Answer: 110 yards.
Step-by-step explanation:
According to the cosine formula,
In a triangle, if a and b are two consecutive sides and x is the angle between them, then the measure of the third side (c) is given by:-
[tex]c=\sqrt{a^2+b^2-2ab\cos x}[/tex]
As per given, a= 70 yards , b= 95 yards , x= 82 degrees
The final side = [tex]\sqrt{(70)^2+(95)^2-2(70)(95)\cos 82^{\circ}}[/tex]
[tex]=\sqrt{4900+9025-13300(0.139173)}\\\\=\sqrt{13925-1851} \\\\=\sqrt{12074}\\\\\approx110\text{ yards}[/tex]
I.e. the length of the final side of the plot is 110 yards.
A variable needs to be eliminated to solve the system of equations
below. Choose the correct first step.
–9x – 10y = -42
-9x + 7y = 60
Answer:
The first step would be to subtract the two equations.
A rescue boat just picked up some sailors in a lifeboat. Now the rescue boat is heading north
at 15 miles per hour. The lifeboat, which they abandoned, is drifting south at a speed of 5
miles per hour. How long will it be before the rescued sailors are 15 miles from their lifeboat?
Answer: if they at 5 miles right now it should take 10 more miles to reach their target/ location
3&4. using the diagrams, is there enough information given to prove that the triangles are congruent? if so, state the theorem you would use
5&6. name the third congruence statement that is needed to prove that ABC is congruent to XYZ using the given theorem
Answer:
3. There is enough information to prove that ΔABC and ΔDEF are congruent using the Angle-Side-Angle (ASA) congruency theorem
4. More information is required to prove that ΔGFH and ΔJKL are congruent
5. ∠B ≅ ∠Y
6. ∠A ≅ ∠X
Step-by-step explanation:
3. In triangle ΔABC, and triangle ΔDEF, we have;
Corresponding angles ∠A and ∠D are congruent
Corresponding angles ∠C and ∠F are congruent
Corresponding side in between the given angles [tex]\overline{AC}[/tex] and [tex]\overline{DF}[/tex] are congruent
Therefore ΔABC is congruent to ΔDEF by the Angle-Side-Angle (ASA) rule of congruency
4. The corresponding angles ∠F and ∠J in triangle ΔGFH and triangle ΔJKL are congruent as well as the corresponding adjacent sides to the given angles and the corresponding opposite sides to the given angles are congruent, however, there is not enough information to prove that the two triangles are congruent
The included angles, ∠H and ∠L between the sides congruent corresponding sides should be congruent or the other adjacent sides [tex]\overline{FG}[/tex] and [tex]\overline{JK}[/tex] to the congruent angles ∠F and ∠J should be congruent for the triangles ΔGFH and ΔJKL to be congruent
5. Given [tex]\overline{AC}[/tex] ≅ [tex]\overline{XZ}[/tex], ∠C ≅ ∠Z, using the Angle-Angle-Side, AAS, rule of congruency, we have;
The angles adjacent to ∠C and ∠Z, and opposite to [tex]\overline{AC}[/tex] and [tex]\overline{XZ}[/tex], which are B and ∠Y are congruent
Therefore, we have;
∠B ≅ ∠Y using AAS rule of congruency
6. Using Angle-Side-Angle, ASA, rule, given;
[tex]\overline{AC}[/tex] ≅ [tex]\overline{XZ}[/tex], ∠C ≅ ∠Z, then the angles on the other side of [tex]\overline{AC}[/tex] and [tex]\overline{XZ}[/tex] which are ∠A and ∠X should be congruent, we have;
∠A ≅ ∠X
PLS HELP I dont know what t odo
Answer:
Y = 3/2x + 8
Step-by-step explanation:
Slope (AKA M) can be found searching for each point on the graph. Since the graph starts at 8 it is the Y intercept (AKA B)
The temperature on Monday in Alaska is -24ºF. On Tuesday, the temperature rises 24ºF.
What is the temperature on Tuesday, in degrees Fahrenheit?
Answer:
0 degrees
Step-by-step explanation:
-24 + 24 = 0
Answer:
Wouldn't the answer be 0 degrees Farenheit?
Step-by-step explanation:
-24 + (+24)=0
The distance from two golf balls to the hole is 8 feet and 13 feet, respectively. If both balls are hit directly into the hole, the angle formed by their pathways is 64°. Find the distance between the golf balls.
Answer:
11.9 feet
Step-by-step explanation:
x^2=8^2+13^2-2×8×13×cos64
√x^2 =√141.8188015
x=11.90876994
The distance between the two golf balls is 11.91 feet
What is cosine formula?
The law of cosines formula can be used to find the missing side of a triangle when its two sides and the included angle is given.
There are three laws of cosines and we choose one of them to solve our problems depending on the available data.
[tex]a^{2} = b^{2} + c^{2}- 2bc\; cos A[/tex] [tex]b^{2} = c^{2} + a^{2}- 2ac\; cos A[/tex][tex]c^{2} = b^{2} + a^{2}- 2ab\; cos c[/tex]
The distance between the golf balls is 8 feet and 13 feet.
angle = 64
For, this we will use the cosine theorem
[tex]cos 64^{0} =\frac{8^{2}+13^{2}-x^{2}}{2*8*13}\\ 0.4384= \frac{64+169-x^{2}}{208}[/tex]
[tex]x^{2} = 141.82[/tex]
and, x =11.91
So, the distance between the two balls is: 11.91 feet
Learn more about cosine here:
https://brainly.com/question/3482956
#SPJ2
percents and poprtions
y = 3 - 2x i need to find out if the equation is linear and why. i’m very confused
Answer:
It is Linear
Step-by-step explanation:
We know the regular Linear equation is y = mx + b. In this case, the mx and the b switched places, but the equation still works the same way. y = -2x + 3
Answer:
yes
Step-by-step explanation:
Linear equations look like this
y=mx+b
where m is the slope
and b is the y intercept
if we switch -2x and the 3 we have the following
y= -2x+3
which looks like our y=mx+b
What is the quotient of 3.12 x 108 and 2.6 x 105 expressed in scientific notation?
Answer:
1.2 * 10^3
Step-by-step explanation:
3.12 * 10^8
=========
2.6 * 10^5
Start by doing 3.12 / 1.6 = 1.2 and that is the correct number of sig digs.
Now get the power on the 10. When dividing, the powers subtract.
10^(8 - 5)
10^ 3
The answer is 1.2 * 10^3
1
This table represents a quadratic function.
-1
11
5
0
1
1.5
2
0
:
3
1.5
4
5
(EVRE
Use the table and determine the solutions to the quadratic function it represents.
Answer:
The question is incorrect. please write your coordinates in the form (x, y).
Which number is prime?
A. 21
B. 23
C. 25
D. 27
Answer:
23
Step-by-step explanation:
A.The original price of a sofa is $500. Answer the following questions. If the sofa price decreased by 20%, what is the new price?
B. The company can’t sell the sofa after 3 weeks so they reduce the price to $320. What is the percent decrease?
Answer:
A. 25
B. 0.64
Step-by-step explanation:
Sorry there is no Step-by-Step explanation to this equation as I have generated an answer from my system.
--
Use: Division.
Use: PEMDAS
--
#LearningFromHome
Answer:
-36% decrease
Step-by-step explanation:
320-500=-180
-180/500=.36*100=-36%
What’s the volume of
1.)
V=txrxrxh
= 3.14 X 3 X 3 X 4
5 cm
12 cm
9514 1404 393
Answer:
A) (3 cm x 4 cm ÷ 2) x 3 cm
Step-by-step explanation:
The volume is the product of the area of the triangular bases and the distance between them.
Each right triangular base has a width of 3 cm and a height of 4 cm. Its area will be given by ...
A = (1/2)bh
A = (1/2)(3 cm)(4 cm) = (3 cm × 4 cm) ÷ 2
__
The distance between the triangular bases is marked at the left side of the diagram as 3 cm. So, the volume is ...
V = Bh
V = (3 cm × 4 cm ÷ 2) × 3 cm . . . . . matches choice A
There aren't any more steps. The answer starts by saying how the volume is computed. Then it shows how to find the numbers that go into that computation. Finally, it puts all that together in the form that is required to match an answer choice.
It might also be useful for you to draw the net to scale on a piece of paper, cut it out, and fold it along the lines to actually make a triangular prism. A little hands-on is always helpful in math. It only takes 5 or 10 minutes and can give you great insight into both prisms and nets.
326 is 28% of what number
Answer:
1164.29
Step-by-step explanation:
divide 326 by 28 then times by 100 to get 100% of the number
Which of the following statements is FALSE?
A) If a function has a common 1st difference, it is linear.
B) If a function has a common 2nd difference, it is quadratic.
C) The highest exponent of a quadratic function is 3.
D) f(x) = (x + 4)(x - 5) is written in Intercept Form.
Answer:
no.
Step-by-step explanation:
3. Üstteki doğrusal grafikler A ve B ağaçlarının zamana bağlı boylarındaki değişimi göstermektedir. Buna göre kaç yıl sonra A nın boyunun B nin boyuna oranı 5/6 olur? 15 18 12 27 24
Answer:
EEEEEEEEEEEEEEEEEEvyeydbx rehiw kwsni u/tsstties i speake no
Step-by-step explanation:
I need help on number 6 and 7
Answer:
1. c=13
2. a=12
Step-by-step explanation:
We have to use the Pythagorean theorm
a^2+b^2=c^2
(5*5)+(12*12)=c^2
25+144=c^2
169=c^2
Now we have to square root 169 to find c
[tex]\sqrt{169}[/tex]
c=13
For this one we have to do c^2-b^2=A^2
(15*15)-(9*9)
225-81=a^2
144=a^2
[tex]\sqrt{144}[/tex]
a=12
given f(x) =3x+7 find f(5)
Answer:
22
Step-by-step explanation:
f (5)=3 (5)+7
f (5)=15+7
f (5)=22
I needdddddd hellpppp it’s due TODAYyYYyY
Amir stands on a balcony and throws a ball to his dog, who is at ground level.The ball's height (in meters above the ground), x seconds after Amir threw it, is modeled by How many seconds after being thrown will the ball hit the ground?
Answer:
6 seconds
Step-by-step explanation:
The computation of the number of second would be
In the case when the ball would hit the ground, the ball height would be zero
So the following equation would be
[tex]0 = -(x -2)^2 + 16\\\\(x -2)^2 = 16\\\\x - 2 = \sqrt{16}\\\\x -2 = 4\\\\x = 6[/tex]
So the number of seconds is 6
Find the measure of the following angles.
Answer:
[tex] m\angle A = 79\degree[/tex]
[tex] m\angle B = 112\degree[/tex]
Step-by-step explanation:
ABCD is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
[tex] m\angle A + m\angle C = 180\degree[/tex]
[tex] m\angle A + 101\degree = 180\degree[/tex]
[tex] m\angle A = 180\degree-101\degree[/tex]
[tex] \red{\bold {m\angle A = 79\degree}} [/tex]
[tex] m\angle B + m\angle D = 180\degree[/tex]
[tex] m\angle B + 68\degree = 180\degree[/tex]
[tex] m\angle B = 180\degree-68\degree[/tex]
[tex] \purple {\bold {m\angle B = 112\degree}} [/tex]
The value of a boat is $36,450. It loses 10% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.
Answer:
0.8%
Step-by-step explanation:
Answer:
3,645 per year
Step-by-step explanation:
10% of 36,450 = 3645
It loses 3,645 every year
HELP WITH THIS PROBLEM RIGHT NOW. If you find x first and then y, will the answer be the same or different
Answer: it will be the same!
sum of 3 by 4 and 7 by 4 is ___
Step-by-step explanation:
Sum of 3 by 4 and 7 by 4 is
[tex] = \frac{3}{4} + \frac{7}{4 } \\ = \frac{3 + 7}{4} \\ = \frac{10}{4} \\ = \frac{5}{2} [/tex]
Hope it will help :)
Stan has a rectangular piece of carpet with an area of 23.4 square meters. The piece of carpet is 13 meters long. What is the width of the piece of carpet? Solve this problem any way you choose.
Answer:
The breadth of rectangular carpet is 1.8 m
Step-by-step explanation:
23.4/13=1.8 sorry if this is not enough explanation
The graph shows a proportional relationship. Which equation matches the graph?
A. y=2x
B. y=1/2x
C. y=4x
D. y=x
Answer:
A. y=2x
Step-by-step explanation:
m=rise/run
rise=2
run=1
2/1=2
and that was the only equation with a slope of 2
ssignment/4903529/17074
The diagram shows two congruent regular polygons joined together.
Not drawn
accurately
Work out the number of sides
of each polygon.
Find x y and ABHG for brainliest
Answer:
because AB//EF//CD, using thales theorem in ABEF, we have:
[tex]\frac{12}{21}=\frac{15}{y}\\\\<=>y=\frac{15.21}{12}=26.25[/tex]
we also have: CD//EF//GH => using thales theorem in CDGH:
[tex]\frac{21}{x}=\frac{y}{10}\\\\<=>x=\frac{210}{y}=\frac{210}{26.25}=8[/tex]
with y = 26.25 => AB = 26.25 - 14 = 12.25
x = 8 => GH = 5.8 - 3 = 40 - 3 = 37
+) the perimeter of ABHG = AB + AC + CE + GE + GH + HF + DF + BD
= 12.25 + 12 + 21 + 8 + 37 + 10 + 26.25 + 15
= 141.5
Step-by-step explanation:
Explain the process for determining sales tax and total purchase price.
Answer:
in most states sales tax is .07 cents for every dollar you spend. for food it is different
Step-by-step explanation:
Which one would it be?
-2,1
-2,-2
-2,-1
2,2
Answer:
(-2,-2)
Step-by-step explanation: