1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
amid [387]
3 years ago
11

Please help, what is the measurement of YZ?

Mathematics
2 answers:
VLD [36.1K]3 years ago
6 0

Answer:

24.4

Step-by-step explanation:

tan(16) = opposite/adjacent

tan(16) = 7/YZ

YZ = 7/tan(16)

YZ = 7/0.287

YZ = 24.39

YZ = 24.4

aliya0001 [1]3 years ago
3 0

Answer:24.39

Step-by-step explanation:

Let YZ be x

Tan x = opp/Adj

Tan 16 = 7/x

Cross multiply

x Tan 16 = 7

0.287x = 7

Divide both side by 0.287

x =24.39

You might be interested in
The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data
Makovka662 [10]

Answer:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

\bar x= \frac{\sum x_i}{n}

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

And the model obtained for this case is:

y = -3.4 +5.2 x

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

8 0
3 years ago
Convert 4/7 to 42nds
Mademuasel [1]

Answer:

24... I hoped dis helped.

7 0
3 years ago
HELP! I WILL MARK BRAINLIEST!
jekas [21]

Answer:

A

Step-by-step explanation:

it is A

6 0
3 years ago
3. A rare species of aquatic insect was discovered in the Amazon rainforest. To protect the species, environmentalists declared
navik [9.2K]

The number of months until the insect population reaches 40 thousand is 14.29 months and the limiting factor on the insect population as time progresses is 250 thousands.

Given that population P(t) (in thousands) of insects in t months after being transplanted is P(t)=(50(1+0.05t))/(2+0.01t).

(a) Firstly, we will find the number of months until the insect population reaches 40 thousand by equating the given population expression with 40, we get

P(t)=40

(50(1+0.05t))/(2+0.01t)=40

Cross multiply both sides, we get

50(1+0.05t)=40(2+0.01t)

Apply the distributive property a(b+c)=ab+ac, we get

50+2.5t=80+0.4t

Subtract 0.4t and 50 from both sides, we get

50+2.5t-0.4t-50=80+0.4t-0.4t-50

2.1t=30

Divide both sides with 2.1, we get

t=14.29 months

(b) Now, we will find the limiting factor on the insect population as time progresses by taking limit on both sides with t→∞, we get

\begin{aligned}\lim_{t \rightarrow \infty}P(t)&=\lim_{t \rightarrow \infty}\frac{50(1+0.05t)}{2+0.01t}\\ &=\lim_{t \rightarrow \infty}\frac{50(\frac{1}{t}+0.05)}{\frac{2}{t}+0.01}\\ &=50\times \frac{0.05}{0.01}\\ &=250\end

(c) Further, we will sketch the graph of the function using the window 0≤t≤700 and 0≤p(t)≤700 as shown in the figure.

Hence, when the population P(t) (in thousands) of insects in t months after being transplanted by P(t)=(50(1+0.05t))/(2+0.01t) then the number of months until the insect population reaches 40 thousand 14.29 months and the limiting factor on the insect population is 250 thousand and the graph is shown in the figure.

Learn more about limiting factor from here brainly.com/question/18415071.

#SPJ1

8 0
2 years ago
Help me please ………..
Andrews [41]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which number is the square of an integer and could also be the cube of another integer?
    11·2 answers
  • Write the equation in slope intercept form.
    11·2 answers
  • Suppose each license plate in a certain state has three letters followed by three digits. The letters and and the digits , , and
    7·1 answer
  • What is 71,781 divided by 8​
    13·1 answer
  • What answer question please now
    15·1 answer
  • Write a system of equations modeling the given conditions. Then solve the system by the substitution method and find the two num
    14·1 answer
  • Simplify the expression <br> 18 + 12x
    7·1 answer
  • What is the largest number that has the factors of 3, 4 and 5 between 57 and 250?
    9·1 answer
  • A block of metal with volume 15 m3 and density 8,800 kg/m3 is combined with another metal of mass 850 kg and volume 6.2 m3 to fo
    11·2 answers
  • 2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,00
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!