value of X is 26 Y, is 23, Z is 8
Calculate the size of angle x.
Give your answer to 1 decimal place.
8 cm
11 cm
х
15 cm
Given:
Consider the below figure attaches with this question.
To find:
The size of angle x.
Solution:
Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Three sides of the triangle are 11 cm, 8 cm, 15 cm. Since 11 cm is the opposite side of the angle x, therefore [tex]a=11[/tex].
Let [tex]A=x,a=11,b=8,c=15[/tex]. Substitute these values in the above formula.
[tex]\cos x=\dfrac{8^2+15^2-11^2}{2(8)(15)}[/tex]
[tex]\cos x=\dfrac{64+225-121}{240}[/tex]
[tex]\cos x=\dfrac{168}{240}[/tex]
[tex]\cos x=0.7[/tex]
Taking cos inverse on both sides, we get
[tex]x=\cos^{-1} 0.7[/tex]
[tex]x=45.572996^\circ[/tex]
[tex]x\approx 45.6^\circ[/tex]
Therefore, the measure of angle x is 45.6°.
how many sticks would be in pattern n
Answer:
Depending on the equation it will change
n=1 (not in an equation)
Step-by-step explanation:
Pls mark BRAINLIEST
6) A packet of 1350 chocolates were distributed among 3 sections A, B, C of class VI in the ratio 6: 5:4. Find each section's share
A)510, 460, 350
B)540, 450, 360
C)520, 440, 335
D)500, 400, 450
Answer:
its a or d
Step-by-step explanation:
a or d but ptibably a
Algebra find the value of x in each figure.
Answer:
b. 156
Step-by-step explanation:
180 - 29 = 151
x-5=151
x=151+5
Answer:
x = 156
Step-by-step explanation:
A straight line has an angle of 180 degrees. Subtract the known angle from 180:
180 - 29 = 151
The missing angle is 151 degrees. The value of x is 5 more, given 151 = ( x - 5 ).
151 + 5 = 156.
x = 156.
Hope that helped :)
Solve for y.
What is the root? If there is none, choose none.
y = 4
y = 5
none
Answer:
y = 5
Step-by-step explanation:
if y = 5 then
(√10-1) -1 = 2
3 - 1 = 2
true
Answer:
y = 5
Step-by-step explanation:
A circle has a diameter of 10 centimeters.
What is the best approximation of its area?
Use 3.14 to approximate for π.
Answer:
78.5
Step-by-step explanation:
hope i helped
Find the value of x and y in the diagram below.
30°
X
y
7
= 7V5, y = 14
B. X= 14, y = 2V3
A. =
C. X=
73
-3.y=14.3
D. x= 14./2,8-73
3
Answer:
Its D
Step-by-step explanation:
easy 5th grade math please help!! look at photo. Giving brainliest!!
It should be surprising if someone told you the average height of all respondents was actually 1.69 meters. TRUE/FALSE?
True
False
Tina bought 3.2 pounds of grapes. The grapes cost $1.45 per pound. How much did she pay for the grapes?
Answer:
4.64
Step-by-step explanation:
If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!
Answer:
$4.64
Step-by-step explanation:
3 x 1.45 = 4.35
1.45 x .2 = .29
4.35 +.29 = 4.64
which expression equals the sum 1+2+3+4+5+6..
Answer:
7 * 3
7+7+7
3+3+3+3+3+3+3
2+2+2+2+2+2+2+2+2+2+1
(2*10)+1
(10*1)+11....
...and so on
Step-by-step explanation:
I don't know what type of expression you are looking for
26.) In a midnight sale in a mall, Charice bought a
shirt with 40% discount. How much did she pay if the
original price is Php 200?
A. PhP 80.00
C. PhP 140.00
B. PhP 120.00
D. PhP 160.00
I will give Brainliest
Answer:
B. 120.00
Step-by-step explanation:
200-40%=120
Answer:
the answer is very easy i calculated this so if my calculations are correct it will be PHP 160.00
Help please it isn’t D I already tried that and I can’t find anything else on this!
Answer:
its B. because if c plus w equal z then the answer equal B.
+1253=-1785 i need the answer quickly
Answer:
+1253+-1785 isss
Step-by-step explanation:
-532
Tomás is gathering data about the sleeping habits of high school students. So far, he has completed 3 different surveys, each with 70 respondents.
What should Tomás expect as he continues his data-gathering process?
As the number of surveys increases, the mean of the sample means will approach ______, and the means will be ___________.
70 Points
Answer:
The population mean
Normally distributed
Please give me brainliest, I really need it.
a)As the number of surveys increases, the mean of the sample means will approach the population mean.
b)Means will be normally distributed.
What is a normal distribution?A normal distribution is a probability distribution that is symmetric about the mean, and data near the mean are more frequent than data far from the mean.
As the number of surveys increases, we will have more data.
So, the mean of the sample means will approach the population mean.
Means will be normally distributed because each survey has the same number of respondents.
Thus, a)as the number of surveys increases, the mean of the sample means will approach the population mean.
b)Means will be normally distributed.
To get more about normal distribution visit:
https://brainly.com/question/4079902
Factorise the following.
Answer:
1:(x-6)²
2:(9-8x)²
Step-by-step explanation:
1: (x-6)(x-6)=(x²-36)
2:(9-8x)(9-8x) = (81 - 64x²)
In a class book order, 2/3 of the books are fantasy and 1/4 of the books are biography. If the order contains 60 books, how many books are either fantasy or biography?
Answer:
Fantasy 40 biography 15
Step-by-step explanation:
2/3 =8/12 = 40/60
1/4 = 3/12 = 15/60
Write a phrase for each algebraic expression using a word
from the given word bank. Your phrase must include a
word from the word bank.
WORD BANK: more than, less than, quotient, product, cubed
a) m * m * m
b) 4/m
c) 4 + m
d) 4m
e) 4 - m
Answer:
yessir
Step-by-step explanation:
Can somebody solve this question for me it would be so helpful I will give brainliest first it needs to be rounded to the nearest 10th
Answer:
F. 824.8 ft³
Step-by-step explanation:
To find the volume of a cube, you want to multiply the length by width by height.
l = 8.2
w = 9.4
h = 10.7
l • w • h
8.2 • 9.4 • 10.7
= 824.756
Round to the nearest tenth.
824.8 ft³
Hope this helps!
EI Sr. López necesita una escalera para podar sus árboles de naranjas. Le dice al herrero que necesita alcanzar una altura de 3 m sin estirar los brazos. El herrero sabe que el Sr. López mide 1.70 m, y sabe que por seguridad, una persona no debe subir más arriba del penúltimo peldaño de la escalera. El herrero le vende una escalera como la que se muestra.
la escalera tiene que ser de 2.30mts
Plz help me!
Plz we’ll mark brainliest if correct!
Answer:
Seems like 7 of them failed
Step-by-step explanation:
The chart pretty much tells you
Answer:
7 students
Step-by-step explanation:
20 = 2(n – 3) solve.
WILL GIVE BRAINLIEST
(x-2)(y-3)=0
with diagram plz
Answer:
x=2,y=3
Step-by-step explanation:
x-2=0
x=2
y-3=0
y=3
Ron walks 22.5 in 5 hours finds his speed
Answer:
his speed would be 4.5 miles per hour
Step-by-step explanation:
if you do the distance divided by the hours you will get the answer.
22.5/5=4.5
3. If one side of the equation 23+43 = 66 is multiplied by 3, what needs to be done to the other side of the equation to keep the sides equal?
Answer: multiply the other side by 3 also
Step-by-step explanation:
What happens to one side must also happen to the other side. This is the only way to keep equations equal when changing constants and variables
can someone tell me how to do this I keep getting 3.14 over x
Answer:
60.46%
Step-by-step explanation:
Question: On this dartboard, the circle with 1-m radius is inscribed in an equilateral triangle. Find the probability that a dart that hits the board lands in the circular region. Justify your answer.
Let's start by finding the length of one of the sides of the equilateral triangle. We can do this by creating a 30-60-90 triangle from the radius of the inscribed circle.
I attached an image of what this should look like.
Solving for the length of half of the base of the equilateral triangle gives us 1√3. To get the length of the entire base of the triangle, we will double this value:
s = 2√3The area of an equilateral triangle is [tex]\displaystyle A=\frac{s^2 \sqrt{3} }{4}[/tex].
We can substitute the known value of s (side length) into the formula and solve for A.
[tex]\displaystyle A_t=\frac{(2\sqrt{3})^2\cdot \sqrt{3} }{4}[/tex] [tex]\displaystyle A_t=\frac{4(3) \cdot \sqrt{3} }{4}[/tex] [tex]\displaystyle A_t=3\sqrt{3}[/tex]The area of the equilateral triangle is 3√3.
Now, let's solve for the area of the inscribed circle. The formula for the area of a circle is [tex]\displaystyle A= \pi r^2[/tex].
We know the radius of the circle is 1, so let's substitute 1 for r:
[tex]A_c= \pi (1)^2[/tex] [tex]A_c=\pi[/tex]The area of the inscribed circle is π.
To find the probability of the dart hitting a specific area on the dartboard, we will divide the desired area by the total area of the dartboard.
[tex]\displaystyle P=\frac{\text{Desired area}}{\text{Total area}}[/tex] [tex]\displaystyle P=\frac{\pi}{3\sqrt{3} }[/tex] [tex]\displaystyle P=\frac{\pi \sqrt{3} }{9}[/tex] [tex]P \approx 0.60459978[/tex]The probability that a dart that hits the board lands in the circular region is about 60.46%.
What is the solution to this system of equations? x+y=2 y-7=2 x+y-7=3
Answer:
Use photo math, it will explain all the steps
Which of the following equations is the result after the first step in solving 3x + 6 = 12?
x + 6 = 4
x = 3
3x = 18
3x = 6
Answer:
3x =6
Step-by-step explanation:
3x+6 =12
Subtract 6 from each side
3x+6-6 = 12-6
3x =6 pls mark branilest if that helped
In isosceles triangle WXY, XY is 13 inches in length and WY is 10 inches. What is the length of XZ? answer asap please
=============================================================
Explanation:
Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.
That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.
We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.
-----------------------------------
Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.
We'll use the pythagorean theorem to find XZ
a^2 + b^2 = c^2
(XZ)^2 + (ZY)^2 = (XY)^2
(XZ)^2 + (5)^2 = (13)^2
(XZ)^2 + 25 = 169
(XZ)^2 = 169-25
(XZ)^2 = 144
XZ = sqrt(144)
XZ = 12
Segment XZ is 12 inches long.
If an item has a sale price of 60$ after it has been discontinued 20%, what was the original price ?
Answer:
The original price would be $75
Step-by-step explanation:
I just used a calculator