Answer:
I. sec G = 4/3
II. cot G = (3√7)/7
III. sin E = ¾
Step-by-step explanation:
Given
Right angled triangle
EG = 8
FG = 6
Required
sec G
cot G
sin E
First, the length of the three sides of the triangle must be completed.
From the attachment below, we can deduce that (by using Pythagoras theorem)
Hyp² = Adj² + Opp²
EG² = FG² + EF²
Substitute EG = 8 and FG = 6
8² = 6² + EF²
64 = 36 + EF²
Collect like terms
EF² = 64 - 36
EF² = 28
Take square root of both sides
√EF² = √28
EF = √28
EF = √(4 * 7)
EF = √4 * √7
EF = 2 * √7
EF = 2√7.
Now, the trigonometric functions can be solved.
i. sec G.
sec is the reciprocal of cos .
So, we need to solve first for cos G
cos G = Adj/Hyp
Here, adj = 6 and hyp = 8
So,
cos G = 6/8
cos G = ¾
So,
sec G = 1/(¾)
sec G = 4/3
ii. cot G
cot is the reciprocal of tan
So, we need to solve first for tan G
tan G = Opp/Adj
Here, adj = 6 and opp = 2√7
So,
tan G = 2√7/6
tan G = √7/3
So,
cot G = 1/(√7/3)
cot G = 3/√7
Rationalise
cot G = 3/√7 * √7/√7
cot G = (3√7)/7
iii. sin E
sin E = Opp/Hyp
Here, Opp = 6
Hyp = 8
So,
sin E = 6/8
sin E = ¾
Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are the newer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 are state quarters. Based on this sample, how many of the quarters in the full bag were likely to be eagle quarters? 400 200 100 300
Answer:
400
Step-by-step explanation:
The number of eagle quarters likely to be in the bag is 200.
Option B is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of quarters = 500
Out of the 10 quarters.
Eagle quarters = 4
This means,
Percentage of eagle quarters,
= 4/10 x 100
= 40%
Now,
40% of 500 quarters.
= 40/100 x 500
= 200
Thus,
The full bag is likely to have 200 eagle quarters.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ5
Anyone know this one? please help! thank you
Answer:
24%
Step-by-step explanation:
You first add the boys because you know you only look at the boys not the girls. You get the answer 233. Then you divide the number of boys who chose Niagra Falls which is 56 over 233. You will get a decimal. You then multiply the decimal by 100 to get your answer. The answer would be 24.0343348% which would round to 24%.
Answer this question right with an explanation and I will mark you brainliest
Answer:
8 oz.
Step-by-step explanation:
I say this because, initial value means the value at the start. The candle starts at 8 oz. therefore it is the initial value. The reason it is the weight and not the time is because the weight is the dependent variable.
how many pounds fit into one ton
Answer:
2000
Step-by-step explanation:
there are 2000 pounds in a ton
can you put 150 177 205 163 172 190 186 168 155 in order
Can some one help me with 27?
Answer:
11.8
Step-by-step explanation:
Which expression best estimates
Answer:
Step-by-step explanation:
-18 1/4 rounds down to -18 and 2 2/3 rounds up to 3. Then -18/3 = -6
Find the interquartile range (IQR) in the data plot below. I WILL GIVE THE BRAINIESTTO THE RIGHT ANSWER!!!
Answer:
3.5
Step-by-step explanation:
0 1 1 3 3 3 4 5 7
median= 3
Q1= 1
Q3= 4.5
4.5-1= 3.5
Answer: 11...
If wrong I am soooo sorry
7 ∙ 15 can be written as _____.
5(7 + 10)
10(7 + 5)
7(10 + 5)
Answer:
7(10+5)
Step-by-step explanation:
5(17)
10(12)
7(15)
Answer:
The answer would be 7(10+5)
Step-by-step explanation:
7(10) + 7(5)
70 35
105
Have a good day!!
Write the following as an equivalent product of conjugates:
(a) x^2 - 16
(b) 16x^2 - 49
(c) x^4 - 36
if u answer this ty
Answer:
Answers are below
Step-by-step explanation:
(a) (x+4)(x−4) Factor the given expression
(b) (4x+7)(4x−7) Factor the given expression
(c) (x²+6)(x²−6) Factor the given expression
If these answers are correct, please make me Brainliest!
Pls help I will really appreciate it
Answer:
Side KL.
Step-by-step explanation:
Side KL will have a negative slope due to the reflection of side 1 , then the 90 degree clockwise rotation will will take it down towards the x axis and it will then have a positive slope,
Right triangle ABC is shown.
Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Which equation can be used to solve for c?
sin(50o) = StartFraction 3 Over c EndFraction
sin(50o) = StartFraction c Over 3 EndFraction
cos(50o) = StartFraction c Over 3 EndFraction
cos(50o) = StartFraction 3 Over c EndFraction
Answer:
sin(50deg) = 3/c
Step-by-step explanation:
Applying the trigonometry ratio, SOH, the equation that can be used to solve for c is: sin (50°) = 3/c.
Trigonometry RatiosTo solve a right triangle, any of the ratios, SOH CAH TOA, can be applied.
Thus, given right triangle ABC, where:
angle ACB = right angleangle CBA (∅) = 50 degrees (reference angle)AC = 3 m (opposite)AB (c) = hypotenuse = ?Apply SOH:
sin ∅ = opp/hyp
Substitutesin (50°) = 3/c
Therefore, applying the trigonometry ratio, SOH, the equation that can be used to solve for c is: sin (50°) = 3/c.
Learn more about trigonometry ratio on:
https://brainly.com/question/4326804
Sort of confused me, not really good with graphs so please help! :)
Answer:
Step-by-step explanation:
okay on your garph look at the line with the negative numbers and the line with positive numbers. Once you spot them, start with ploting (-8,0) fined -8 and make sure you also fined 0 on the positive line. You have to connect the line to make sure -8 and 0 are on the same line. Then do the same for 0,6 but both are on the positive line so it won't be hard
find the diagonal length of this figure
Answer:
the answer is,
11.18mm
by pythagoras theorem, you'll get base diagonal as 10mm, therefore the diagonal*marked red is 11.18mm.
Answer:
[tex]5\sqrt{5} \:mm[/tex]
or
11.18 mm
Step-by-step explanation:
length of diagonal
[tex]=\sqrt{l^{2} +w^{2}+h^{2} } \\=\sqrt{8^{2} +6^{2}+5^{2} } \\=\sqrt{64 +36+25 } \\=\sqrt{125 } \\=5\sqrt{5} \: mm\\=11.18 mm[/tex]
Maria bought a bag of flour so that she can make muffins it has a mass of 2.26 kg Shanice 450 g of flour to make one batch of muffins how many kilograms of flour will remain after Maria make slime
Answer:
10 grams or 0.010kg
Step-by-step explanation:
The mass of the bag used to make flour is 2.26 kg = 2260 grams
Now, in order to find out how many badges she made, we would need to divide the weight of the bag by the amount needed to make a badge.
Therefore: [tex]\frac{2260}{450} = 5.02[/tex]
We know now that the bag will make 5 batches and will have some left over. In order to find how much we used, we can multiply 5 * 450 = 2250.
Therefore, in order to make 5 batches, Maria used exactly 2250 grams of flour which in result left us with 10 grams of the bag.
Note: 2260 -2250 = 10 grams.
Subtract, in order to find how many you have left.
Hope this helps.
After making one batch of muffins, Maria will have 1.8 kg of flour remain.
What is 1 kg when it is converted into grams?
1 kg will be 1000 grams when converted.
Given,
Maria bought 2.26 kg of flour = 2260 grams of flour.
To make 1 batch of muffins, Maria needs 450 grams of flour.
Therefore, the flour Maria has after making one batch of muffin = (2260 - 450) grams = 1810 grams.
Learn more about the conversion of kg to gram here: https://brainly.com/question/18811876
#Tag #SPJ2
2t+8= -10 answer for t
Answer:
-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
you subtract 8 from both sides the -10 then becomes -18 then you divide it by 2
The container that hold water for the football team is 1/2 full. After poring 9 gallons of water , it is 5/6 full. How many gallons can the container hold?
Answer:
24 or 18 gallons
Step-by-step explanation:
Answer:
18 gallons. I think.
Two way tables compare and contrast how many categories: answer options listed in pic! pls help worth 20 points!!!!
Answer:
A two way table compares and contrast 2 categories.
Answer: the answer is 2
Step-by-step explanation:
PLZ HELP ME HURRY I NEED THE ANSWER ASAP!!!!!!!!
Answer:
The answer is D
Answer:
d
Step-by-step explanation:
What is the maximum of the following set of data?
1.2, 1.3, 1.2, 1.5, 1.6, 1.1, 1.0
Answer:
1.6
Step-by-step explanation:
The maximum is the greatest number
Answer:
1.6
Step-by-step explanation:
What is the volume of a hemisphere with a radius of 9.2 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
volume of the hemisphere ≈1577.5 cm³
Step-by-step explanation:
To find the formula for calculating the volume of a hemisphere, we will follow the steps below:
write the formula for calculating the volume of a hemisphere.
volume of a hemisphere = volume of a sphere ÷2
= [tex]\frac{4}{3}[/tex]πr³ ÷ 2
=[tex]\frac{2}{3}[/tex] πr³
WHERE r is the radius
from the question given, radius= 9.2 cm
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the equation
volume of a hemisphere = [tex]\frac{2}{3}[/tex] πr³
= [tex]\frac{2}{3}[/tex] × 3.14 ×9.2³
= [tex]\frac{2}{3}[/tex] × 3.14 ×753.571
≈1577.5 cm³ to the nearest tenth of cubic centimeter
volume of the hemisphere ≈1577.5 cm³
Answer:
3261.8
Step-by-step explanation:
Solve C = 2Pi r for r .
A. r = Cpi/ 2
B. r = 2C/ pi
C. r = C/ 2pi
D. r = 2pi r
Answer:
D
Step-by-step explanation:
Given
C = 2πr ( isolate r by dividing both sides by 2π )
[tex]\frac{C}{2\pi }[/tex] = r → D
Simplify: (x − 7)(6x − 3) A. 6x2 + 21 B. 6x2 + 39x − 21 C. 7x2 − 10 D. 6x2 − 45x + 21
Answer:
6x2−45x+21 D.
Step-by-step explanation:
(x+−7)(6x+−3)
=(x)(6x)+(x)(−3)+(−7)(6x)+(−7)(−3)
=6x^2−3x−42x+21
=6x^2−45x+21
pls mark me brainliest
Answer:
6x^2 -45x +21
Step-by-step explanation:
(x − 7)(6x − 3)
FOIL
first; x*6x = 6x^2
outer: -3x
inner: -7*6x = -42x
last: -3*-7 = 21
Add them together
6x^2 -3x-42x +21
Combine like terms
6x^2 -45x +21
The following function is continuous at all points in the domain of real numbers. What is the value of n?
f(x)= 2x+2, if x > n
4x, if x [tex]\leq[/tex] n
A. -1
B. 0
C. 1/2
D.1
Answer:
D. 1Step-by-step explanation:
To solve this problem, we just need to find the common point of these linear function, beacuse they form a piecewise function which is continuous according to the problem, that means they are related by one common point.
Let's solve the following expression [tex]f(x)=g(x)[/tex], where [tex]f(x) =2x+2[/tex] and [tex]g(x)=4x[/tex]. So,
[tex]2x+2=4x\\2=4x-2x\\2x=2\\x=1[/tex]
Which means [tex]n=1[/tex], that is, if the n is greater than 1, then the function is defined by [tex]f(x)[/tex], if the n is least or equal than 1, then the functioni is defined by [tex]g(x)[/tex]
Therefore, the right answer is D.
Answer:
1. A, -1
2. D, 1
3. B, It is discontinuous because there is a value a for which f(a) is not defined 4. D, It is discontinuous because there is a value a such that lim f(x) does not exist
How to find the missing side of this triangle
Answer
3√21 cm
I hope it helps
For a 11 1/5 mile trail ride, trail markers will be set up every 1/10 mile. How many markers are needed. Show work.
Answer:
112
Step-by-step explanation:
11 1/5 divied by 1/10
What’s the area of the triangle for this question
Answer:
75
Step-by-step explanation:
to find the area of a triangle, multiply the base by the height, and then divide by 2. the division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. for example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.
Answer:
75
Step-by-step explanation:
The formula is hb/2
Find the sum and classify the polynomial based on degree and number of terms. 3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9) (A.) 4th degree polynomial with 4 terms (B.) 4th degree polynomial with 3 terms (C.) 3rd degree polynomial with 3 terms (D.) 3rd degree polynomial with 4 terms
From the given polynomial , the sum is [tex]4n^4-6n^3+7n^2-9[/tex]
It is a 4th degree polynomial with 4 terms
Given :
The polynomial sum is
[tex]3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9)[/tex]
Distribute 3n^2 inside the parenthesis
[tex]15n^4-6n^3+3n^2+(4n^2-11n^4-9)\\15n^4-6n^3+3n^2+4n^2-11n^4-9\\combine \; like \; terms\\4n^4-6n^3+7n^2-9[/tex]
From the above polynomial , the highest exponent is 4
The degree of the polynomial is 4
Total we have 4 terms in the polynomial
So the final polynomial is
4th degree polynomial with 4 terms
Learn more : brainly.com/question/10024410
Answer:
A: 4th degree polynomial with 4 terms
Step-by-step explanation:
Please help me find the properties of a square
Answer:
1)all the sides of the square are equal
2)all the angles in a square are 90°
3)diagonals are perpendicular to each other
4)diagonals are in equal length
I know this properties only
I hope it was helpful to u
Answer:
x=2
Step-by-step explanation:
Since all sides of the square are equal, hence here GD=FG
so,
8x = x+14
8x-x = 14
7x = 14
Dividing both sides by 7
x=2
Shen picks a rational number. What is true about the opposite of his number?
Answer:
It is the same distance from 0 as the original number
a rational number is any number that can be written as a fraction.
lets say she picked 1/4...the opposite would be -1/4...both are equidistant from 0.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Opposite: Shen's number changes sign, e. g., -2 to +2.
If you meant "reciprocal," then you must ensure that the denominator of the 'new' number is never zero. 3/5 => 5/3 is ok. But x/6 = 6/x is OK ONLY for x not equal to zero.