Using the image above, what is the measure of Side AC? Round to the nearest hundredth
Answers
To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units
Trigonometric RatioIn the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.
Data;
Angle = 32.9 degreesHypothenuse = 3.4Let's use cosine rule for this.
[tex]cos\theta = \frac{adjacent}{hypothenuse}[/tex]
Proceed to substitute the values into the equation and solve.
[tex]cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85[/tex]
From the calculations above, the value of side AC is 2.85 units
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Related Questions
There are eight swimmers in a competition where the top three swimmers advance. in how many ways can three swimmers advance?
Answers
The number of ways in which three swimmers can advance is 56.
What is a combination?The combination is the selection of items without taking the order of arrangement into consideration.
The formula used in calculating the combination is:
[tex]\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}[/tex]
[tex]\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}[/tex]
[tex]\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}[/tex]
[tex]\mathbf{C(n,r) = 8\times 7}[/tex]
C(n, r) = 56
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Nick bought a new car.
each year the car depreciates in value by 12%.
work out the number of years it takes for the car to half in value.
?
Answers
After 5.4 years, the value of the car will be half the initial value.
How many years take for the car to be half in value?
We know that the value decreases by 12% each year.
Then the value of the car can be modeled with an exponential decay, written as:
[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]
Where A is the initial value, and t is the number of years.
The value will be halved when:
[tex](0.88)^t = 0.5[/tex]
We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:
[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]
This means that after 5.4 years, the value of the car will be half the initial value.
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find two integers who’s sum is 20 and products is 100
Answers
Answer: 10
Step-by-step explanation:The answer is 10
Step-by-step explanation:
10+10=20
10 * 10= 100
Hope it helps you.
PICKING BRANILIEST HELP WITH 1
Answers
Answer:
1. x=37
2. x= 50
Step-by-step explanation:
Add up the two angles you already have, 43+100 and then subtract from 180.
180-143= 37
Do the same thing for number 2.
Add up 99+31, which is 130
The subtract from 180
180-130=50
The equation for triangles is x + (the angle measures) = 180
Hope this helps <3
rewrite the formula p=2L+2w
Answers
P=2(l+w)
A Sparkle Soda has a radius of 2.8 cm and a height of 11.5 cm. Find the volume of the can of soda to the nearest hundredths.
Answers
Answer:
283.86 cm³
Step-by-step explanation:
A can of soda has the shape of a cylinder.
Formula for finding volume of a cylinder :
Volume = πr²h
===============================================================
Solving :
⇒ Volume = 22/7 × (2.8)² x 11.5
⇒ Volume = 22/7 x 2.8 x 2.8 x 11.5
⇒ Volume = 22 × 0.4 × 32.2
⇒ Volume = 8.8 × 32.2
⇒ Volume = 283.86 cm³
A date is picked at random on the calendar for april. what is the probability that the date chosen will be on a two digit odd number
Answers
Answer:
1/3
Step-by-step explanation:
That is the simplified version of the number of all the double-digit odd days (11,13,15,17,21,23,25,27,29), 10, over the total number of days in April, 30
10/30=1/3
HELP!!!
Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
I'm confused.
Answers
$8,966.02 is your answer
The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months. what is the life span of an appliance that has a z-score of –3?
Answers
Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the parameters are given as follows:
[tex]\mu = 48, \sigma = 8, Z = -3[/tex].
Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-3 = \frac{X - 48}{8}[/tex]
X - 48 = -24
X = 24.
The life span of an appliance that has a z-score of –3 is of 24 months.
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Answer:
Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.
Normal Probability Distribution
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
The z-score measures how many standard deviations the measure is above or below the mean.
Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the parameters are given as follows:
.
Hence:
X - 48 = -24
X = 24.
The life span of an appliance that has a z-score of –3 is of 24 months.
Darion picks 16 grapefruits off
a tree in his backyard. He puts
4 grapefruits in each bag. How
many bags does he need?
Answers
Number of bags he need = 16/4 = 4
He needs [tex]\fbox{4}[/tex] bags.
Answer:
he would need 4 bags
Step-by-step explanation:
16 divided by 4 is 4
you can count by 4 to find your answer
The G.C.D of the three number and their L.C.M is 900. Two of the number are 60 and 150. what are the other possible numbers
Answers
PLSS HELP I NEED THIS ASAP!!
Answers
Answer:
b) 95 degrees
Step-by-step explanation:
Remember that the internal angles of a triangle add up to 180°.
Solving :
45° + 40° + ∠x = 180°∠x + 85° = 180°∠x = 95 degreesLet that angle be x
Apply angle sum property
x+45+40=180x+85=180x=180-85x=95°PLEASE HELP ILL MARK BRAINEST!!
Answers
Answer:
-3,-2
Step-by-step explanation:
Answer:
-3,-2
Step-by-step explanation:
if it goes down in numbers but increases in x that would mean the value would change by that much (-3,-2).
The students in Mr. Tate's art class painted landscapes showing the different seasons of the year. There were 7 paintings of winter, 5 paintings of spring, 8 paintings of summer, and 5 paintings of autumn.
What percent of the paintings were of summer?
Answers
Step-by-step explanation:
7+5+8+5=25 All the paintings
paintings of summer:8
8 of 25
25×4=100
8×4=32
paintings of summer:32%
x+x2 +2=44 solve the equation quick
Answers
Answer:
x=10.5 or x=6=x=−7
Step-by-step explanation:
x+x^2+2=44
x+x(x)+2=44
2x(x)+2=44 1. -2 on both sides
2x^2=42
2x(2x)=42
4x=42 2. /4 on both sides
x=10.5
Answer:
x = -7, 6.
Step-by-step explanation:
x+x2 +2=44
x^2 + x - 42 = 0
(x - 6)(x + 7) = 0
x =-7, 6
How many balloons are in the air if there are 20 ballons and 5 pop how many are left
Answers
Answer:
15 balloons
Step-by-step explanation:
20 - 5 = 15
hope this helps:)
Answer:
15 ballons
Step-by-step explanation:
When analyzing the relationship in non-linear data as a linear association, when should the strategy of ignoring outliers be used?
If ignoring half of the data points allows the remaining data to be represented by a curved line.
If ignoring one or two data points allows the remaining data to be represented by a straight line.
If ignoring half of the data points allows the remaining data to be represented by a straight line.
If ignoring one or two data points allows the remaining data to be represented by a curved line.
Answers
Explanation:
An outlier is typically one or two points that differ greatly from the rest of the data. If ignoring these outliers contributes to the ability to identify non-linear data as a linear association, then a straight line should still be present regardless of these two points.
Water flows through a pipe at a rate of 620 gallons every 5.5 minutes. Express this rate of flow in cups per second.
Answers
Answer: 16 cups per second.
Step-by-step 5.5 minutes into seconds 320.
620 gallons into cups 9920.
9920 divided by 320 seconds.
16 cups per second
Which set of numbers cannot represent the lengths of the sides of a triangle?
A.
7, 5, 6
B.
9, 12, 19
C.
6, 8, 11
D.
7, 18, 11
Answers
Pls help! I'm a bit confused!!
Answers
Answer:
Step-by-step explanation:
So whenever you see alphabets in math, these are called variable. Like the word suggests, variables can have different values depending on the problem.
For the first problem, the variable k equals 10, and the question asks you when k=10, what does that make k+26. All you do is substitute the value of k with the given value of k=10, and you get 10 + 26 = 36.
This way you can solve the rest of them.
Ask me if you get confused and we can work on rest of them.
Answer:
36529412.5112Step-by-step explanation:
Q1
k = 1010 + 2636Q2
n = 134(13)52Q3
a = 27 and b = 327/39Q4
x = 63(6) - 1418 - 144Q5
z = 2(2)² + 8.54 + 8.512.5Q6
x = 4 and y = 84(36 - 8)4(28)112Which of the following is not a valid probability?
A. 1.3
B. 0
C. 0.4
D. 1
Answers
Answer:
A 1.3
Step-by-step explanation:
probabilities lie between 0 and 1 and cannot be more or less
Find the value of x of a octagon with a degree of (16x+23)
Answers
180° x (8 sides - 2)
= 1080°
8 corners of an octagon
Each corner has an angle
1080 / 8 = 135°
16x + 23 = 135
16x = 112
x = 7
What is the area of ΔABC to the nearest tenth of a square millimeter?
Answers
Answer:
35 + 35 = 70
Step-by-step explanation:
Add the area of ABC
A story or an account of a personal experience that illustrates the central idea of a text is a(n) ______. A;anecdote B;statistic C;satire
Answers
I will mark brainlist to whoever answers first
Answers
Answer:
its D
Step-by-step explanation:
i did the math ez
Answer:
C) ∠V , ∠U , ∠W
Step-by-step explanation:
The smallest angle is opposite to the smallest side.
Sides in ascending order: WU < VW < UV
Angles in ascending order: ∠V < ∠U < ∠WAvery just got hired for a new job and will make $55,000 in her first year. avery was
told that she can expect to get raises of $1,500 every year going forward. how much
money in salary would avery make in her 18th year working at this job?
Answers
Avery's salary after 18 years will be equal to $82000.
What is the salary?The amount of money paid by any company to their employees on monthly basis is called salary.
Given that:-
Avery just got hired for a new job and will make $55,000 in her first yearAvery was told that she can expect to get raises of $1,500 every year going forward.The amount of salary taken by Avery in her 18th year will be:-
Per year incrememnt = $1500
So total increment in 18 years will be = 1500 x 18 = $27000
Total salary in 18th year will be = 55000 + 27000 = $82000
Therefore Avery's salary after 18 years will be equal to $82000.
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Cereal costs $.19 per ounces. How much does 15 oz of cereal cost?
Answers
Create a cylinder with a height of 6 cm and a radius of 10 cm. notice the volume calculation is 1,885.0 cm3. drag the orange dot to double the cylinder’s height. what do you notice about the new volume compared to the original volume?
Answers
The volume of the cylinder will be equal to V=1885 cubic cm.
What is volume?The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The cylinder is the right circular object with some height like bamboo, bottles, rods etc all are cylinders.
The formula for calculating the volume of the cylinder is given as:-
V=πr²H
Here we have the radius of the cylinder r= 10 cm and the height of the cylinder is H=6 cm
V= π x (10)² x 6
V=1885 cubic cm.
Hence the volume of the cylinder will be equal to V=1885 cubic cm.
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Answer:
It doubled
Step-by-step explanation:
Got 100%
h(t)=−(t−7)²+4
Write the smaller t first, and the larger t second.
smaller t=?
larger t=?
2) What is the vertex of the parabola?
(?,?)
Answers
Answer:
1. smaller value of t = 5
larger value of t = 9
2. (7, 4)
Step-by-step explanation:
Given function: [tex]h(t)=-(t-7)^2+4[/tex]
To find the zeros, set the function to zero and solve for t:
[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex] where (h, k) is the vertex
Therefore, the vertex of the given function is (7, 4)
Choose all of the following statements that suggest a positive association.
A. The less education a person has, the less money they will likely earn.
B. The less fruits and vegetables a person eats, the lower their risk for cancer.
C. The smaller a person's shoe size, the larger their pant size.
D. The more you study, the more likely you are to earn a better grade.
Answers
Answer:
D
Step-by-step explanation:
It is only d because that is the only positive statement.