Answer:
x = 14
y = 14√2
Step-by-step explanation:
This is an isosceles triangle so x = 14
This triangle is a special right triangle with angle measures of 45 ° 45° and 90°
and side lengths are represented by a, a, and a√2 since we know the value of x is = 14 then y = 14√2
Please do number 17 for me.
In a right angled triangke abc the perpendicular and the base measure 3 cm find hypotenus and three trignometrice ratios
Given:
In a right angled triangle ABC the perpendicular and the base measure 3 cm.
To find:
The hypotenuse and three trigonometric ratios.
Solution:
Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Use Pythagoras theorem in triangle ABC.
[tex]Hypotenuse^2=(3)^2+(3)^2[/tex]
[tex]Hypotenuse^2=9+9[/tex]
[tex]Hypotenuse=\sqrt{18}[/tex]
[tex]Hypotenuse=3\sqrt{2}[/tex]
The three trigonometric ratios are
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin \theta=\dfrac{3}{3\sqrt{2}}[/tex]
[tex]\sin \theta=\dfrac{1}{\sqrt{2}}[/tex]
Similarly,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos \theta=\dfrac{3}{3\sqrt{2}}[/tex]
[tex]\cos \theta=\dfrac{1}{\sqrt{2}}[/tex]
And,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan \theta=\dfrac{3}{3}[/tex]
[tex]\tan \theta=1[/tex]
Therefore, the hypotenuse is [tex]3\sqrt{2}[/tex] cm and three trigonometric ratios are [tex]\sin \theta=\dfrac{1}{\sqrt{2}}, \cos \theta=\dfrac{1}{\sqrt{2}}, \tan \theta=1[/tex].
HELP PLEASE. :) I NEED HELP
Answer:
I think it’s 80
Step-by-step explanation:
Because it’s the same side just a different angle if it makes sense
Joyville has a population of 20,750 people.
Its population is increasing at a rate of 2.7%
each year?
9) A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze?
Answer:
If the rope is 20 ft long, then the maximum area the cow can graze is:
[tex]\pi \\[/tex]r^2 square feet.
[tex]\pi[/tex] is approximately 3.14, so that means we have: 3.14(20^2) = 1256 ft squared.
Thus, the maximum area that the cow can graze is 1256 ft squared.
Let me know if this helps!
The cow's maximum grazing area is 1256 ft squared. The grazing area is found as the area of the circle.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
If the rope is 20 feet long, the cow can graze the following area:
A=πr²
A=3.14(20)²
A=1256 ft squared.
As a result, the cow's maximum grazing area is 1256 ft squared.
To learn more about the area, refer to the link;
https://brainly.com/question/11952845
#SPJ2
Find the nth term of the sequence
0, 5, 14, 27, 44......
Answer:
aₙ = 2*n*n - n -1
Step-by-step explanation:
a₁ = 0
a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5
a₃ = 2*3*3 -3-1 = 18-4 =14
a₄ = 2*4*4 - 4-1 = 32-5 =27
......
aₙ = 2*n*n - n -1
Find the length of ST
Answer:
85 lol
Step-by-step explanation:
27+58=85
What is it?
??????????????????????
Answer:
c) 95 feet
Step-by-step explanation:
perimeter = πd
3.14*18=56.52 in
20 revolutions =56.52*20=1130 in =95 feet
Which of the following expressions has a value that is greater than -1? Select all that apply.
A) -6 + 6
B) -8 - (-11)
C) 9 + (-7)
D) -3 – 5
E) -8 + (-2)
Answer:
A. -6+6=0 0>-1
C. 9+(-7)=2 2>-1
What is the y-intercept of function g if g(x) = -4f(x) + 12?
OA. (0,-4)
OB. (0,12)
OC. (0,8)
OD. (0,1)
Answer:
the correct answer is C (0,8)
Step-by-step explanation:
got 100%
Answer: C (0,8)
Step-by-step explanation: correct on test
4/11+2/5 give your answer in its simplisest form
Answer:
here..
Step-by-step explanation:
42/55
y = mx + b is a slope intercept form of a line. Rewrite the formula in terms of x.
Answer:
(y-b)/m = x
Step-by-step explanation:
We need to isolate X!
y = mx + b
minus b
y-b=mx
divide by m
(y-b)/m = x
Hope this helps!
Answer:
x = ʸ ⁻ ᵇ⁄ₘExplanation:
y = mx + b
Switch Sidesmx + b = y
Subtract 'b' From Both Sidesmx + b - b = y - b
Simplifymx = y - b
Divide Both Sides By 'm'ᵐˣ⁄ₘ = ʸ⁄ₘ - ᵇ⁄ₘ
Simplify
x = ʸ ⁻ ᵇ⁄ₘ- PNW
Answer fasttt plsssssss
Answer:
25ax25b= 625
How do you solve for x ?
please dont respond just for points
Answer:
X is 110cm
Step-by-step explanation:
35degrees plus 90degrees equals 125degrees
So 125-15=110cm
Systems of equation graph helppppp
Answer:
(1,4)
Step-by-step explanation:
Your solution to the system of equations is where the two lines intersect.
On this problem, it is the point (1, 4)
An online video streaming service offers two plans for unlimited streaming.
Plan A has a one-time $25 membership fee and is $8 per month.
Plan B has a $12 membership fee and is $5 per month.
Write the system of equations!
Answer:
b
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE BRAINLIEST!
Find the length of BD for square ABCD.
B
23
A
D
The length of BD is a
(Type an integer or decimal rounded to one decimal place as needed.)
Answer:
BD = 32.5
Step-by-step explanation:
Since this is a square, the length of all the sides are equal. So line AB = BC = CD = DA = 23
Additionally, all the interior angles are the same (90°)
To find the length of BD, you can cut the square in half diagonally to form two right angled triangles, ABD and BCD.
For either one, BD is the hypotenuse of the right angled triangle so we can use Pythagoras' theorem to solve for the that (since we also know the legnth of the sides)
a = 23
b = 23
c = BD, which we have to find
[tex]a^{2} +b^{2} =c^{2} \\23^{2} +23^{2} =c^{2} \\\sqrt{23^{2} +23^{2} } = c\\\sqrt{529+529} =c\\\sqrt{1058} = c\\32.5 = c[/tex]
therefore the length of BD is 32.5
hope this helps!
A teacher polled her students and determined 37 liked math and 44 liked history.
She has a total of 180 students. If there are 3000 students in the whole school. How
many students could you infer like something other than math and history.
Answer:
I’m pretty sure it’s 2919 students
Step-by-step explanation:
Ok 37-math
44-history
180 total students
99 students in the total didnt like them
3000 students in school.
-180
2919 students
Please answer the 2 question.
Will be marked
Answer:
1. 12.6 2. 21.4
Step-by-step explanation:
1. c=2piR, so if the radius is 2, then 2 times 2 then times 3.14= 12.6(rounding to the nearest tenth)
2.i already explained the formula, so it should be 3.4*2 then times 3.14= 21.4
find the missing dimension of each triangle prism
A number cube is rolled 3 times. What is the probability that a number greater than 4 is rolled
all three times?
the probability of getting one is 1/6, and 2 is the same, 1/6. the probability of getting a number higher than 4 is 1/3. 1/6 * 1/6 * 1/3 = 1/108
i don’t understand this
Answer:
Step-by-step explanation:
You simply need to assign 1 to n if you wanna know what is a1. Then, a1 turns to 6 cuz a1 means 3×1 + 3. Step by step, assign 2,3,4,5 to n and you'll get the right answers!
7,650÷______=7.65
answer______
Answer:
1000
3 decimals
Emerson struck out 122 times in 350 at bats. What is his percentage of strike outs?
Answer:
Around 35%
Step-by-step explanation:
122/350 = 0.35
Answer:
32%
Step-by-step explanation:
We are told out of 350 times, he stuck out 122 times. As a fraction, we can say he struck out 122/350 times.
As a fraction, we can easily convert this to a decimal by dividing the numerator (top number) by the denominator (bottom number).
So, 122/350 = 0.32.
Now, we can easily convert this to a percentage by multiplying by 100.
0.32 x 100 = 32%
Isaac was standing by an apple tree. He noticed that the shadow of the tree measured 270 inches in
length and his shadow measured 111 inches in length. If Isaac is 74 inches tall, how tall is the apple
tree?
270 in
74 in
111 in
180
Mrs Jones wants to paint a wall but not the door on the wall How many square feet of wall does Mrs. Jones need to paint? 15ft 10ft 3ft 7ft
Answer:
B)cevap B olmalı.....,,,
Pleaseee helpp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
(9,-7)
Step-by-step explanation:
Answer:
9, -7 if i'm correct
Step-by-step explanation:
Determine the number of solutions of the system.
y = 2x - 1
y = -2x + 3
Mary found a pair of boots that cost $60. Sales tax is 7%. What is the total price Mary will pay for the boots?
Answer: $64.20
Step-by-step explanation:
Cost of shoe = $60
Sales tax rate = 7%
Sale tax = 7% × $60 = 7/100 × 60 = $4.20
The total price paid by Mary
= Cost of shoe + Sales tax
= $60 + $4.20
= $64.20
What is the equation of the line that passes through the point (-4,-7) and has a
slope of
3/2?
Answer:
y=[tex]\frac{3}{2}[/tex]x-1
Step-by-step explanation:
y=mx+b
-7=[tex]\frac{3}{2}[/tex](-4)+b
-7=(-6)+b
b=(-1)
y=[tex]\frac{3}{2}[/tex]x-1