the area of the yellow figure is 45 square units.
How to find the area of the figure shaded in yellow?The figure shaded in yellow can be decomposed in two simpler ones, a triangle of base of 4 units and height of 5 units, and a rectangle of 5 units by 7 units.
The area of the triangle is:
A = 4*5/2 = 10 square units
The area of the rectangle is:
A' = 5*7 = 35 square units.
Adding that we get:
A + A' = 10 square units + 35 square units = 45 square units.
Then the area of the yellow figure is 45 square units.
Learn more about areas:
https://brainly.com/question/24487155
#SPJ1
Gasoline prices are given to the nearest thousandth of a dollar. If a gallon of gasoline costs $3.499 and increases $0.09, what is the price of gasoline after the increase?
(to the nearest thousandth of a dollar)
What is the value of |5-a| if a = 9?
Answer: 4
Step-by-step explanation: once you sub in 9 for a, you'll get -4. However, the absolute value of -4 is 4.
George is driving his car. At the end of 2 hours he has driven 94 miles, and at the end of 4 hours he has driven 238 miles. What is the average rate of change? Type your numerical answer below.
47 miles
Step-by-step explanation:
since 2 hours is 94 miles and 4 hours is 238 miles, you can take the 94 and divide by 2 to get how many miles for 1 hour.
The average rate of change will be;
⇒ 72 miles per hour
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
George is driving his car. At the end of 2 hours he has driven 94 miles, and at the end of 4 hours he has driven 238 miles.
Now,
Since, We know that;
⇒ Speed = Distance / Time
Hence, We can formulate;
⇒ The average rate of change = (238 - 94) / (4 - 2)
= 144 / 2
= 72
Thus, The average rate of change will be;
⇒ 72 miles per hour
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ2
Kari's paper cup holds 6 fluid ounces. If one ounce is equivalent to 29.6 milliliters, how many milliliters does her paper cup hold?
Answer:
Equivalent measurements: teaspoon, ounce, pint, pound
You will find a table of equivalent measurements in the back of many cookbooks:
1 tablespoon = 3 teaspoons
1 cup = 16 tablespoon = 8 ounces
1/4 cup = 4 tablespoons
1/3 cup = 5 tablespoons plus 1 teaspoon
1 pint = 2 cups = 16 ounces
1 quart = 4 cups (2 pints) = 32 ounces
1 gallon = 4 quarts
1 pound = 16 ounces
1/2 pound = 8 ounces
1/4 pound = 4 ounces
Note that a pint is 16 ounces of volume, while a pound is 16 ounces of weight. The popular rhyme "A pint's a pound, the world around" can help you remember this, but keep in mind that they're not really equivalent.
Doubling a recipe can be easy (just put in two of each measurement), but what if you need to divide a recipe in half? Here are some measurements that may help:
Measurement 1/2 Measurement
1/8 teaspoon just a dash
1 tablespoon 1 1/2 teaspoons
1/4 cup 2 tablespoons
1/3 cup 2 tablespoons + 2 teaspoons
3/4 cup 6 tablespoons
Step-by-step explanation:
which is the slowest rate? a. 2,983 km in 5 hr
b. 5,193 km in 7 hr
c. 3,094 km in 12 hr
d. 1,784 km in 3 hr
Answer:
C. 3,094 km in 12 hr
Step-by-step explanation:
we need to find kilometer per 1 hour so
2983/5=596.6 kilometers per hour
5,193/7= 741.857142857 km per hour
3,094/12=257.833333333 km per hour
1,784/3=594.666666667 km per hour
now which number is lowest
third one
Have a wonderful day! ask me if you have more questions
multiples of 5 less than 40
Answer: 5, 10, 15, 20, 25, 30, & 35
Answer:
35,30,25,20,15,
Step-by-step explanation:
BRAAINLIEST PLS
Find volumeof right circular cone having base radius 14cm and slant height 14.8cm.
Answer:
The cone has a volume of approximately 982.5 cubic centimetres.
* That answer sounds off to me, but I'm not sure. You might want to run through the logic yourself and see if you get the same results.
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and base radius. In other words:
[tex]v = \pi r^{2} \frac{h}{3}[/tex]
But before using that, we need to know the value of h, height. What we are instead given is the slant height, or the length from tip to edge.
We can use that slant height along with the base radius to get the cone height, as the three of them are the edges of a right triangle, with slant height being the hypotenuse.
To get the height then we can say
[tex]h = \sqrt{s^{2} - r^{2}}[/tex]
Where h is height, s is slant, and r is radius.
[tex]h = \sqrt{14.8^{2} - 14^{2} }[/tex]
[tex]h = \sqrt{219.04 - 196}[/tex]
[tex]h = \sqrt{23.04}[/tex]
[tex]h = 4.8[/tex]
A very squat cone indeed.
Now we can plug that and the radius into the actual cone equation:
[tex]v = \pi (14cm)^{2} \frac{4.8cm}{3}\\= \pi 196cm^2 * 1.6cm\\\approx 985.2 cm^3[/tex]
Please help if possible due in 20 minutes ❤️❤️❤️❤️ thank you so much
Answer:
A
Step-by-step explanation:
The town A is symmetric the town B i skrewed positevly
I hope I helped and have a a great dayyyy
Answer:
(D)
Step-by-step explanation:
The answer is (D).
What does x equal?
-3(x - 2) + x = -2x - 6
Answer:
No solutions
Step-by-step explanation:
-3(x - 2) + x = -2x - 6
Distribute the left side
-3x + 6 + x = -2x - 6
Combine like terms
-2x + 6 = -2x - 6
Add 2x to both sides
6 = -6
There are no solutions to this problem
HELPPPPPPP ITS VERY URGENT!!!!!!
Answer:
The measure of the 2 angles are 90° and 35°.
Step-by-step explanation:
The sum of angles in a triangle is 180°.
2x + x - 10 + 55 = 180
Simplify.
3x + 45 = 180
Find 3x.
3x = 180 - 45
= 135
Find x.
x = 135 ÷ 3
x = 45
2x° = 45° × 2
= 90°
(x-10)° = 45° - 10°
= 35°
Answer: x=45
Step-by-step explanation:
2 times 45 is equal to 90
45-10 is equal to 35
55+90+35=180
The number of students in a classroom went from 20 to 29 find the percent of the Change
Answer:
45%
Step-by-step explanation:
calculator
Which is more, 49 ounces or 3 pounds?
Answer:
The answer is 49
Step-by-step explanation:
Because 48 oz is 3 pounds but their one more there for.
6(10+z+3)=? HELP IT IS DUE TODAY AND I AM ALMOST DONE!!!!
Answer: 6 (z+13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
10-z=6
We move all terms to the left:
10-z-(6)=0
We add all the numbers together, and all the variables
-1z+4=0
We move all terms containing z to the left, all other terms to the right
-z=-4
z=-4/-1
z=+4
I need help on 22 pls
Answer:
a) 1.24 g/ml
b) 2.4%
Step-by-step explanation:
density = mass/volume
volume of sample = 28.4 - 15 = 13.4mL
density = 13.4/10.8
=1.24 g/ml
percent error
1.27 - 1.24 = 0.03
0.03/1.24 *100% = 2.4% error
What is the image point of (1, 2) after a translation right 5 units and up 3 units?
Therefore the image point of (1, 2) is (6, 5)
Given point is (1, 2) considered as (x, y)
We know that in the coordinate axis horizontal line represents the x-axis and the vertical line represents the y-axis.
In that, a point that moves right means it goes positive x-axis.
If the point moves left means it goes negative x-axis.
If the point moves up means it goes positive y-axis.
If the point moves down means it goes negative y-axis.
By using the above points we can solve this question as
Given we need to find the image point of (1, 2) after a translation right 5 units and up 3 units.
Now the point on the x-axis changes to 5 units right as
= x + 5
= 1 + 5
= 6
Now the point on the y-axis changes to 3 units up as
= y + 3
= 2 + 3
= 5
Therefore the image point of (1, 2) is (6, 5).
To learn more about the image of points refer below
https://brainly.com/question/16775321
#SPJ9
Please help
Simplify the expression by combining like terms
Answer:
[tex] \sf \: {7a}^{2} + 6a + 4 [/tex]
Step-by-step explanation:
Given expression,
→ 1 + 5a + 7a² + a + 3
Let's simplify the expression,
→ 1 + 5a + 7a² + a + 3
→ (7a²) + (5a + a) + (1 + 3)
→ (7a²) + (6a) + (4)
→ 7a² + 6a + 4
Hence, answer is 7a² + 6a + 4.
please help. Which number(s) below belong to the solution set of the inequality? Check all that apply. 9x > 117
the arrow like symbol has a line under it
A. 14
B. 8
C. 12
D. 13
E. 19
F. 6
Answer:
A, d and e
Step-by-step explanation:
So take the numbers a multiply them by nine. if they are more than 117, then they are correct, but with D 9x13 is equal to 117 so it is part of the solution set.
all you need is in the photo
Answer:
You could just ask a tutor to help you with it on Brainly.com
Step-by-step explanation:
Put in order from least to greatest: (I WILL GIVE BRAINLIEST)
-15.2, -15.9, 3.6, -3.6
-15.9, -15.2, -3.6, 3.6
2.03, -2.3, -2.03, 3.0
write x≤58 in interval notation.
The x ≤ 58 in interval notation = (-∞, 58]
In this question, we have been given an inequality x ≤ 58
We need to write given inequality in interval notation form.
We know that, an interval notation a way to describe a subset of real numbers by the numbers that bound them.
If we draw given inequality on the number line, then it would be as shown below.
x ≤ 58 represents that, x takes all values which are less than or equal to 58.
So, the interval notation would be (-∞, 58]
Therefore, the x ≤ 58 in interval notation = (-∞, 58]
Learn more about the interval notation here:
https://brainly.com/question/16768997
#SPJ1
A straight line is drawn and divided into two angles. One angle is 75°. What is the measurement of the unknown angle?
Answer:
105
Step-by-step explanation:
straight line would be 180 degrees
subtract 180-75=105 ^_^
Line see crosses through both A and B creating angles d through k. If m
Answer:
they are parallel lines with a crossing line creating a 90 degree angle
The line A and line B are parallel to each other and line C is perpendicular to both line A nd B.
What is converse of consecutive interior angle theorem ?
As a result of the converse of consecutive interior angle theorem, two parallel lines are formed whenever a transversal intersects two lines so that two consecutive interior angles are supplementary.
Any pair of angles that lie on opposite sides of two lines cut by a transversal on the same side is known as corresponding angle.
Here, the angle ∠d and angle ∠h are corresponding angles and there measurement is 90 degrees which implies that the line A and line B parallel to each other and line C is perpendicular to both line A nd B.
check and know more about angles here :
https://brainly.com/question/7116550
#SPJ5
What is the direction of the vector = ?
Answer:
The most general convention is that the orientation of a vector is the angle of rotation in the counterclockwise direction of the vector with respect to the East.
Step-by-step explanation:
Answer:
its a smg
Step-by-step explanation:
its a man made tool
Select all the groups of numbers that are ordered correctly from least to greatest.
A, 2,−4,6,−8
B, −13,−16,12,1
C,−110,0.2,310,14
D,−112,−0.75,−0.25,112
E,−8,−34,−3,14
Answer:
C
Step-by-step explanation:
Solve the equation. Enter your answer in the box. 42 = y + 15
Answer:
y=27
Step-by-step explanation:
Simplifying
42 = y + 15
Reorder the terms:
42 = 15 + y
Solving
42 = 15 + y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-1y' to each side of the equation.
42 + -1y = 15 + y + -1y
Combine like terms: y + -1y = 0
42 + -1y = 15 + 0
42 + -1y = 15
Add '-42' to each side of the equation.
42 + -42 + -1y = 15 + -42
Combine like terms: 42 + -42 = 0
0 + -1y = 15 + -42
-1y = 15 + -42
Combine like terms: 15 + -42 = -27
-1y = -27
Divide each side by '-1'.
y = 27
Simplifying
y = 27
Answer:
27
Step-by-step explanation:
The height of a painting is 65ft. between which two consecutive whole numbers is 65?
The height of painting lies between 8 and 9 feet.
The square numbers before and after 65 are 64 and 81 respectively. Further, 64 is the square of 8 and 81 is the square 9. This indicates that √65 will lie between the whole numbers 8 and 9. The whole numbers are defined as the numbers who are an integer and do not have fractions.
Since 65 is close to square number 64 rather than square number 81, the square root of 65 should also be close to the whole number 8.
Thus, it is evident that height of the walls lie between two consecutive whole numbers 8 and 9.
Learn more about whole numbers -
https://brainly.com/question/732819
https://brainly.com/question/9879870
#SPJ4
The complete question is -
The height of a painting is √65. Between which two consecutive whole numbers is √65?
9. The Strawberry Festival is finally here! Mrs.
Sullivan bought two gourmet pretzels and four
boxes of strawberries for a total cost of $43. Mr.
Hawke bought two gourmet pretzels and two
boxes of strawberries for $30
a. Write the system to represent the situation.
b. Solve the system (using the method of your
choice) to find how much a box of strawberries
cost.
[tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex]Answer:
Step-by-step explanation:
a)
x= gourmet pretzels
y= boxes of strawberries
system will be:
[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex]
b)
[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex] [tex]\left \{ {{x=21.5-2y \atop {2x+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {43-4y+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {-4y+2y=30-43}} \right.[/tex][tex]\left \{ {{- \atop {-2y=-13}} \right.[/tex][tex]\left \{ {{- \atop {y=\frac{13}{2} }} \right.[/tex][tex]\left \{ {x=21.5-2(6.5)}} \atop {y=6.5}} \right.[/tex][tex]\left \{ {{x=8.5} \atop {y=6.5}} \right.[/tex]
a box of strawberries is 6.5
Find the value of the variables
Answer:
x=2
y=7
Step-by-step explanation:
Since we know that the object is a rectangle, we know that the opposite sides are equal to each other. Thus:
9 = y+2
and
2y = 7x
Using algebra we can solve the first equation:
9 = y+2
9-2 = y
7 = y
Now we can use substitution:
2y = 7x
2(7)=7x
14=7x
x=2
Emma goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Emma pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Emma golfs?
Answer:
The equation that can be used to determine the number of rounds that Emma golfs is:
x=(c-7.50)/6.25
Step-by-step explanation:
From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:
c=7.50+6.25x, where:
c is the total cost for Emma to go miniature golfing
x is the number of rounds
Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:
x=(c-7.50)/6.25
You can replace c with 26.25:
x=(26.25-7.50)/6.25
x=18.75/6.25
x=3
Find the value of f(8)
Answer:
y= -4
Step-by-step explanation: