Point O is the center of this circle. What is m CAB?
A.55
B.48
C.45
D.35
The diagonal of a square is 8 cm.
What is the length of the side of this square?
Give your answer as an exact surd in its simplest form
the length of the side of this square is [tex]4\sqrt{2} \:or \:5.65[/tex]cm
Answer:
Solutions Given:
let diagonal of square be AC: 8 cm
let each side be a.
As diagonal bisect square.
let it forms right angled triangle ABC .
Where diagonal AC is hypotenuse and a is their opposite side and base.
By using Pythagoras law
hypotenuse ²=opposite side²+base side²
8²=a²+a²
64=2a²
a²=[tex]\frac{64}{2}[/tex]
a²=32
doing square root on both side
[tex]\sqrt{a²}=\sqrt{32}[/tex]
a=±[tex]\sqrt{2*2*2*2*2}[/tex]
a=±2*2[tex]\sqrt{2}[/tex]
Since side of square is always positive so
a=4[tex]\sqrt{2}[/tex] or 5.65 cm
Answer:
Given :
↠ The diagonal of a square is 8 cm.
To Find :
↠ The length of the side of square.
Using Formula :
Here is the formula to find the side of square if diagonal is given :
[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]
Where :
➺ a = side of square ➺ d = diagonal of squareSolution :
Substituting the given value in the required formula :
[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]
Hence, the length of the side of square is 5.6 cm.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
16 =
ОА. 4
ОВ. 3
ОС. 8
O D. 6
Answer:
A. 4
Step-by-step explanation:
I hope this helps you!!!
Last year, the ratio of the ages of Mel and her friend is 3:4. Next year, the ratio will be 4:5. Form two simultaneous equations using the information above, and solve them by using the elimination method. Hence find their ages now.
Answer:
Above is the answer, coupled with detailed step-by-step explanations. Thank you!
The high school soccer booster club sells tickets to the varsity matches for $4 for students and $8
for adults. The booster club hopes to earn $200 at each match. Let x be the number of student
tickets and y be the number of adult tickets.
List some of the possible combinations of number of tickets they can sell to make $200.
Set up an equation:
4x + 8y = 200
200/4 = 50
200/8 = 25
They callus sell 50 student tickets and 0 adult tickets
They could sell 0 student tickets and 25 adult tickets.
They could sell 10 student tickets and 20 adult tickets
They could sell 10 adult tickets and 30 student tickets
what is g(5)?
g(x)=−x+4, find g(5)
Answer:
g(5) = -1
Step-by-step explanation:
g(5)= -(5)+4
g(5)= -1
Answer:
-1
Hope you could get an idea from here.
Doubt clarification - use comment section.
꧁TheoriesMadeTheWorld꧂
Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was left with $86 after buying the cake, what is Judah’s hourly wage?
$6.14
$7.00
$8.00
$9.63
Answer:
$7.00
Step-by-step explanation:
$86+$12=$98
$98÷14=7
Help, please!
fdlksjflksdjklfjalk
Answer:
m/_a = 8 , m/_b= 3, m/_c = 4
Write the following equations.
Answer:
Step-by-step explanation:
4. 2x + 1 = 17
5. x-13 = 94
6. x/2 = 7
7. 5x = 35
8. x + 43 = 84
9. x-18 = 36
10. x = 8y
11. x = y - 5
12. x + (x+1) + (x+2) = 18
13. x = y + 4
14. 2x + 8 = 24
2
Select the correct answer
What is the sum of the first 28 terms of this arithmetic sequence?
69, 75, 81, 87, 93, 99,...
A. 2,436
B. 4,200
C. 4,320
D. 4,368
Answer:
B. 4200
Step-by-step explanation:
A suitable calculator can add the terms for you. (See attached)
__
The first term is 69, and the common difference is 75-69 = 6. The general term is ...
an = a1 +d(n -1)
an = 69 +6(n -1)
Then the 28th term is ...
a28 = 69 +6(27) = 231
The average term is (a28 +a1)/2 = (231 +69)/2 = 150.
The sum is the number of terms multiplied by the average term:
sum = 28×150= 4200
1
x 1.0 -
=
10
1
-
10 x 1.0
Step-by-step explanation:
the question doesn't make sense and you need to rephrase the question.
Use the distance formula to answer the question:
What is the distance between (5,9), (1, 6)?
Step-by-step explanation:
The formula is Distance=√(x2-x1)²+(y2 -y1)²
x1 is 5, x2 is 1, y1 is 9, y2 is 6
D = √( 1-5)² +(6-9)²
D = √(-4)²+(-3)²
D = √16+9
D = √25
D = 5 units
Help please!!!!!!!!!!!!!
Answer:
Hm? Is there meant to be a file, if so I can’t see it. :((
Step-by-step explanation:
The path of a ball thrown can be modeled by the equation f(x)=−16x^2+45x+6, where x is the horizontal distance. Use a transformation to create a new model in which the ball is thrown twice as far. What is the new equation, what is the transformation, and how did you pick this?
Answer:
g(x) = -4x^2 +(45/2)x +6
Step-by-step explanation:
A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).
g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6
g(x) = -4x^2 +(45/2)x +6
The average laundry worker folds five
towels in a minute, but Miss Parker
folds eight! At the end of an hour,
how many more towels has she
folded than the average worker?
Answer:
Miss Parker folded 180 more towels than the average laundry worker
Step-by-step explanation:
5 multiplied by 60 gives you the average laundry worker- 5x60=300 towels per hour. Miss Parker can fold 8 per minute so you do 8 multiplied by 60 which would give you her average- 8x60=480. To find how many more towels she has folded than the average luandry worker you subtract miss Parker’s total from the average laundry person’s total giving you- 480-300=180
x^2-x+2=0
Please use the quadratic formula
Answer:
[tex]\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}[/tex]
Step-by-step explanation:
[tex]\sf x^2-x+2=0[/tex]
Use quadratic formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\sf a=1, b=-1, c=2[/tex]
___________________________
[tex]\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}[/tex]
[tex]\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}[/tex][tex]\sf =\sqrt{-7}[/tex]_________________
[tex]\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}[/tex]
[tex]\sf -(-1)=1[/tex][tex]2\times 1=2[/tex][tex]\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}[/tex]
_______________________________________
Learn more: brainly.com/question/22286698
I need some help with this.
I only solved #53 , it is inverse.
The base of a triangle is V75 cm and its height is V12 cm. Find its area.
Answer:
450 cm area
Step-by-step explanation:
Formula 1/2*b*h
1/2*75*12cm
1/2*900
1*450cm
450 is area PLEASE MARK BRAINLIEST :))
Find the perimeter of ABC with vertices A(0,-4), B(4,-4), and C(0,-1).
A. 7 units
B. 14 units
C. 12 units
D. 32 units
Answer:
C .12 units I think so if wrong I am sorry
someone.. please help me asap...............................................
Answer :
4x + 9y = 27
Explanation :
Multiply the equation with 9
9( y = -4x/9 + 3 )
9y = -4x + 27
4x + 9y = 27
yler’s brother earns a commission. He makes `2.5\%` of the amount he sells. Last week, he sold `\$9,000` worth of shoes. How much was his commission?
Find the equation of the line that goes through ( 2, 4 ) and ( 4, 6 ).
Answer:
y=x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-4)/(4-2)
m=2/2
m=1
y-y1=m(x-x1)
y-4=1(x-2)
y=x-2+4
y=x+2
what is the order from least toe greatest with the numbers 0.75,0.3215,2/8,9/16
Answer:2/8, 0.3215, 9/16, 0.75
Step-by-step explanation:
2/8 = 0.25 0.3215 is higher then 9/16 =0.5625 next is 0.75
4.8 multiplied to 10 to the power -9
Answer:
000000004.8
Hope it help!
ANSWER. Robert takes a roast out of the oven when the temperature of the roast is 165 F. After 15 minutes, the temperature of the roast drops to 135 F. The temperature of the room is 70 F. How long does it take for the temperature of the roast to drop to 110 F?
ANSWER IS 34
Took the test :)
What is the maximum point OR minimun point of this equation?
y = 1.8 ( x + 2.4 ) 2 + 2.4
Thanks for ur help!!!!!!!!
y=-2x-3
y=2x-1
y=x+4
y=-x+ 2
y=-2x-3
y=x+4
y=2x-1
y=-x+ 2.
W X Y Z
match each point if intersection with system of equations whose
Solution at the point
What three consecutive numbers add up to 75?
Answer:
24,25,26
Step-by-step explanation:
Answer:24, 25, 26
Step-by-step explanation:
Divide the 75 by 3 because that is how many numbers you need. Then subtract 1 to get 24, add 1 to get 26, and also use 25.
Transversal cuts parallel lines and as shown in the diagram, and m∠4 = 55.1°. What are m∠5 and m∠7? A. m∠5 = 34.9°, and m∠7 = 145.1°. B. m∠5 = 55.1°, and m∠7 = 34.9°. C. m∠5 = 124.9°, and m∠7 = 55.1°. D. m∠5 = 55.1°, and m∠7 = 124.9°. E. m∠5 = 34.9°, and m∠7 = 55.1°.
Answer:
m < 5 = 55.1 i think im not forsure
Step-by-step explanation:
Whenever the Transversal EF intersects parallel line AB and CD, the values of m∠5 and m∠7 are 55.1° and 124.9°, respectively.
What is an angle?An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol.
Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.
As per the information provided in the question,
Since the transverse line, EF, intersects the line segment AB and CD, it creates equivalent, alternate, and other angles.
As a result, the m∠5 and m∠7 are as follows:
First, supplementary angles ∠5 and ∠7 are present. Since they add up to 180 degrees, they are equal.
Since alternate angles are equivalent, ∠5 is an alternative angle to ∠4. Therefore,
m∠5 ≅ m∠4
m∠5 = 55.1°
So,
m∠5 + m∠7 = 180°
55.1 + ∠7 = 180
∠7 = 180 - 55.1
m∠7 = 124.9°
To know more about an angle:
https://brainly.com/question/28451077
#SPJ2
PLS HELP Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid’s weight, Pythagoras’s weight would still be 1 4 pound less than he did in January. What is Euclid’s weight? (a) Write an equation that represents the scenario. Begin by defining your variable. (b) Solve the equation. Show your work. (c) What is Euclid’s weight? (d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined weight of the three dogs is 1 60 2 pounds. What is Riemann’s weight, and what is Pythagoras’s weight? Show your work.
Answer: (weight = w)
This is a lot to answer but. (A) (13 x 1.2) - 14 = w
w = 1.6
Step-by-step explanation: