Answer:
Length = 7cm
Breadth = 4cm
Step-by-step explanation:
The shape of the room is original my in a square shape
Area of a rectangle = Length × Breadth
Area = 28 cm²
Length = L - 1
Breadth = B + 2
Hence
28 = (L - 1)(B + 2)
b(b + 3) = 28
b² + 3b = 28
b² + 3b - 28 = 0
b² +7b - 4b - 28 = 0
2. The dimensions of a rectangle are its length and width. For example, the enclosure for 2 monkeys is 36 square feet and could have five different dimensions: , , , , and . The enclosure that holds 6 monkeys has 6 possible sets of dimensions. List all six sets of dimensions for six monkeys.
Answer:1
Which of the following functions has a line of symmetry of x = 2?
Step-by-step explanation:
54 as a fraction of ____ is equivalent to 9/10
Answer:
54 as a fraction of 60 is equivalent to 9/10
Step-by-step explanation:
54/x = 9/10
54 * 10 = x * 9
6*9 * 10 = x * 9
6 * 10 = x
x = 60
What is the value of cose in the diagram below?
a)3/5
b)3/4
c)4/5
d)4/3
In the triangle below, find the measurements of the unknown angles. A. 75º, 105° B. 40°, 80 c. 5° 10° D. 250 50 E. 35°, 70
Answer:
A=35
Step-by-step explanation:
180-75=105, 105÷3=35, 35×2=70, 35+70+75=180
6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?
A. 80 hours
B. 900 hours
C. about 1.78 hours
D. 2.25 hours
Answer:
C. about 1.78 hours
Step-by-step explanation:
Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours
...............................................................................................................................................
Answer: about 1.78 hours
...............................................................................................................................................
t = k/r
2 = k/67
k = 134 (which happens to be the distance)
t = 134/r
t = 134/55
t = 2.436 hours
...............................................................................................................................................
The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours
...............................................................................................................................................
t = k/r\
4 hours and 35 miles per hour,
we find that k = 140.
Now use that 140 in another equation to solve for t:
t = 140/45, and
t = 3.1 hours
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
5x^2-57x=3x-120
Answer:
x=6+2√3 or x=6−2√3
Step-by-step explanation:
Let's solve your equation step-by-step by using completing the square.
5x^2−57x=3x−120
Step 1: Subtract 3x from both sides.
5x^2−57x−3x=3x−120−3x
5x^2−60x=−120
Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.
5x2−60x/5 = −120 /5
x2−12x=−24
Step 3: The coefficient of -12x is -12. Let b=-12.
Then we need to add (b/2)^2=36 to both sides to complete the square.
Add 36 to both sides.
x2−12x+36=−24+36
x2−12x+36=12
Step 4: Factor left side.
(x−6)2=12
Step 5: Take square root.
x−6=±√12
Step 6: Add 6 to both sides.
x−6+6=6±√12
x=6±√12
x=6+2√3 or x=6−2√3
A company charges a shipping fee that is 4.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $70? Round to the nearest cent (hundredths place).
Answer:
3.15 cents
Step-by-step explanation:
So, lets go over all the information we know.
First off, we know that the cost of the item is 70 dollars.
Secondly, we know that the fee is 4.5% of 70 dollars.
Now, what is 4.5%?
Well, we know that 100% is qual to 1.
So lets divide 4.5 by 100, which is just moving the decimal point back by 2:
0.045
Now, the last thing to do is multiply 0.045 by 70.
0.045x70
=
3.15
So now we know the fee for a 70 dollar item is 3.15 dollars!
Hope this helps ;)
Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school. How many children in Eric's school have red hair?
Answer:
35
Step-by-step explanation:
525/75=7x5=35
The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.
Then the number of the children in Eric's school who has red hair will be
Let x be the number of the children. Then we have
[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
Which expressions are differences of squares?
Select each correct answer.
Answer:
First two are difference in squares.
81=9^2 225=15^2Answer:
The expression which denotes the differences of squares is
n² - 225
As here 225 is a square of 15.
Hope it will help :)❤
P , Q, R and S are four points on a circle
Answer:
Yes
Step-by-step explanation:
it is because they meet together
pls help me answer this question
Answer:
c
Step-by-step explanation:
10*10=100
100-78.54=21.46
so rounded answer is c or 21.5
goodluck on your test
Answer: Hello Luv......
C. 21.5
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
Find the base area of a square pyramid
whose base has a side length of 12cm.
A) 148 B) 144
C) 143
D) 140
Answer:
B) 144 cm^2
Step-by-step explanation:
solve for n: 3 x n = 2 x 9
Answer:
n = 6
Step-by-step explanation:
3 x n = 2 x 9
2 x 9 = 18
3 x n = 18
divide by 3 on both sides:
n = 6
hope this helped :)
NO LINKS plz help
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 7 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
14.4
Step-by-step explanation:
16^2 - 7^2 = root of 207
What is the geometric mean of 18 and 49
Step-by-step explanation:
Geometric mean =√18×49√88229.69hope it helps.
Answer:
Below
Step-by-step explanation:
√(18*49)
= √882
= 29.70 to nearest hundredth.
2+2=4 got it right took the test.
Answer:
Good for you
Step-by-step explanation:
U + 3 = 7 step by step explanation
o Explain "set"
2 list the tyres Or Set
3 What is a Circle?
a List the properties of a Circle
Сл
Answer:
3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.
\greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{11\,\text{cm}}11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.
What is the area of the shaded region
Answer:
Area of the rectangle: 24 cm²
Area of the circle: 380.13 cm²
Area of between the circle and the rectangle: 356.13 cm²
Step-by-step explanation:
Answer:
397.39
Step-by-step explanation:
The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
Find the MEAN of the temperatures. Round to the nearest tenths place.
A. 82.3
B. 89
C. 83
D. 78
Answer: A) 82.3
Step-by-step explanation:
Mean= average
To find mean, you add up all the numbers and divide by the number of numbers.
In this case you do:
(81+78+83+89+80+87+78) ÷ 7
81+78+83+89+80+87+78
=576
Now, divided by 7
576 ÷ 7
= 82.2857142857
Round to nearest tenths place
= 82.3
18. Is this figure a polygon? Explain.
Answer:
no
Step-by-step explanation:
A polygon is a flat, two-dimensional shape with straight sides that is fully closed.The sides must be straight. Polygons may have any number of sides. A shape with curved sides is not a polygon.
(help pls)
1. what is the probability of an event if event will never happen?
a. 0
b. 1
c. ½
d. ¼
2. which of the following can be the probability of an event?
a. -0.4
b. 1.004
c. 18 over 23
d. 10 over 7
Answer:
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
➳ 0.
➳ 18 over 23.
Answer:
0 is the correct answer if you won't understand than contact me
pedro tenia 80.000 y gasto el 25% ¿cuanto dinero le queda?
The slope of the line that passes through the points (-24, m) and (12,11) is 1/12. What is the value of m?
NO LINK
Answer:
Find the Slope = y2 - y1 / x2 - x1
= 6 - 2 / 12 - -4
= 4/16
= 1/4 This is the slope, m.
2) Now, plug m and one point into: y - y1 = m (x - x1)
y - 6 = 1/4 (x - 12) Distribute the 1/4
y - 6 = 1/4 * x - 3 Solve for y
y = 1/4*x - 3 + 6
y = 1/4*x + 3
Step-by-step explanation:
brainliest please?
The value of m for a line that passes through (-24, m) and (12,11) and have a slope of 1 / 12 is 8.
What ia a slope?The slope of a line is a measure of its steepness. The slope is rise divided by the run.
Therefore,
(-24, m)(12, 11)
slope = m = 1 / 12
slope = y₂ - y₁ / x₂ - x₁
Therefore,
x₁ = -24
x₂ = 12
y₁ = m
y₂ = 11
1 / 12 = 11 - m / 12 + 24
1 / 12 = 11 - m / 36
cross multiply
36 = 12(11 - m)
36 = 132 - 12m
36 - 132 = -12m
-96 = -12m
m = 96 / 12
m = 8
learn more on slope here:https://brainly.com/question/13929101
210 is what percent of 500?
Answer:
42
hope this answer helps you!
PLEASE HELP I NEED IT TO PASS THIS CLASS
Answer:
∠ 1 = 99°, ∠ 2 = 81°, ∠ 4 = 81°
Step-by-step explanation:
∠ 1 and ∠ 3 are vertical angles and are congruent, then
∠ 1 = 99°
∠ 1 and ∠ 2 are adjacent angles and sum to 180° , so
∠ 2 = 180° - 99° = 81°
∠ 2 and ∠ 4 are vertical angles and are congruent, so
∠ 4 = 81°
What two numbers multiply together to equal 15 and add together to equal 8?
Answer:
5 and 3
Step-by-step explanation:
please mark me brainlist
Determine if the following triangles are right triangles. Prove your answers using the
Pythagorean Theorem.
12 ft
7 ft
10 ft
Please help
Answer:
not a right triangle
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 12 and 12² = 144
7² + 10² = 49 + 100 = 149 ≠ 144
Then triangle is not right
Alyssa was out at a restaurant for dinner when the bill came. Her dinner came to $25
She wanted to leave a 27% tip. How much was her meal plus the tip, before tax, in
dollars and cents?
In the isosceles trapezoid below,
x = [? ]°
5x-20°
2x+37°
Answer:
x = 19
Step-by-step explanation:
The lower base angles in an isosceles trapezoid are congruent , then
5x - 20 = 2x + 37 ( subtract 2x from both sides )
3x - 20 = 37 ( add 20 to both sides )
3x = 57 ( divide both sides by 3 )
x = 19