle that is formed is 7.3784 m
The last angle in the triangle is 56 degrees
Step-by-step explanation:
Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base. Now we can use trig (SOHCAHTOA) to find the answaers.
Using sine, we can first find the gauge block height, O (Opposite). Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.
Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)
O = (8.9)*(0.5592)
O = 4.98 m, the height of the gauge block,
The base of the triangle, A, can be determined with cosine.
Cosine(34) = A/O, or A = Cosine(34)*O
A = (0.82904)*(8.9)
A = 7.3784 m
The sum of all angles in a triangle is 180 degrees.
180 = X + 34 + 90
X = 56 degrees
Given the definitions of f(x) and g(x) below, find the value of (gºf)(-4).
f(x) = -2x - 3
g(x) = 2x2 – 2x – 8
Answer:
[tex](g\circ f)(-4) = 32[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x) = -2x - 3\text{ and } g(x) = 2x^2 - 2x - 8[/tex]
And we want to find the value of:
[tex](g\circ f)(-4)[/tex]
Recall that this is equivalent to:
[tex]\displaystyle = g(f(-4))[/tex]
Find f(-4):
[tex]\displaystyle \begin{aligned}f(-4) &= -2(-4) - 3 \\ &= 5 \end{aligned}[/tex]
Hence:
[tex]g(f(-4)) = g(5)[/tex]
Finally, find g(5):
[tex]\displaystyle \begin{aligned}g(5)& = 2(5)^2 - 2(5) - 8 \\ &= 32 \end{aligned}[/tex]
In conclusion:
[tex](g\circ f)(-4) = 32[/tex]
Marcus is tying two bows for birthday gifts. He uses 3 3/8 feet of ribbon for Crystal's gift and 2 3/4 feet for Tim's gift. If he has an 8-foot roll of ribbon, how much will Marcus have left over?
Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.
It is important we understand that foot refers to single unit of measurement while feet is the plural of foot.
Marcus needs to tie two bows for birthday gifts and he has an 8-foot roll of ribbon.
• He uses 3 3/8 (27/8 as a fraction) feet of ribbon for Crystal's gift.
• He uses 2 3/4 (11/4 as a fraction) feet for Tim's gift.
The left-over computation is as follows:
= [tex]8 - \frac{27}{8} - \frac{11}4}[/tex]
= [tex]\frac{256-108-88}{32}[/tex]
= [tex]\frac{60}{32}[/tex]
= [tex]\frac{15}{8}[/tex] or [tex]1\frac{7}{8}[/tex] feet
Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.
See related question here brainly.com/question/14702678
Trang can run up a hill at 3 m/s and down the hill at 7 m/s. It takes her 60 seconds in total to
run up and then down the hill. What distance does she cover going from the bottom to the
top of the hill?
Please step by step explanation:)
Answer:
d=126 (m)
Step-by-step explanation:
Let say:
d the distance from the bottom to the top
t1 the time used for running up
t2 the time for running down
[tex]\left\{\begin{array}{ccc}d&=&3*t_1\\d&=&7*t_2\\t_1+t_2&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}d&=&3*t_1\\t_2&=&\dfrac{3}{7} t_1\\t_1+\dfrac{3}{7} t_1&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}t_1&=&\dfrac{60*7}{10}=42 \\\\t_2&=&\dfrac{3*42}{7}=18\\\\d&=&3*42=126\\\end{array}\right.\\[/tex]
Kevin buys eggs and potatoes at the store.
He pays a total of $25.98.
He pays a total of $6.46 for the eggs.
He buys 4 bags of potatoes that each cost the same amount.
How much does each bag of potatoes cost?
What is the answer to 6+4tothe3power-1tothe8power
Answer:
69
Step-by-step explanation:
6+64-1
=69
............
12 less than 10 times a number x
Step-by-step explanation:
10x-12 is the equation form
please help asap need answer
Plz solv this please guys
Answer:
x is 130 degrees. y is 80 degrees.
Step-by-step explanation:
Step-by-step explanation:
since ABCD is a Rhombus, x = 180-50 = 130°
y = 180-(50+50)= 80°
5f+4f-8=19
Fhkdjdjjdjrkrjrj
Answer:
f = 3Step-by-step explanation:
5f+4f-8=19
=> 9f = 19 + 8
=> 9f = 27
[tex] = > f = \frac{27}{9} [/tex]
=> f = 3 (Ans)
I need help with geometry homework.
Use the figure to name each of the following.
1. The intersection of TV and US.
2. The intersection of US and plane R.
3. The intersection of TU and UV.
The point at which lines, planes and points meet is referred to as the point of intersection or simply intersection.
The intersection of TV and US, US and plane R & TU and UV is point U
From the attached figure, we have the following observations
1. Line segments TV and US intersects at point U.
This means that the intersection of TV and US is point U
2. Line segment US and plane R intersects at point U
This means that the intersection of US and plane R is point U
3. Line segments TU and UV intersects at point U
This means that the intersection of TU and UV is point U
Hence, the name of the three intersections is point U
Read more about lines and planes at:
https://brainly.com/question/13081016
Evaluate
15
r
−
1
r
15
−1start fraction, 15, divided by, r, end fraction, minus, 1 when
r
=
5
r=5r, equals, 5.
Answer:
do you have a photo that makes it easier?
can anyone solve this question
Answer:
12 in Mathematics and 16 in Science
Step-by-step explanation:
12+16=28
12+3=15 and 16-4=12
15*12=180
Answer:
He got 12 marks in mathematics and 16 in science.
Step-by-step explanation:
M + S = 28, (M + 3)(S - 4) = 180.
(M + 3)(S - 4) = MS - 4M + 3S - 12 = 180
MS - 4M + 3S - 12 = 180
MS - 4M + 3S = 192
M + S = 28
S = 28 - M
M(28 - M) - 4M + 3(28 - M) = 192
28M - [tex]M^{2}[/tex] - 4M + 84 - 3M = 192
-[tex]M^{2}[/tex] + 21M = 108
-[tex]M^{2}[/tex] + 21M - 108 = 0
(-M + 9)(M - 12) = 0
M = -9, 12
S = 37, 16
1st solution:
(-9 + 3)(37 - 4) = 180
-6 * 33 = 180
-198 = 180
2nd solution:
(12 + 3)(16 - 4) = 180
15 * 12 = 180
180 = 180
Therefore, M = 12 and S = 16.
Look at image help plz!! Worth 30 points!
Answer:
t = Gx + a
Step-by-step explanation:
G = t - a/x (Given)
G(x) = (t - a/x)x (Multiply x on both sides)
Gx = t - a (Simplify)
Gx + a = t - a + a (Add a on both sides)
Gx + a = t (Simplify)
Please answer ASAP please and thank
Answer:
[tex]\huge\boxed{\sf 2\frac{1}{12} }[/tex]
Step-by-step explanation:
[tex]\displaystyle = 3\frac{1}{3} - 1\frac{1}{4} \\\\= \frac{3\times3+1}{3} - \frac{4\times1+1}{4} \\\\= \frac{10}{3} - \frac{5}{4} \\\\= \frac{10\times4}{3\times4} - \frac{5\times3}{4\times3} \\\\= \frac{40}{12} - \frac{15}{12} \\\\= \frac{40-15}{12} \\\\= \frac{25}{12} \\\\= 2\frac{1}{12} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
2 1/12
Step-by-step explanation:
3 1/3 - 1 1/4
Get a common denominator
3 1/3 *4/4 = 3 4/12
1 1/4 *3/3 = 1 3/12
Subtract
3 4/12 - 1 3/12
2 1/12
If someone said you could be at an wlevation of 0 feet, where would you be?
I NEED ANSWERS PLZ ASAP
Answer:
Sea level.
Step-by-step explanation:
find the smallest value of k, such that 525k is a perfect cube
Answer:
why should the government provides security to it's people
Answer: 2205
Step-by-step explanation:
From the prime factorisation of 525 we get
525 = 3×5×5×7
We have to make sure that all the factors are in cube form
To do that we have to add 3×3×5×7×7 to the factors
We get
525 = 3×3×3×5×5×5×7×7×7
So the 3×3×5×7×7 gives us the smallet value of k, which is 2205
And 525×2205 gives us 1157625 which is a perfect cube.
-3(2d + 5) please help me solve this using distributive property
Answer:
-6d -15
Step-by-step explanation:
-3(2d + 5)
Distribute
-3 *2d -3*5
-6d -15
Question 2
1 pts
U
A physics class just took the final exam and most everyone in the class failed. What
distribution would be describe the data?
Obimodal
normal distribution
negatively skewed
O positively skewed
Answer:
C: negatively skewed class
What is the inverse of the function f(x) = 3x – 2?
f-1(x) =
Answer:
[tex] \frac{x + 2}{3} [/tex]
Step-by-step explanation:
Replace y with f(x).
[tex]y = 3x - 2[/tex]
Swap x and y and solve for y
[tex]x = 3y - 2[/tex]
[tex]x + 2 = 3y[/tex]
[tex] \frac{x + 2}{3} = y[/tex]
6 . The scale of a map is 1: 250 000. (a) The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimeters. (b) On the map a large forest has an area of 6 cm?. Calculate the actual area of the forest. Give your answer in Square kilometres.
Answer:
The scale of a map is 1:250000.The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimetre
Step-by-step explanation:
1 m = 100 cm
1 km = 1000 m = 100 000 cm
1:250 000 mean that 1 cm on the map represents an actual distance of 250 000 cm = 2.5 km
1:250 000 = 2.5 km / cm
80 km / 2.5 km / cm = 32 cm
OR
80 km = 8 000 000 cm
8 000 000 cm ∙ 1 / 250 000 = 8 000 000 cm / 250 000 = 32 cm
7) Find EC
16
E-
B
D
С
49
30
Classify 7/8 as either a whole number natural number an integer or rational number
Answer:
rational number
Step-by-step explanation:
a whole number is a non-negative integer, a natural number is a positive integer, an integer is any number that doesn't have decimal places and isn't a fraction. 7/8 isn't an integer so it isn't a whole or natural number. rational numbers can be written as fractions or are terminating decimals. 7/8 is a fraction so 7/8 is a rational number
\large -45\div9-\left(-5\right)=
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
[tex] \sf\large -45\div9-\left(-5\right) \\ = \sf - 5 - ( - 5) \\ \sf= - 5 + 5 \\ \sf = 5 - 5 \\ = \boxed{\bf 0}[/tex]
-> The answer will be 0.
______
Hope it helps.
гคเภ๒๏ฬรคlt2²2²
−45÷9−(−5)
=−5−(−5)
=−5+5
=5−5
= 0
-> The answer will be 0.
#Keeplearning
The difference of -13 and 8 multiplied by the square of 4
A bag contains green balls and red balls only A ball is taken at random from the bag The probability of taking a green ball is 0.38 Write down the probability of taking a red ball and a blue ball
Answer:
blue ball is zero, red ball is 1-0.38=0.62
Step-by-step explanation:
1. no blue balls
2. probabilities have to add to 100%
Pls Solve
4x+16=x+166
Answer:
50
Step-by-step explanation:
4x+16=x+166
-x -x
3x+16=166
-16 -16
3x=150
/3 /3
x=50
Answer :
• 50
Step-by-step explanation:
4x + 16 = x + 1664x - x = 166 - 16 (Subsituation )3x = 150x = 150 / 3x = 50 !m−4=2m what does m= Please help
Answer:
-4
Step-by-step explanation:
you would subtract m from both sides to get -4=m
6.55743... is an irrational number because it is an
a terminating decimal
a repeating decimal
a non-terminating and non-repeating decimal
a non-repeating decimal
a non-terminating decimal
Answer:
#3. a non-terminating and non-repeating
Step-by-step explanation:
6.55743... never ends and it never repeats either
Answer:
Not terminating but doesn't repeat either
Step-by-step explanation:
on a trip of 28 kilometers a car used 4 litres of petrol . how many kilometers to the litre did the car average
Answer:
7 kilometers per litre
Step-by-step explanation:
Take the distance and divide by the number of litres
28 kilometers/ 4 litres
7 kilometers per litre
What is one of the best ways to stop procrastinating and study More
Answer:
use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)