Answer:c
Step-by-step explanation:
The measures of the angles in triangle ABC are; m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
How to find the measures of angles in triangle ABCIt follows that the right angle is between the two shorter sides;
Hence, the angle measure, m∠C ≈ 90°.On this note, the angle, m∠A is opposite side BC;
Therefore, from sine formula;
Sin m∠A ≈ 24/25Sin m∠A ≈ 0.96m∠A ≈ sin-¹(0.96)m∠A ≈ 73.7°
And from sum of angles in a triangle;
m∠A ≈ 16.3°
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Why is 18:3 and 6:1 equivalent ratios
Answer:
Because if you multiply 6 three times, it comes out to be 18.
So basically, 6 x 3 = 18
To be sure, 18 ÷ 6 = 3
So, 18:3 = 6:1
18:3 and 6:1 are equivalent ratios because those are equivalent fractions.
What is the ratio?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
Explanation;
If we get the factors of the first ratio, we will see that;
18: 6 and 3, and 18 and 1
3: 3 and 1
Hence, if we display the ratios in fractions;
18/3 = 6/1
And then we write them in factors, we will get;
3x6/3x1 = 6/1
Simplifying;
3/3 x 6/1 = 2/1 x 3/1 = 1/6
Therefore, 18:3 and 6:1 are equivalent ratios.
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HELP!!!
Ten hours after a runner and cyclist leave the house at the same time and head in the same direction, the cyclist is 150 miles ahead of the runner. If the cyclist's speed is seven mph more than twice the speed the speed of runner, find the speed of the runner and the cyclist.
Speed of runner:
mph
Speed of cyclist:
mph
Answer:
8 mph and 23 mphStep-by-step explanation:
Let the speed of runner be r and speed of cyclist be c
Time = 10 hoursDifference in distance = 150 mWe have following equations based on the given
10c - 10r = 150c = 2r + 7Simplifying first equation
c - r = 15c = r + 15Comparing this with second equation
2r + 7 = r + 152r - r = 15 - 7r = 8 mphAnd finding the value of c
c = 8 + 15 c = 23 mphWhich answer choice is equal to −(2÷3)?
Answer: -2÷3
Step-by-step explanation:
-(2÷3) = -2÷3
Rectangle A is enlarged to create Rectangle B.
Rectangle A measures 4.1 cm by 5.2 cm.
Rectangel B measures 12.3 cm by 15.6 cm.
What is the scale factor?
Answer:
itz 5
Step-by-step explanation:
i took quiz
The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object stretches a spring 54cm, find the distance when the weight is 2-kg. round your answer to the nearest whole centimeter.
a. 65 cm
b. 12 cm
c. 0 cm
d. 6 cm
Please select the best answer from the choices provided.
.A
.B
.C
.D
Answer:
I think it is b
Step-by-step explanation:
The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.
What is the spring force?The spring force is directly proportional to the deflection of the spring. Let 'x' be the deflection of the spring due to force 'F'. Then the spring force is given as,
F ∝ -x
F = - kx
mg = - kx
The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object stretches a spring 54cm. Then the spring force is calculated as,
9g= - k (54)
- g / 6 = k
Then the equation is given as,
F = (g / 6) x
The distance when the weight is 2 kg will be given as,
2g = (g / 6) x
12 = x
The distance when the weight is 2 kg will be 12 cm. Then the correct option is B.
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Help whats the answer to this Help plz
Answer:
3/5
Step-by-step explanation:
when you multiply powers by a zero it = 0 so you would just end up with 3/5
10. Solve: 3( 3x + 1)-(4x + 1) = 6x - 3(x+4)
Can’t solve this, any suggestions?
Answer:-7
Step-by-step explanation:Let's solve your equation step-by-step.
3(3x+1)−(4x+1)=6x−3(x+4)
Step 1: Simplify both sides of the equation.
3(3x+1)−(4x+1)=6x−3(x+4)
3(3x+1)+−1(4x+1)=6x−3(x+4)(Distribute the Negative Sign)
3(3x+1)+−1(4x)+(−1)(1)=6x−3(x+4)
3(3x+1)+−4x+−1=6x−3(x+4)
(3)(3x)+(3)(1)+−4x+−1=6x+(−3)(x)+(−3)(4)(Distribute)
9x+3+−4x+−1=6x+−3x+−12
(9x+−4x)+(3+−1)=(6x+−3x)+(−12)(Combine Like Terms)
5x+2=3x+−12
5x+2=3x−12
Step 2: Subtract 3x from both sides.
5x+2−3x=3x−12−3x
2x+2=−12
Step 3: Subtract 2 from both sides.
2x+2−2=−12−2
2x=−14
Step 4: Divide both sides by 2.
2x /2
=
−14 /2
x=−7
What is 22.16345 rounded to the nearest ten thousandths place?
Answer:
22.164
Step-by-step explanation:
Answer:
22.1635
Step-by-step explanation:
Find the ten thousandth place and the look at the next number over. If it is 4 and below then keep the ten thousandth number the same and take off the hundred thousandth place. If it it is 5 or above then round the number up 1 place.
four ponds of banana cost $2.60. what is the cost perpond?
Answer:
.65c
Step-by-step explanation:
2.60/4 equals .65
Answer:
.65
Step-by-step explanation:
2.06 divided by 4=.65
Hope this helped!
Round the number to the place of the underlined digit. 42.76 The rounded number is
Answer:
what am i supposed to be rounding to
Step-by-step explanation:
if i was rounding to the tenths it would be 42.8
7th grade math help me plzzzz
Answer:
35
Step-by-step explanation:
Which equation is an identity?
3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
2x + 3 = 2 x plus 3 equals StartFraction one-half EndFraction left-parenthesis 4 x plus 2 right-parenthesis plus 2.(4x + 2) + 2
StartFraction one-third EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals 3 left-parenthesis x plus 1 right-parenthesis minus x minus 2.(6x – 3) = 3(x + 1) – x – 2
Answer:
c. 2x + 3 = 1/2(4x+2)+2
Step-by-step explanation:
Hope this helpss!!
Answer:
2x + 3 = 1/2(4x+2)+2
Step-by-step explanation: on edge
3.99 x 10^-2 - 1.5 10^-3
put it in scientific notation
Answer:
its 3.45 x 10^5
Step-by-step explanation:
The solution of the given expression will be 3.84 x 10⁻².
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3.99 x 10⁻² - 1.5 x 10⁻³. The expression will be solved as below:-
E = 3.99 x 10⁻² - 1.5 x 10⁻³
E = ( 3.99 x 0.15 ) x 10⁻²
E = 3.85 x 10⁻²
Therefore, the solution of the expression is 10⁻².
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hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes hugo wants to make 9 keychains today if hugo works at the same rate today how long will it take him to make the keychains
Answer: 45 minutes.
Step-by-step explanation:
First, divide. 30 divided by 6 is 5.
Then, multiply 5 and 9. That equals 45 so 45 is your answer.
It takes 45 minutes to make the 9 keychains.
Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the time taken to make 9 keychains be x.
Now, 6:30::9:x
⇒ 6×x=30×9
⇒ 6x=270
⇒ x=45 minutes
Therefore, it takes 45 minutes to make the 9 keychains.
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Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7).
y = 2x + 5
a.
C.
1
•x-5
y =
b.
d.
1
y = -x + 5
2
1
y = --X + 5
Please select the best answer from the choices provided
A
B
ОООО
C
D
Answer:
Step-by-step explanation:
you want a line with slope = -1/2
So, using the point-slope form of the line,
y-7 = -1/2 (x+4)
y = -1/2 x + 5
Hard to tell what your choices are ...
PLEASSEEE HELP OMG I WILL DO ANYTHING!!! IM BEGGING
Answer:
180 boxes
Step-by-step explanation:
The rate of change is 10 boxes per hour, so if you multiply 10 times 18 you will get 180 which is the answer.
HELPPP look at the picture I’m stuck on this
Answer:
the last graph (D)
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16, a) what is the probability that the sample mean is above 95? (4 d.p.) b) What is the value, of which there is 97.5% chance that a sample mean is less than that value? (1 d.p.)
Answer:
a) 0.0228
b) 94.6
Step-by-step explanation:
The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,
a) what is the probability that the sample mean is above 95? (4 d.p.) b)
= x = 95
Hence:
z = 95 - 75/40/√16
= 20/40/4
= 20/10
= 2
Probability value from Z-Table:
P(x<95) = 0.97725
P(x>95) = 1 - P(x<95) = 0.02275
The probability that the sample mean is above 95 to 4 decimal places = 0.0228
b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?
97.5% chance = z score for the confidence interval = 1.96
Hence:
z = (x-μ)/σ/√n
1.96 = x - 75/40/√16
1.96 = x - 75/ 40/4
1.96 = x - 75/10
Cross Multiply
1.96 × 10 = x - 75
19.6 = x - 75
x = 19.6 + 75
x = 94.6
The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6
Solve and show your work.
12-[2 + 6 ÷ (10 - 2³)]
Answer:
7
Step-by-step explanation:
[tex]2^{3} = 8[/tex] Plug 8 in: 12 - [2 + 6 ÷ (10 - 8)]10 - 8 = 2Plug 2 in: 12 - [2 + 6 ÷ (2)]6 ÷ 2 = 3Plug 3 in: 12 - [2 + 3]2 + 3 = 5Plug 5 in: 12 - 512 - 5 = 7I hope this helps!
A fruit juice box contains 6% juice how is this percent rent as a decimal
Answer:
0.06
Step-by-step explanation:
6% = 0.06
0.06 as a decimal Hope this helped!
What does the passage state that people can do if the government fails to protect their rights? stop paying taxes create a new country stop voting in elections create a new government
Answer:
create a new government
Step-by-step explanation:
hope it helps
The passage suggests that creating a new government can be a suitable option if the existing government fails to protect people's rights.
If the current government fails to defend people's rights, the paragraph argues that forming a new government may be a viable alternative. This option may be explored because it provides the potential to create a system that is more aligned with the ideas and values that people desire in governance.
People may establish a system that prioritizes the protection of rights, assures accountability, and promotes fairness and justice by forming a new government. Individuals may use it to create new laws, rules, and a constitution that represent their chosen ideals and provide greater safeguards for their rights.
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−2/3(12c−9)+14c
I need the answer
Answer:
6c+6
Step-by-step explanation:
-24/3c+18/3+14c
-8c+6+14c
6c+6
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of what?
a) vertical multiplication
b) FOIL
c)The Distributive Property
d) multiplying two binomials
Answer: The distributive property.
Step-by-step explanation:
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.
What is the Distributive Property?It is a property of multiplication and division. It states that when either of these operations is written outside a bracket, the operation must be applied to all terms inside the bracket when it is opened.
(a + b)c = ac + bc
The given equation is an example of:
It is given that:
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x).
We can see that when the bracket of the second term is opened, the first term is multiplied across all the terms that were within the bracket.
This is a feature of the distributive property. It is called the distributive property of multiplication.
Therefore, we have found that the equation (x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.
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Please help ASAP
Thank you
let f(r) be the number of riders on a bus r hours after 8 am. Explain the meaning of the statement f(5)=23.
Answer:
See explanation
Step-by-step explanation:
Given
f(r) => Number of people in the bus after 8am
Required
Interpret f(5) = 23
Going by the analysis in the question, the interpretation goes this:
5 hours after 8 am, there are 23 riders on a bus
We can also interpret as:
There are 23 riders on a bus at 1 pm
Since 1 pm = 5 hours after 8am
Which statement about -8 and
-12 is true?
Answer:they are both neagtive numbers.
Step-by-step explanation:
they say it right in front of you.
What is the solution set of the equation |2x-9| = -9
Answer:
tbh i don't kno either lol
Step-by-step explanation:
hehehe
What is the y-intercept of y = 2x + 5
Answer:
5
Step-by-step explanation:
Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of the figure.
Answer:
36z+28+8z+40+12z+60+48+16z=
36z+8z+12z+16z+28+40+60+48=
72z+176
Step-by-step explanation:
Solve for x 2(-4x+2)=28
Answer:
x=-3
Step-by-step explanation:
Divide both sides by 2, so -4x+2=14
Subtract 2 from both sides, -4x=12
Divide both sides by -4, so x=-3
Answer:
4x2 = 28
Step-by-step explanation: