Answer:
l= 10 , w=7
Step-by-step explanation:
If the length of a rectangle is 11 m less than 3 times the width, then we can come up with this equivalency:
l = 3w - 11
where l stands for length and w stands for width. Now we plug in the equivalency into the equation for the area of a rectangle:
A = lw
A = (3w - 11)w
70 = (3w - 11)w
70 = 3w2 - 11w
Then solve for w by completing the square. Now, in order to complete the square for this, we need to find a completion that fits 3w2 - 11w + ? and completes the base factoring of (√(3)w - ? )2. The only one that fits the second question mark so that it can work out to the first is (11√3)/6, and when we work it into the first question mark, the first question mark becomes 121/12. Essentially, what we have for completing the square is:
70 + 121/12 = 3w2 - 11w + 121/12
80.08333 = (√(3)w - (11√3)/6)(√(3)w - (11√3)/6)
80.08333 = (√(3)w - (11√3)/6)2
8.94893 = √(3)w - (11√3)/6
Solving for w, we get:
12.124 = √(3)w
w = 7
Since we know that the length is 11 m less than 3 times the width, we can plug w into the first equation to find l:
l = 3w - 11
l = 3(7) - 11
l = 21 - 11
l = 10
And if we want to check, lw = (10)(7) = 70.
help me with this math question please I'm giving away brainliests
Answer:
horiz = 5
vertic = 2
y inter =13/2
x inter =13/5
Step-by-step explanation:
Can someone please help I will give brainliest!!! It’s due tonight
Answer:
1738
Step-by-step explanation:
ya I honestly think that the binomial of the quadriceps and triceratops are
Find the values of x and y write your answers in simplest form.
A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inches. How many softballs with a diameter of 3.8 inches will fit into the container? Use the drop-down menus to explain your answer.
Answer:
3
Step-by-step explanation:
Find the area of the figure.
9514 1404 393
Answer:
7 square inches
Step-by-step explanation:
We take the "3 in" dimension at the left to be the length of the line segment below the 1" square, so the height of the right triangle is 3+1 = 4 in.
The triangle area is ...
A = 1/2bh
A = 1/2(3 in)(4 in) = 6 in²
The square area is ...
A = s²
A = (1 in)² = 1 in²
Then the total area of the figure is ...
1 in² + 6 in² = 7 in²
Help ! ASAP ! I need this done !
Answer:
B. K = 5
Step-by-step explanation:
Rita has a number cube and a letter cube. The number cube is numbered 1 through 6. The letter cube is lettered A through F. Rita will roll each cube once. What is the probability that she rolls an odd number with the number cube and a vowel with the letter cube? I
A 2/3
B 1/6
C 1/3
D 1/4
I need help with Question 9 ?
Answer:
x/6 = 3/2
Step-by-step explanation:
heyy! i’ll give brainliest please help.
Answer:
The first answer is correct I believe
Step-by-step explanation:
A circle is inscribed in a square, as shown in the figure below. The length of
a side of the square is 10 . What is the area of the circle?
Answer:
78.5 cm^2
Step-by-step explanation:
the circle's diameter is 10cm --> its radius is 5cm
the area of the circle is 5^2 x 3.14 = 78.5cm^2
The area of circle is [tex]25\pi[/tex] square units.
What is the formula for area of circle?
The area of a circle is given by [tex]\pi r^{2}[/tex] where r is the radius of the circle.
What is the area of given circle?The given circle is inscribed in a square. so, the side length of the square will be the diameter d of the circle.
So, d=10.
Divide diameter d by 2 to get the radius of the circle.
[tex]r=\frac{10}{2}[/tex]
So, r=5.
Substitute 5 for r into the formula of area of circle.
[tex]\pi \cdot5^{2}=25 \pi[/tex]
Therefore, the area of circle is [tex]25\pi[/tex] square units.
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1.
Write y = x2 - 4x – 5 in the form y = (x + h) + k
Someone please help meee
Answer:
y = (x - 2)² - 9
Step-by-step explanation:
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 - 5
y = (x - 2)² - 9
factorize fully and also write in simplest form [tex]x^{2} +3x-10[/tex]
Step-by-step explanation:
x²+3x-10 =
(x+5)(x-2)
______
need help asap! giving brainliest!!
Answer:
c = 8.6
Step-by-step explanation:
a² + b² = c²
The length in x is 7
The rise in y is 5
7² + 5² = c²
49 + 25 = c²
74 = c²
Take the square root of both sides
c = 8.602325267
Rounded
c = 8.6
If anyone knows the answer to this question please help!
7th grade math
Answer: 54°
Step-by-step explanation:
We can see that this triangle is a right triangle (look at the little square in the triangle's corner-- that tells us that it's a right angle). A right angle is 90°
A triangle always has 180° in total.
So, we can add 90° and 36° and subtract the sum from 180°
180° - (90° + 36°) = 180° - 126° = 54°
Answer:
x = 54
Step-by-step explanation:
One of the properties for any triangle is that the sum of angles in the triangle will always equal 180 degrees. As one can see, one of the angles is (90) degrees, this is indicated by the box around the angle. It is given that one of the other angles is (36) degrees. One can call the unknown angle (x) and form an equation. Substitute in the given values and solve for (x).
(90) + (36) + (x) = 180
Simplify,
126 + x = 180
Inverse operations,
126 + x = 180
-126 -126
x = 54
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 243 cubic units.
What is the height of the cylinder?
2 units
4 units
6 units
8 units
Answer: C 6 units
Step-by-step explanation: Edg
Another one i need help with
por qué la triangulación con dos diagonales en un rectángulo no es adecuada para calcular el
área del rectángulo y calcular la suma de los ángulos internos del rectángulo
Answer:
rfgcc ft v crytrcvrcvhtfvyrfftv ffg
Step-by-step explanation:
tgfgghcg gn v v
what is the value of 100 3/2
Hint: its not 203/2 or 101.5
its was 101.5 try it that's the answer
A soup can has a diameter of 4 inches and the height of the can is 7 inches. Desiree needs to design a label for the soup can. Approximately how many square inches does the label take up?
Answer:
87.96 square inches
Step-by-step explanation:
The soup can is a cylinder, and we can find how many square inches the label will take up by finding the lateral surface area
Use the formula, LA = 2[tex]\pi[/tex]rh
The diameter is 4 inches, so the radius is 2 inches
Plug in the radius and height into the formula, and solve:
LA = 2[tex]\pi[/tex]rh
LA = 2[tex]\pi[/tex](2)(7)
LA = 28[tex]\pi[/tex]
= 87.96
So, the label will take up approximately 87.96 square inches
Which equation describes the line that contains the points (7, 17) and (15, 33)?
Answer:
c bc it describsj7jndifkrk shdhitm
5. A number or symbol multiplied with a variable
Answer:
Coefficient
Step-by-step explanation:
Someone help I can't get the answer correct
Peter is a long distance runner. In a training session he runs around the 400 m track 23 times. He wanted to run a distance of 10 km. How many more times does he need to run around the track to achieve this?
Answer:
2
Step-by-step explanation:
Currently, Peter has run a total distance of [tex]400\cdot 23 =9200\:\text{m}[/tex]. His goal is 10 km, as stated in the problem, which equates to 10,000 meters. Thus he will need to run [tex]10,000-9,200=800[/tex] more meters to achieve his goal. Since the track is 400 meters, he needs to run around the track [tex]\frac{800}{400}=\boxed{2}[/tex] more times to achieve his goal.
Nina paid the bill for dinner with her family. The total cost of the food was $65, and the restaurant added an 8 percent sales tax, $5.20, to the bill. Nina wants to pay a 15 percent tip on the total bill including sales tax. What is the amount of the tip?
Answer:
$80.73
Step-by-step explanation:
You add $65 and $5.20, which gives you $70.20. Then you divide $70.20 by .15 which gets you $10.53. Then you add $70.20 and $10.53 which gives you the total, $80.73
Answer:
$10.53
Step-by-step explanation:
i did the test
Select the correct answer from the drop-down menu.
Astronomers have estimated that our cosmos contains approximately 50,000,000,000 galaxies. This number can be expressed in scientific notation as
1. 5E-10
2. 5E10
3. 5E-9
4. 5E9
Answer:
Second option: 5E 10 = 5*10^(10) galaxies.
Step-by-step explanation:
The exponential notation is used as:
AE N
This is equal to:
A*10^(N)
And we need to add N zeros to the right of A.
While if we had:
AE - N
A*10^(-N)
We need to add N - 1 zeros at the left of A.
Now we have the number:
50,000,000,000
Let's count the number of zeros at the right of the 5, we have 10 zeros.
Then we would write this as:
5*10^(10)
OR
5E 10
Then the correct option is the second one.
Answer:
2. 5E10
Step-by-step explanation:
Solve this polynomial equation by rearrranging it in the correct order:
23 + 3x2 = 10.2
1. x = 0, x = -2, x = 5
1 2. 23 + 3x2 – 10x = 0
13. x = 0, 3 – 2=0, x + 5 = 0
1 4. x(x − 2)(x+5) =
15. z (x² + 3x – 10) = 0
Answer:
1. x = 0
12. x = 3
13. x = 0
14.
A flower shop ordered a shipment of red, blue, and white flowers. • The ratio of red: blue: white flowers in the shipment is 3 : 1 : 2. • There are 60 white flowers in the shipment. How many flowers are in the shipment?
Pam has 4 yards of fabric she needs 2/3 of fabric for each curtain How many curtains can Pam make with the fabric she has?
Answer: 6
Step-by-step explanation:
Since Pam has 4 yards of fabric and she needs 2/3 yards of fabric for each curtain, the number of curtains that Pam can make with the fabric she has will be the total yards of fabric that she has divided by the fabric needs for each curtain. This will be:
= 4 ÷ ⅔
= 4 × 3/2
= 6
Therefore, she will make 6 curtains
30 Points
Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in, high. Her paper is 12 in, wide and 24 in. tall. She decides to use the scale 1 in. = 4
in. Is this a reasonable scale?
Step-by-step explanation:
1:4=.25 or 25%
so 12/47=.25 or 25%
24/120=.2 or 20%
that ratio does not match the height ratio
Sarah's scale is reasonable.
What is a scale drawing?
A scale drawing is a smaller diagram in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension.
Is Sarah's scale reasonable?The first step is to determine the how larger the paper is in terms of the painting.
48 / 12 = 4
120 / 24 = 5
This makes her scale of 1 in to 4 in reasonable.
To learn more about scale drawings, please check: https://brainly.com/question/26388230
hii someone pls help me, I’m confused
Answer:
A, B, and D
Step-by-step explanation:
A, B, and D
Answer:
m²+m²+m²+m²
m⁸
4m²
Step-by-step explanation:
The equation is basically asking what is the same as m² times 4