Answer:
length = 9 in ; width = 4 in
Step-by-step explanation:
1) formula of the area of a rectangle
A = base x width
2) write an equation with the given informations:
w x (3w-3) = 36
3) solve the equation
- multiply W by 3w and -3
3w^2 -3w = 36
- divide the two members by 3
w^2 - w = 12
- add up -12 at the two members
w^2-w -12 = 12 -12
w^2 - w - 12 = 0
- find two numbers whose sum is -1 and whose product is -12 and factorise the equation
(w-4)(w+3) = 0
- find the two solutions
w-4 = 0
w = 4
w+3 = 0
w = -3
4)remember that a length can’t be negative.
w = 4 is the only solution
5) find the length
4x3 - 3 = 9
25 points. Need help
Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
find the value of x in this screenshot
Answer:
X=24
Step-by-step explanation:
3x+5+2x-4+2x+11=180
7x+12=180
7x=180-12
7x=168
7x/7=168/7
x=24
Jackson bought a jar of 240 marbles. The percent bar graph shows the percentage of each color marble in the jar.
How many of the marbles are yellow?
Answer:
72 marbles are yellow
Step-by-step explanation:
Select the statement that describes this expression: 5 x (3 + 4) − 4. (2 points)
5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4
Answer:
5 times the sum of 3 and 4, then subtract 4
Answer:
5 times the sum of 3 and 4, then subtract 4
Step-by-step explanation:
Hope this helps
the product of 2 consecutive integers is 42. find the integers
Answer:
6 & 7
Step-by-step explanation:
6 x 7 = 42
They are consecutive!
Answer:
6x7
Step-by-step explanation:
hope this helps!
Which one doesn’t belong?
Come up with one reason for at least 3 different boxes
Answer:
I think box #1 doesnt't belong because it say spend $100 and get $10 off
Step-by-step explanation:
Use this picture to name one pair of ALTERNATE EXTERIOR angles: *
Answer:
angle 4 is congruent to angle 7
angle 8 is congruent to angle 3
angle 2 is congruent to angle 5
angle 1 is congruent to angle 6
Step-by-step explanation:
alternate exterior angles are congruent, which means identical
Since you started recording it on your calendar. There have been 112 sunny and 42 rainy days. What has been the rainy day to sunny day ratio?
Answer: 3:8
Step-by-step explanation:
Number of rainy days = 42
Number of sunny days = 112
To calculate the rainy day to sunny day ratio, we can first use the numbers given as fraction and divide to its lowest term. This will be:
= Number of rainy days / Number of sunny days
= 42 / 112
= 3/8
Therefore, the ratio of rainy days to sunny days will be 3:8
(HELP NEEDED ASAP Will give brainliest) What is the lateral surface area?
(all square inches)
80
86
60
92
Answer:
80
Step-by-step explanation:
Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80
b/c the 2 lines are equal
Can Someone Help me, pls?
Answer:
6.25 <7
Step-by-step explanation:
Answer:
(1) [tex]x\leq 4[/tex]
(2) [tex]x\geq 4[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}x + 6\leq 7\\(4) \frac{1}{4}x + 6\leq 7(4)\\x+24\leq 28\\ - 24 -24\\x\leq 4[/tex] [tex]-5x-24\leq -44\\+24 +24\\-5x\leq -20\\\frac{-5x\leq -20}{-5} \\x\geq 4[/tex]
Since multiplication is implied algebra we often don't need to actually write the times symbol ‘×'. Re-write this algebraic equation without the times symbol. a × b = 4 × c
Answer:
ab=4c
Step-by-step explanation:
Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.
Answer:
ab=4c
Step-by-step explanation:
Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:
Say you have a x b = 5 x 5c
It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!
Combine like terms.
4n + 11 − 2n − 5
Hey there!
4n + 11 - 2n - 5
COMBINE the LIKE TERMS
= (4n - 2n) + (11 - 5)
= 4n - 2n + 11 - 5
= 2n + 6
Therefore, your answer should be:
2n + 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex] \sf \: 2n + 6[/tex]
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
Main steps included in solving,
→ Rearranging the expression.
→ Combining the like terms.
The expression is,
→ 4n + 11 - 2n - 5
Let's simplify the expression,
→ 4n + 11 - 2n - 5
→ (4n - 2n) + (11 - 5)
→ (2n) + (6)
→ 2n + 6
Hence, the answer is 2n + 6.
PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH
Answer:
I can't see!
Step-by-step explanation:
Please help I’ll mark brainliest
Answer:
-2-24i
Step-by-step explanation:
vector addition
let x be the value without the vector I
x+7+5=10
x=10-12
x=-2
let y be the value with the vector I
y-3+9+13= -5
y +19= -5
y= -24
hi, find the real zeros. if there are none, just say none.
Answer:
None
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
cause there isnt any zero
The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units
Answer:
The area of a triangle is 1/2BH, or 1/2 times the base times the height.
If the area = 6, and B and H must both be whole numbers.
The area of the triangle ΔSTU is given by A = 12 units²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle ΔSTU be represented as A
Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units
So , the base of the triangle ΔSTU = 6 units
The height of the triangle ΔSTU = 4 units
So , area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
The area of triangle ΔSTU = ( 1/2 ) x 4 x 6
The area of triangle ΔSTU = 12 units²
Therefore , the value of A is 12 units²
Hence , the area of the triangle is 12 units²
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ3
The complete question is attached below :
The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?
Mrs Fuller plants a 4 inch tomato plant in her garden. The tomato plant grows at a rate of 2 inches each week. Which equation can be used to determine h, the height of the tomato plant in inches after w weeks?
Answer: 4 + 2w
Step-by-step explanation:
The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:
h = 4 + 2(w)
h = 4 + 2w
For example, the height of the tomato plant in inches after 5 weeks will be:
h = 4 + 2w
h = 4 + 2(5)
h = 4 + 10
h = 14 inches
what is the input of arccos
Answer:
It returns the angle whose cosine is a given number.
Step-by-step explanation:
For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"
cos30 = 0.866 Means: The cosine of 30 degrees is 0.866
arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.
Use arccos when you know the cosine of an angle and want to know the actual angle.
City A and City B are 540 miles apart on a map. The scale on the map is 1inch:60 miles. How many inches apart on the map should City A and City B measure. Explain how you would solve this problem. What would the final answer be?
Answer: 9 inch
Step-by-step explanation:
Given
Distance between city A and city B is 540 miles
Scale on the map is 1 inch: 60 miles i.e. 1 inch on the map is equivalent to 60 miles in the real situation
suppose the distance between city A and B on the map is x
[tex]\therefore \dfrac{1}{60}=\dfrac{x}{540}\\\\\Rightarrow x=\dfrac{540}{60}=9\ in.[/tex]
Therefore, the distance between city A and B is 9 in.
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared
Answer:
[tex]b_1 \approx 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
Step-by-step explanation:
Given
[tex]Area = 65cm^2[/tex] --- Area of the triangle
[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid
The missing parameters is:
[tex]h=6 cm[/tex] --- Trapezoid height
Required
Determine b1 and b2
Since the areas of the trapezoid and the triangle are the same, then:
[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]
So, we have:
[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]
Substitute[tex]b_2 = 2b_1[/tex]
[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]
[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]
[tex]65 = 3b_1 * 3[/tex]
[tex]65 = 9b_1[/tex]
Solve for [tex]b_1[/tex]
[tex]b_1 = \frac{65}{9}[/tex]
[tex]b_1 \approx 7.2[/tex]
Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]
[tex]b_2 \approx 2 * 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
What is the length of side a? Round to the nearest tenth of an inch
Answer:
ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36
Mihn invested $1,479.81 last year. What is the place value of the 8 in 1,479.81?
thousands
tens
tenths
thousandths
Two-step equation
2x+5x=-1
What's the answer for x=
Answer:
x=-1/7
Step-by-step explanation:
Combine like terms
7x=−1
Then you divide both sides by 7 and then you get x=-1/7 (fraction)
Hope it helps :)
The ratio of the length to the width to the height of an open rectangular tank is 10: 5: 8. The height is 18 feet longer than the width. What is the volume of the tank
Answer:
hi
Step-by-step explanation:
how are you
Answer: A: L: W: H = 10: 5: 8
Step-by-step explanation: The height of the tank is 18 feet longer than the width
H = 8 parts, W = 5 parts => 8 – 5 parts = 18 feet i.e. 3 parts = 18, 1 part = 6 feet
Hence, L = 10 * 6 = 60 feet
W = 5 * 6 = 30 feet
H = 8 * 6 = 48 feet
Volume = 60 * 30 * 48 = 86400 ft³
Surface Area = 2 * (30 * 60 + 48 * 60 + 30 * 48) =12240 ft²
Please help me with the right Awnser
Answer:
40 m2
Step-by-step explanation:
96m² is your Answer:
Solution given:
base[b]=12m
height[h]=8m
we have
Area of parallelogram=b×h=12×8=96m²
Ayuden porfa . Determine 4 ala potencia x + 4 la potencia -x si se sabe que 2 ala potencia x + 2 ala pontecia -x es igual a 3
Answer:
4ˣ + 4⁻ˣ es igual a 7
Step-by-step explanation:
4ˣ + 4⁻ˣ
Dónde;
2ˣ + 2⁻ˣ = 3
Nosotras tenemos
[tex]2^x + \dfrac{1}{2^x} = 3[/tex]
[tex]2^{2\cdot x} +1 = 3 \cdot 2^x[/tex]
[tex]2^{2\cdot x} - 3 \cdot 2^x +1 = 0[/tex]
Deje que 'a' represente 2ˣ, tenemos;
a² - 3·a + 1 = 0
a = (3 ± √(3² - 4 × 1 × 1))/2 = (3 ± √5)/2
∴ a = 2ˣ = (3 ± √5)/2
((3 ± √5)/2)^2 - 3×(3 ± √5)/2 + 1
x = ln(3 ± √5)/2/(ln(2))
4ˣ + 4⁻ˣ = 4^(ln((3 ± √5)/2)/(ln(2))) + 4^(-(ln((3 ± √5)/2)/(ln(2)))) = 7
∴ 4ˣ + 4⁻ˣ = 7.
what are systems of equations and inequalities definitions?
Answer:
A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.
Step-by-step explanation:
Hope this helps. :D
The smelter produces 384 tons of cast iron a day. How much coke is burned per day during smelting if 15 tons of coke is consumed per 16 tons of cast iron?
Answer:
360 tons
Step-by-step explanation:
Coke burned : cast iron = 15 : 16
The smelter produces 384 tons of cast iron a day
Let x = tons of coke burned
Coke burned : cast iron = x : 384
Equate both ratios
15 : 16 = x : 384
15/16 = x/384
Cross product
15 * 384 = 16 * x
5,760 = 16x
x = 5,760/16
x = 360
x = tons of coke burned = 360 tons
There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Complete question :
There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Answer:
1 /9
Step-by-step explanation:
Capacity of container = 3 gallons
Amount of gallons in container = 1/3 gallon.
Fraction of water in container:
Division equation :
Amount of gallon in container / capacity of container
1 /3 ÷ 3 = 1/ 9
Multiplication equation :
1/3 of 1 gallon
Capacity of container = 3 gallons
1/ 3 * inverse of 3
1/3 * 1/3 = 1/9
Find the surface area of each figure. Round to the hundredths place when necessary.
Answer:
SA = 997.88 mm²
Step-by-step explanation:
height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36
height = √243.36 = 15.6
SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)
SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²