Please help me with number ten and twelve
Answer: [tex]93,\ 34^{\circ}[/tex]
Step-by-step explanation:
Given
For figure (i) both triangles are congruent
[tex]\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]
[tex]\Rightarrow PQ=8x-27\\\Rightarrow PQ=93[/tex]
For figure (ii)
Two triangles WXZ and WZY are congruent
[tex]\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}[/tex]
the length of a rectangle is three times that of the width. the perimeter of the rectangle is 32 cm. what is the width of the rectangle (answers are A- width = 2cm B- width 3cm C- width 4cm)
Answer:
c
Step-by-step explanation:
John wants to know his class’s favourite TV show, so he surveys all of the boys. Will the sample be representative or biased?
The sample will be biased.
What is bias?
Bias is a disproportionate weight in favor of or against an idea or thing, usually in a way that is closed-minded, prejudicial, or unfair. Biases can be innate or learned. People may develop biases for or against an individual, a group, or a belief. In science and engineering, a bias is a systematic error.
Here, we have,
John wants to know his class’s favourite TV show, so he surveys all of the boys.
now, we get,
The sample will be biased.
to learn more on bias click:
brainly.com/question/28748065
#SPJ2
At Fairview middle school 75 being members need to raise a total of $8250 for a trip so far they have is $3120 how much money in dollars per bandmember still needs to raised for the trip
Answer: 68.40$ per member left.
Explanation:
8250 = 75x + 3120
5130 = 75x
68.4 = x
3 · (7 – 2) – 23 – (10 – 4) : 9
Answer:
-14:9
Step-by-step explanation:
Given :
3 · (7 – 2) – 23 – (10 – 4) : 9
Now,
3 · (7 – 2) – 23 – (10 – 4) : 9
21-6-23-6:9
21-35:9
-14:9
Answer will be -14:9
Bob eats 1/4 of a pie and later eats 2/5 of the pie. What fractions remains?
Answer:
9/20
Step-by-step explanation:
After Bob eats 1/4 of the pie, he has 3/4 left. 2/5 of 3/4 is the same as (2/5)*(3/4) because "of" is used as multiplication in math. (2/5)*(3/4)=6/20, so he ate 6/20 of the pie. To get the answer, you need to solve 1-(1/4+6/20)=
1-(5/20+6/20)=20/20-11/20=9/20. I hope this helps and sorry if I made a mistake. :)
Solve for the variable: p - 4.2 = 2. Show your work
Answer:
6.2
Step-by-step explanation:
P - 4.2 =2
we have to no separate the variables and constants
so , when we move 4.2 to the other side ( other side of 2) it will be something like this
p = 2+4.2
as you can wee when we moved 4.2 to the other side the operation changed from ,minuus to plus sign .
now just do what it says
formula :
=p-4.2=2
=p = 2+4.2
= 2+ 4.2= 6.2
so,
p=6.2
write the formula , I think no need to write explanation
what is the solution of 56= k-42
Answer:
k=98
Step-by-step explanation:
Let's solve your equation step-by-step.
56=k−42
Step 1: Flip the equation.
k−42=56
Step 2: Add 42 to both sides.
k−42+42=56+42
k=98
I Hope This Helps If Not Then Im Srry....
Helppppp pleaseeeeee!!!!!’
Answer:
[tex]\text{(a) }\$10,080,\\\text{(b) }\$11,289.60,[/tex]
Step-by-step explanation:
Since interest is compounded annually, the amount of money the account has after [tex]n[/tex] years is given by [tex]y=9,000\cdot 1.12^n[/tex].
(a) After 1 year, [tex]n=1[/tex]:
[tex]9,000\cdot 1.12^1=\boxed{\$10,080}[/tex]
(b) After 2 years, [tex]n=2[/tex]:
[tex]9,000\cdot 1.12^2=\boxed{\$11,289.60}[/tex]
set up an equation and solve the following
Three times a number plus 5 gives 20. what is the number.
please give me answer
Here's an answer! :)
what is 2 over 3 + 4 over3
Is this true or false???!!!
Answer:
It is true
Step-by-step explanation:
Hopes this help
the rectangle with 2 row nd each raw has 6 square each sudw of square is 1 cm determine the perimeter of rectangle and area of square
Answer:
Perimeter of rectangle is 16 cm and the area of square is 1 cm^2
Step-by-step explanation:
Here, we want to get the perimeter of rectangle and area of square
From the question, the rectangle has 2 rows of 6 squares each; So we have the length as 2 cm and the width as 6 * 1 cm = 6 cm
So the rectangle is 6 cm by 2 cm
The perimeter of a rectangle is 2(l + b)
so, we have 2(6 + 2) = 2(8) = 16 cm
The area of the square is simply the side length raised to the power of 2
we have this as 1^2 = 1 cm^2
A cone has a radius of 12 inches and a slant height of 20 inches. What is the approximate surface area of the cone?
Answer:
2009.6 in²
Step-by-step explanation:
The surface area, SA of a cone is obtained using the formular :
SA = πr² + πrl
Where ; r = Radius = 20 inches ; l = slant height = 12 inches
SA = π*20² + π*20*12
SA = 400π + 240π
Take π = 3.14
SA = (400*3.14) + (240*3.14)
SA = 1256 + 753.6
SA = 2009.6 in²
differentiate y=(5x-1)^1/2
Answer:
Df(1/5,+∞) or x>1/5 step by step
Can you please help me ASAP
Answer:
x=35 this is your answer
Faith makes greetinli cards with colored paper. She plans to make 1/5 of the cards out of red paper. She
has 25 sheets of colored paper in all. If she uses all the colored paper she has, how many sheets are a
color other than red?
Select the correct answer.
Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh
Answer:
Greg weighs 180 pounds
Justin weighs 165 pounds
A triangular parcel of land has side lengths of 100, 580, and 600 feet. Approximate the area of the land. Round your answer to the nearest foot.
Answer:
28800 square feet
Step-by-step explanation:
We solve this using the Heron's formula
Area of a Triangle = √s(s - a)(s - b)(s - c)
s = a + b + c/2
s = 100 + 580 + 600/2 = 640
Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)
= √640 × (540) ×( 60) × (40)
= √(829440000)
= 28800 square feet
Therefore, the approximate the area of the land is 28800 square feet.
El acero de alta resistencia es el principal material de los submarinos actuales, con un límite de profundidad de 250 a 400 m para que no haya ningún riesgo de explosión. Si se sabe que la distancia entre los 2 barcos es de 188 m y que las distancias de los barcos hasta el submarino son de 152 y 192 m respectivamente. Determina si el submarino corre algún riesgo de explosión, justificando la respuesta al mencionar la profundidad a la que se encuentra el submarino.
James can write 6 paragraphs in 24 minutes.
Using the same unit rate, how many paragraphs can James write in 16 minutes?
Lets find out how many a minute. 3 in 12 minutes, 1 in 4 minutes, so 1/4th of a paragraph per minute.
Now 1/4 times 16 = 4. So he can write 4!
Brainliest or Heart if helpful!
What does a variable represent? Pls help
Answer:
A number we don't know
Step-by-step explanation:
Let p(x)=3x-7. If p(x)=0,find x. A. -7
B.-4
C. 4
D. 7/3
E. The correct answer cannot be determined
Answer:
D
Step-by-step explanation:
0=3x-7
0=3x+7
7=3x/3
7/3=x
Pam's eye-level height is 324 ft above sea level, and Adam's eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, with d being the distance they can see in miles and h being their eye-level height in feet. 1 mi StartRoot 6 EndRoot mi 19 mi 19 StartRoot 6 EndRoot mi
Answer:
B. StartRoot 6 EndRoot mi
√6 mi
Step-by-step explanation:
A. 1 mi
B. StartRoot 6 EndRoot mi
C.19 mi
D. 19 StartRoot 6 EndRoot mi
d = √(3h/2)
Where,
d = distance they can see in miles h = their eye-level height in feet
Pam:
h = 324 ft
d = √(3h/2)
d = √{(3 * 324)/2}
= √972/2
= √486
= √(81 * 6)
= √81 * √6
= 9√6 mi
Adam:
h = 400 ft
d = √(3h/2)
d = √{(3 * 400)/2}
= √1200/2
= √600
= √(100 * 6)
= √100 * √6
= 10√6 mi
How much farther can Adam see to the horizon?
Adam - Pam
= 10√6 - 9√6
= √6 mi
Which of the following would be the most logical first step to solving this
quadratic equation?
x2 - 5x + 6 = 0
A. Add -6 to both sides.
B. Take the square root of both sides.
C. Use the zero product rule to set up smaller equations.
D. Factor the left side.
Answer:
D)Factor the left side
Step-by-step explanation:
(x-2)(x-3)
Helpppppp please I need this
Choose all of the angles that are coterminal with -150°.
150°
-510°
210°
-210°
570°
I'm pretty sure u chose all the ones with - in it
What is the factored form of x2 + 2xy − 8y2?
Answer:
(x+2y)(x−4y)
hope this helps!
Sam is 34 years younger than Ashton. 4 years ago, Ashton's age was 3 times Sam's age. How old is Sam now?
Answer:
21years old
Step-by-step explanation:
Let Sam's age be x
Let Ashton present age be y
If Sam is 34 years younger than Ashton then;
x = y - 34 .... 1
If by 4 years ago, Ashton's age was 3 times Sam's age then;
Sam = x - 4
Ashton = y - 4
y-4 = 3(x-4)
y-4 = 3x - 12 ....2
Substitute 1 into 2;
y-4 = 3(y-34)-12
y-4 = 3y-102-12
y-4 = 3y - 114
y-3y = -114 + 4
-2y = -110
y = 110/2
y = 55
Since x = y- 34
x = 55-34
x = 21
Hence Sam will be 21years old now
Witch statement about a quadrilateral is true 1. A rhombus has exactly one pair of parallel sides. 2. A trapezoid has two pairs of parallel sides. 3. All rectangle are squares. 4. Some rhombus have four right angles
Answer:
Statement 4 is true.
Step-by-step explanation:
- Statement 1 is false because a rhombus has 4 equal sides with 2 pairs being parallel to each other.
- Statement 2 is false because a trapezoid usually has only 2 sides that are parallel while the other 2 are not parallel. Thus it has only a pair of parallel sides.
- A square must have all 4 sides equal. But rectangles don't have all 4 sides equal and so the statement is false.
- Rhombus has all 4 sides equal and where it has all interior angles as right angles, it is called a square. Thus, some rhombus have all 4 interior angles as right angles.
