In ΔXYZ, the measure of ∠Z=90°, ZY = 4, XZ = 3, and YX = 5. What ratio represents the tangent of ∠X?
Answer:
[tex]tan\ X= \frac{4}{3}[/tex]
Step-by-step explanation:
Given
[tex]Z=90\°[/tex]
[tex]ZY = 4[/tex]
[tex]XZ = 3[/tex]
[tex]YX = 5[/tex]
Required
Determine tan x
This question can be illustrated using the attached image
Tan of an angle is calculated as:
[tex]tan \theta = \frac{Opposite}{Adjacent}[/tex]
In this case, it is:
[tex]tan\ X= \frac{ZY}{XZ}[/tex]
Substitute values for ZY and XZ
[tex]tan\ X= \frac{4}{3}[/tex]
Hence, the required ratio is 4/3
Answer:
4/3
Step-by-step explanation:
Help me answer the math
Answer: 1. 2
2. 5
3. 2
4. 2
5. 2
Step-by-step explanation:
Find the length of the missing side. The triangle is not drawn to scale.
Answer:
c = 10
Step-by-step explanation:
To find the hypotenuse of the triangle you would do the value of leg^2 + leg^2 to find the hypotenuse. Or you can look at it like a^2 + b^2 = c^2. But in order to get the value you would have to find the scare root of c^2.
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In this case though we are doing 6^2 + 8^2 which equals 100. After calculating that we know c^2 power equals 100. So know you have to find the actual value of c by itself to get your hypotenuse. So we would find the square root of 100 which is 10. Hope this helps!!
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Important words
Hypotenuse - In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Cathetus (legs of triangle) - Either of the sides that are adjacent to the right angle.
Someone please help I will give u 1¢
Answer:
3rd option
y=1/2 x-3
Find the value of StartFraction partial derivative z Over partial derivative x EndFraction at the point (1,1,1) if the equation 5 xy plus z Superscript 4 Baseline x minus 3 yz equals 3 defines z as a function of the two independent variables x and y and the partial derivative exists.
Looks like the given curve is
5xy + z⁴x - 3yz = 3
Differentiate both sides with respect to x :
5y + 4z³x ∂z/∂x + z⁴ - 3y ∂z/∂x = 0
Solve for ∂z/∂x :
(4z³x - 3y) ∂z/∂x = - (5y + z⁴)
∂z/∂x = - (5y + z⁴) / (4z³x - 3y)
At the point (1, 1, 1), this derivative is
∂z/∂x (1, 1, 1) = - (5 + 1) / (4 - 3) = -6
Pleeeeeeeeeeeeeeeeaaaaaaaaaaaaaasssssssssssssseeeeeeee help ASAP and giving 33 points the ma is the -2 and the 5 and t is -4 and h is -8
Answer:
-320
Step-by-step explanation:
-2×5 (-4×-8)
-10(32)
-10×32
-320
Solve the equation for m: m-n=5
Answer:
m=n+5
Step-by-step explanation:
You just add n on both sides to get m because m is isolated on one side and variables and numbers on the other side of the equal sign.
Answer:
m=n+5
Step-by-step explanation:
m-n=5
add n on both sides
m=n+5
Principal = $500 Interest rate =5% Time = 5 years What is the interest earned?
Answer:
125dollars
Step-by-step explanation:
follow me say a thanks mark me branliest
Please help and leave a small explanation!
Clancy has 4 2/3 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 3/4 of a cup.
Write a multiplication equation to determine the number of people, p, who can be invited to the party.
Answer:
4 2/3 divided by 3/4 = p
Step-by-step explanation:
whatever the answer to the equation is the amount of people able to be invited
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].
The number of people that can be invited to the party is 6 people.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: 2x + 6 = 7 is an equation.
We have,
Amount of cups of yogurt Clancy have = [tex]4\frac{2}{3}[/tex]
Amount of cups of yogurt each person received = 3/4 of a cup
The number of people p that can be invited to the party:
3/4 p = [tex]4\frac{2}{3}[/tex]
3/4 p = 14/3
p = 14/3 x 4/3
p = 56/9
p = 6.22
p = 6
Thus,
The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].
The number of people that can be invited to the party is 6 people.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
The drawing below shows part of an inch ruler. Each inch is broken into smaller pieces to measure more accurately than whole inches. Label each mark on the ruler with the correct fraction
Farmers market Sells grapefruit strawberries and avocado they each have a different cost and are price per box Alyssa Buys two boxes of strawberries and three boxes of avocados and spent $23 London by three boxes of grapefruit and four boxes of strawberries in Spain $19 Tina by seven boxes of grapefruit and five boxes of avocados in Spencer $51 find the missing quantity below
Answer:
The cost of grapefruits per box is $3, The cost of strawberries per box is $2.5
The cost of avocados per box is $6
Step-by-step explanation:
Let us represent the price of Grapefruits per box = g
Strawberries per box = s
Avocados per box = a
Alyssa buys two boxes of strawberries and three boxes of avocados and spent $23
2s + 3a = 23 ....... Equation 1
a = 23 - 2s
London buys three boxes of grapefruit and four boxes of strawberries in Spain $19
3g + 4s = 19 ....... Equation 2
Tina buys seven boxes of grapefruit and five boxes of avocados in Spencer $51
7g + 5a = 51..... Equation 3
2s + 3a = 23 ....... Equation 1
3g + 4s = 19 ....... Equation 2
7g + 5a = 51..... Equation 3
Substituting 3a = 23 - 2s in Equation 3
a = 23 - 2s/3
7g + 5(23 - 2s/3) = 51
7g +( 115 - 10s/3) = 51
Multiply through by 3
7g × 3 + ( 115 - 10s/3) × 3 = 51 × 3
21g + 115 - 10s = 153
21g -10s = 38 ........ Equation 4
Combining Equation 2 and 4
3g + 4s = 19 ....... Equation 2 × 10
21g -10s = 38 ........ Equation 4 × 4
30 + 40s = 190.. Equation 5
84g - 40s = 152 .... Equation 6
We Add Equation 5 and Equation 6 to eliminate s
114g = 342
g = 342/114
g = $3
To find s, cost 0f straw berries
g = $3
3g + 4s = 19 ....... Equation 2
3(3) + 4s = 19
9 + 4s = 19
4s = 19 -9
4s = 10
s = 10/4
s = $2.5
For find a, the cost of avocados.
7g + 5a = 51..... Equation 3
g = $3
7(3) + 5a = 51
21 + 5a = 51
5a = 51 - 21
5a = 30
a = 30/5
a = $6
g =$ 3, s =$ 2.5 and a = $6.
Therefore:
The cost of grapefruits per box is $3.
The cost of strawberries per box is $2.5 and
The cost of avocados per box is $6
Solve for y
3(7y + 4) = 15y + 6y +4+8
Answer: the are no values of y that make it true
Step-by-step explanation: no solution
Answer:
-4/7
Step-by-step explanation:
Can Y’all Please Help Me ❗️
Answer:
T
t
f
t
Step-by-step explanation:
PLEASE HELP ITS ALREADY LATE
I neees help please
emilio used addition of two rational numbers to solve a problem.Jim used subtraction to solve the same problem. Is it possible that they both solved the problem correctly? Use a specific example to explain
Answer:
yes it is possible.
for example: +7-7=0
Step-by-step explanation:
Find m
L and P is 85
P, M, and N is 23
Answer:
108 degrees for angle LMN
We know that there are only two angles total. We are looking for angle LMN which includes both angle LMP and angle PMN. To do this, we simply add the values of both. So, 85+23= 108 degrees
James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.
Answer:2 4 and 5
Step-by-step explanation:
Rewrite 14/32 in simplest form.
Answer:
7/16
Step-by-step explanation:
Answer:
14/32 = 7/16
Step-by-step explanation:
You divide each number by two
Need help with this problem please! I believe it is b but I get a different answer everytime I redo it!
Answer:
no u right its b
Step-by-step explanation:
If X = 6 Which number line shows the value of X? Good answer gets brainliest
Answer:
B
Step-by-step explanation:
The absolute value of a number means its distance from zero.
Therefore:
I-6I=6
Answer B shows that -6 is 6 units on the number line from zero, so that is the correct answer.
Find the unit rate. Round to the nearest hundredth, if necessary.
$340 for 18 ft2
Answer:
18.89
Step-by-step explanation:
340/18=18.8888
18.888 to the nearest hundredth is 18.89
Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=
Answer:
-2.7
thats the answer but i cant submit without some words lol
Answer:
n= 1.8
Step-by-step explanation:
Solve the following expression:
n/-15 = -1.2
-Multiply -1.5 on both sides:
(-1.5) n/-1.5 = -1.2(-1.5)
n=1.8
Therefore, the final answer is n = 1.8.
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d=65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel than Theo's family
10 miles per hour
15 miles per hour
30 miles per hour
65 miles per hour
Graph is missing, so i have attached it.
Answer:
15 miles per hour
Step-by-step explanation:
We are given that d = 65t models the distance, d, that Malcolm's family travels after t hours.
Since we are comparing speed of both families, then we will find the speed here.
Formula for speed is;. Speed = distance/time
d = 65t and we know that d is distance and t is time. Thus, d/t = 65 m/hr = speed.
For Theo's family, looking at the image attached;
At a distance of 50 miles, time spent is 1 hr
At a distance of 100 miles, time spent is 2 hrs
At a distance of 150 miles, time spent is 3 hrs
At a distance of 200 miles, time spent is 4 hrs
Thus, speed = 200/4 or 150/3 or 100/2 or 50/1.
They all give a constant value of 50 m/hr.
Thus, speed of Theo's family = 50 mi/hr
Comparing this to that of Malcolm's family,we can see that Malcolm's family were faster by 65 - 50 = 15 mi/hr
Answer:
15
Step-by-step explanation:
PLSSSS JUST SOLVE IT WITH THE INSTRUCTION IT GIVES PLSS THANK YOU
Answer:
area=47cm²
Step-by-step explanation:
Amy makes $84 for 12 hours of babysitting her first week on the job. The second week she babysits for 14
hours and earns $98. The third week she babysits for 20 hours and earns $140. She makes a regular
amount of pay per hour. Which equation below could be used to calculate her total earnings each week,
E, based on the number of hours she babysits, n?
Answer: she won: 322
Step-by-step explanation:
first add all the amounts of money she got for babysitting some devils, and there your equation is DONE
You need to make at least 360 wraps for a party. You can make 9 wraps per minute.
How long will it take you to make the number of wraps you need?
In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.
Answer:
40 minutes
Step-by-step explanation:
What the person above/below me is saying, is you have to divide 360 and 9, to find x! X=40, 360/9=40! That's what they mean. I hope this helped you understand their answer!
It will take 40 minutes for me to make the 360 wraps that I need.
9x ≥ 360 ⇒ x ≥ 40
Step-by-step explanation:
I have to make at least 360 wraps for a party.
I can make 9 wraps per minute.
So, it will take minutes for me to make the 360 wraps that I need.
If I work for x minutes to make wraps, then I will be able to make 9x wraps.
So, the inequality that models the given condition is
9x ≥ 360
⇒ x ≥ 40 {Dividing both sides by 9}
Therefore, I need to work at least 40 minutes to reach my goal. (Answer)
Question #3: Can you add the following terms? Why or why not?
3V2 + 2V2
You measure 22 watermelons' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places
Answer:
Step-by-step explanation:
Confidence interval formula is expressed as;
CI = xbar ±(z*s/√n)
xbar is the mean = 36
z is the z score at 95% CI = 1.96
s is the standard deviation = 6.9
n is the sample size = 22
Substitute
CI = 36 ±(1.96*6.9/√22)
CI = 36 ±(1.96*6.9/4.6904)
CI = 36 ±(1.96*1.4711)
CI = 36 ± 2.8833
CI = (36 - 2.8833, 36 + 2.8833)
CI = (33.1167, 38.8833)
Hence the 95% CI for the true population mean is 33.12<x<38.88
What is the distance between 0.6 and 0
Answer:
on the number its between 0 and 1
Step-by-step explanation:
if you jump from 0 to 6 you would have 6 jumps, so it would be 6.
0.6 equals 0.60 so it could ALSO be 60 jumps. (incase u needed that)
Poooo sieieoleltlrllrlr
Answer:
ol rjlrjlfjcohcoucoycl lj
Answer:
:3
Step-by-step explanation: