Please help!!! Photo below!! Any work helps
Answer:
296.1 yards
Step-by-step explanation:
The surveyor is interested in solving a triangle with two sides and the enclosed angle known. The Law of Cosines is used for that purpose.
The angle interior to the triangle where the surveyor turned is the supplement of the turning angle:
180° -110° = 70°
The law of cosines tells us the relation of the given sides (a, b) and angle (C) to the unknown side (c) is ...
c² = a² +b² -2ab·cos(C)
c² = 245² +270² -2·245·270·cos(70°) ≈ 87675.7350
c ≈ √87675.7350 ≈ 296.10
The length of the lake is about 296.1 yards.
1. Trey just planted a small tree. He wanted to help it grow straight so he anchored the tree to the ground in three places using equal lengths of wire. The wires are tied to the tree 8 feet above the base of the tree. If Trey anchored each wire to the ground 6 feet from the base of the tree, what length of wire, in feet, is required for each anchor?
Answer:The correct answer is:
90 feet.
Explanation:
Each wire forms a right triangle with the tree and the ground. The height from the ground to the point on the tree the wire is attached to, 3 feet, is one leg. The length from the tree to where the wire is staked in the ground, 4 feet, is the other leg.
We use the Pythagorean theorem to find the hypotenuse: 3²+4²=c²; 9+16=c²; 25=c²; √25=√(c²); 5=c
This means each wire will be 5 feet long. There are 3 wires per tree, which gives us 5*3 = 15 feet. There are 6 tree, so this is 15*6 = 90 feet of wire.
Step-by-step explanation:
Jason has 5 packs of pencils with the same number of pencils in each one. If Jason has 50 pencils total, which equations could be used to find the number of pencils in each pack?
Answer:
5x=50
Step-by-step explanation:
Divide 50 by 5x so you get x = 10 (or just do basic multiplication)
please solve quickly
Answer:
x = 31°
Step-by-step explanation:
z is the length of the midsegment of the triangle. (Given)
[tex]\implies[/tex] midsegment will be parallel to the third side of the triangle.
[tex]\implies x=31\degree[/tex] (Corresponding angles)
Which expression is a difference of squares with a factor of 5x − 8? 25x2 − 16 25x2 16 25x2 − 64 25x2 64.
The product of the factors (5x − 8) and (5x + 8) is 25x² − 64. Then the correct option is C.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
One factor of the polynomial is given which is 5x − 8.
Then the polynomial will be
Let the other factor be 5x + 8
Then their product will be
(5x − 8)(5x + 8)
(5x)² − 8²
25x² − 64
More about the polynomial link is given below.
https://brainly.com/question/17822016
The bearing of P from Q is 046º.
The bearing of R from Q is 124º.
QR = QP.
Work out the bearing of R from P.
Answer:
175°
Step-by-step explanation:
Bearing angles are usually measured clockwise from North. Reverse bearing angles differ from forward bearing angles by 180°. These relations and the usual angle sum relation for a triangle can be used to solve this problem.
Angle PQR will be the difference in the bearings from Q to P and Q to R:
∠PQR = 124° -46° = 78°
Triangle PQR is isosceles, so the base angle at P will be ...
∠QPR = (180° -78°)/2 = 51°
__
The bearing from P to R will be 51° less than the bearing from P to Q. The bearing from P to Q is 180° more than the bearing from Q to P.
PR bearing = PQ bearing - ∠QPR
= PQ bearing - 51°
= (46° +180°) -51° = 175°
The bearing of R from P is 175°.
Help me pleasee !!!!
Answer:
here (edit I made a mistake)
Step-by-step explanation:
9) [tex]y=\frac{3}{5} x +5[/tex]
10) y = x - 3
11) [tex]y=-\frac{3}{5} x - 3[/tex]
12) [tex]y=\frac{5}{4} x + 2[/tex]
these are the slop int forms, my bad...
sorry
Answer:
9) -3/5x + y = 5
10) -x + y = -3
11) 3/5x + y = -3
12) -5/4x + y = 2
Step-by-step explanation:
You want to compare the numbers of hours spent on recreation each week by teachers and non-teachers in your state. You take 100 random samples of 15 teachers and 100 random samples of 15 non-teachers throughout the state and record the median value of each sample. The double box-and-whisker plot shows the distributions of sample medians. Are the samples likely to be representative of all teachers and non-teachers in your state?
Yes, the samples are likely to be representative of all teachers and non-teachers in the state.
Statistical measure of central tendencyThe median, in similarity with the mean is a statistical measure of central tendency.
Since, the double box-and-whisker plot shows the distribution of sample medians, it follows that the samples are likely to be representative of all teachers and non-teachers.
Read more on central tendency measure;
https://brainly.com/question/17726154
What is the raitio for chaperones to students if there is 180 students and 35 chaperones
What is the value of f(2)
A) -1
B) -0.75
C) 3
D) 12
When we are finding f(x) given a value of x, we must identify the value of y that results from the value of x.
Solving the QuestionWe are asked to find f(2).
On the graph, first find the location of x=2.
Then, identify where the function is at x=2.
Finally, identify the corresponding y-value: 12.
AnswerThe value of f(2) is 12.
HELP ME PLEASE thank you so much to who helps me :)
Answer:
π(12.1)²
Step-by-step explanation:
12.1 is the radius
Formula for base = πr²
= π(12.1)²
Find the surface area of the cylinder to the nearest whole number.
15 in
19 in.
Not drawn to scale
Select one:
a. 1791 in. 2
b. 11281 in. 2
c. 3204 in. 2
d. 5815 in. 2
Answer:
the answer you are looking for is C
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work.
Answer:
he has 1/2 of a chance to get tan pants and 1/4 of a chance to get a white shirt.
Step-by-step explanation:
hope that helps, mr cleann
Answer: 1/8
Step-by-step explanation:
(W) white (B) black (R) red (BL) blue (BP) blue pants (TP) tan pants
|-------------(B)
|-------------(W)
(TP)------------- |-------------(R)
| |-------------(BL)
| |--------------(B)
| |--------------(W)
(BP)-------------|--------------(R)
|--------------(BL)
From the tree diagram, a white shirt with tan pants is one out of eight possible outcomes, so the probability of getting tan pants and a white shirt is 1/8.
What is the theoretical probability of picking a
yellow counter in simplest form?
4/6
1/2
2/6
1/3
HELP FASTT PLEASE
An account earns annual simple interest. Find the balance of the account. $2000 at 9% for 6 months
Answer:
2000 × 9% × 6/12 = 90
2000+90 =2090
This tank can hold a volume of 49 062.5 cm3 of water when it is full. The top face of the tank is missing so the tank is open.
a) What volume of water (in cm3) is needed to fill this tank to a height of 15 cm from the top?
Answer:
Multiply length by width to get area.
Step-by-step explanation:
The circle C has equation x2 + y2 +4x - 2y - 11 = 0.
Find
i) The coordinates of the centre of C. [2]
ii) The radius of C. [2]
ii) The coordinates where the circle cuts the y axis, giving your answers in exact surds.
Answer:
where is circle pls send picture of circle
Step-by-step explanation:
please mark me as brainlist pleasePaul surveyed students in a high school about their favorite sport of the 1, 200 students in the school, 67 tenth-grade students were surveyed. More than half of the 67 students said their favorite sport is basketball. Based on the survey, Paul concluded that the favorite sport of most high school students is basketball.
Why is Paul's conclusion incorrect?
1 Paul surveyed too many students.
2 Paul's survey sample only included tenth graders.
3 Paul did not survey any middle school students.
4 Paul did not include enough sports in the survey.
Answer:
2 Paul's Survey sample only included tenth graders
Step-by-step explanation:
The reson why this is your answer is simple
Because this is true, he ONLY surveyed tenth-graders. He should have found for all of the students, including the other 1,100 students that didn't get surveyed.
Thanks!
Put these numbers in order of size, smallest to largest: 6, -2, 4, -3, 1 3
Answer:
-3,-2,4,6,13
Step-by-step explanation:
put them in order of increment
HELP PLEASE YOU'LL GET BRAINLIEST!!!!!
Step-by-step explanation:
oh, come on !
we have a point on the curve : (3, -2)
we simply put the values in and calculate the missing factor of x² :
-2 = f × 3² = f × 9
f = -2/9
y = -2/9 x² = -0.222222222... x²
HELP ASAP PLEASE! 100 POINTS!
We will use graphical method to solve it.
The inequalities are
y<2/3xy≥-x+2Graph both
We can see that the solution region is rightwards
The solution is (1.2,0.8)
Option D as the intersection point is ahead 1 unlike option A
Answer:
Given system of inequalities:
[tex]\large\begin{cases}y < \frac{2}{3}x\\y\geq-x+2\end{cases}[/tex]
When graphing inequalities:
< or > = dashed line≤ or ≥ = solid line< or ≤ = shade below the line> or ≥ = shade above the line[tex]y < \dfrac{2}{3}x[/tex]
The slope of the first inequality is 2/3, therefore at x = 1, y = 2/3.
So the correct line for the first inequality is the dotted line with the shallower slope.
As the relation is < for this inequality, the shading should be below the dotted line.
[tex]y\geq-x+2[/tex]
From inspection of the given graphs, the line of the second inequality (solid line) is the same in all graphs.
As the relation is ≥ for this inequality, the shading should be above the solid line.
Therefore, the only graph that satisfies these conclusions is graph D (attached).
Write a conditional statement from the following statement: a) A horse has 4 legs. b) If it has 4 legs, then it is a horse. c) Every horse has 4 legs. d) If it is a horse, then it has 4 legs. e) It has 4 legs and it is a horse.
Answer:
D
Step-by-step explanation:
it is conditional statement because it starts with if and after the comma it starts with then
Answer: D
Step-by-step explanation: the correct answer.
Longhorn High School opens its door in 2005 with 800 students. The school grows 5% every year. How long will it take for the school to reach 3000 students?
Answer:
157.741
Step-by-step explanation:
3000=800 ( 1 + 0.05)^t
-800
2200=1.05^t
log(1.05)2200=t
log2200/log1.05
t=157.7...
PLEASE HELP!!! ASAPPPPP
answer for points !!!!!!!
Answer:
2 and 4
Step-by-step explanation:
PQ=RQ
470
R
17
b = [?]
Answer:
17
Step-by-step explanation:
you can use SAS to prove two triangles are congruent
Then by CPCTC PS = RS so b is also 17
3. Three Bean Salad Puzzle #2
A bean salad has 6 beans in all. It is made up of:
1/6 lima beans
1/3 red beans
1/2 black-eyed peas
How many of each type of bean is in the salad?
Answer: 1 lima bean, 2 red beans, 3 black-eyed peas
Step-by-step explanation:
If 1/6 of the beans are lima beans, then there are 6 * 1/6 lima beans in the salad. 6 * 1/6 = 6/6 = 1.
If 1/3 of the beans are red beans, then there are 6 * 1/3 red beans in the salad. 6 * 1/3 = 6/3 = 2.
If 1/2 of the beans are black-eyed peas, then there are 6 * 1/2 black-eyed peas in the salad. 6 * 1/2 = 6/2 = 3.
Answer:
Lima Beans: 6 x [tex]\frac{1}{6}[/tex] = 1
Red Beans: [tex]\frac{1}{3}[/tex] x 6 = 2
Black Eyed-Peas: [tex]\frac{1}{2}[/tex] x 6 = 3
Hope this helps!
How do you find x in the question \frac{x}{10}=0.1 how do you find out what x is???
A scientist is growing bacteria, starting with a culture of 10 bacteria. The colony of bacteria doubles every 3 hours. Which equation represents the relationship between the number of bacteria (b) and the number of hours (t) that have elapsed?
A) B= 10(2)^t
B) B= 10(2)^t/3
C) B= 10(2)^3t
D) B= 10(e)^2t
E) B= log₂(t)
Answer:
B) B=10(2)^(t/3)
Step-by-step explanation:
The Formula used to find Exponential Growth is
[tex]y=a*b^{\frac{t}{t_{1} } }[/tex]
where y is the Final Amount
a is the Initial Amount
b is the Growth Factor
t is Time
t1 is Time to Complete one Growth
so for our Problem
a=10 and b=2 and t1=3 and y=B
so B=10(2)^(t/3)
So
The expression is
[tex]\\ \rm\rightarrowtail B=10(2)^{\frac{t}{3}}[/tex]
Option B is correct
Prove each of these identities.
a (1 + secx) (cosec x - cotx) = tan x
b (1 + sec x)(1 - cos x) = sin x tan x
➲ ( 1 + sec x )( cosec x - cot x ) = tan x
Solving for L.H.S[tex] \implies\quad \sf{(1+sec\:x)(cosec\:x-cot\:x) }[/tex]
[tex] \implies\quad \sf{ \left(1+\dfrac{1}{cos\:x}\right)\left(\dfrac{1}{sin\:x}-\dfrac{cos\:x}{sin\:x}\right)}[/tex]
[tex] \implies\quad \sf{ \left(\dfrac{1+cos\:x}{cos\:x}\right)\left(\dfrac{1-cos\:x}{sin\:x}\right)}[/tex]
[tex] \implies\quad \sf{ \left(\dfrac{1-cos^2 x}{cos\:x.sin\:x}\right)}[/tex]
[tex] \implies\quad \sf{ \left( \dfrac{sin^2 x}{cos\:x.sin\:x}\right)}[/tex]
[tex] \implies\quad \sf{ \left( \dfrac{sin\:x.\cancel{sin\:x}}{cos\:x.\cancel{sin\:x}}\right)}[/tex]
[tex] \implies\quad \sf{\left( \dfrac{sin\:x}{cos\:x}\right) }[/tex]
[tex] \implies\quad\underline{\underline{\pmb{ \sf{tan\:x}}} }[/tex]
➲ ( 1+ sec x )( 1- cos x ) = sin x. tan x
Solving for L.H.S[tex] \implies\quad \sf{ ( 1+ sec\:x)(1-cos\:x)}[/tex]
[tex] \implies\quad \sf{\left(1+\dfrac{1}{cos\:x} \right) \left( 1-cos\:x\right)}[/tex]
[tex] \implies\quad \sf{ \left(\dfrac{cos\:x+1}{cos\:x} \right)(1-cos \:x)}[/tex]
[tex] \implies\quad \sf{\dfrac{1-cos^2 x}{cos\:x} }[/tex]
[tex] \implies\quad \sf{\dfrac{sin^2x}{cos\:x} }[/tex]
[tex] \implies\quad \sf{sin\:x.\left( \dfrac{sin\:}{cos\:x}\right) }[/tex]
[tex] \implies\quad\underline{\underline{\pmb{ \sf{sin\:x.tan\:x}}} }[/tex]