Answer:
The time needs for second plane to catch up with first plane is t.
We have, 564(t + 0.5) = 744t
=> 180t = 282
=> t= 282/180 = 1.57 hour
Hope this helps!
:)
What is the area of this composite figure?
4 cm
7.5 cm
15,5 cm
18 cm
The area of a 2D form is the amount of space within its perimeter. The area of the composite figure is 249 cm².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The area of the composite figure can be written as,
Area = ABCG + DEFG = (4×10.5) + (11.5×18) = 42+207 = 249cm²
Hence, the area of the composite figure is 249 cm².
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(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b
Find the value of a and the value of b
Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
The requried simplified values of a and b are given as 4 and -30 respectively.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b
Comparing both sides,
a = 4 and b = -30
Thus, the requried simplified value of a and b are given as 4 and -30 respectively.
Learn more about simplification here:
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Zack delivers mail for the post office. Every day he walks a 7-mile route. How many miles does Zack walk in one month if he works 22 days that month?
Solve the problem. Multiply 22 and 7 and you 154 and that's your answer
154 miles
Answer: 154
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the distance that he walks every day (7 miles) by the number of days that he works in a month (22).
Mathematically speaking:
7m x 22d = 154 miles
Zack walks 154 miles in one month.
Feel free to ask for more if needed or if you did not understand something.
1. On a quiet day without many witnesses, a 4.5 ft victim is shot by a sniper that
was in a tower 780 ft away. If the angle of elevation is 48° from the victim, at
what vertical distance did the sniper shoot from?
Answer:
The sniper shoot from 870.775 feet vertical distance.
Step-by-step explanation:
Refer the attached figure
Height of victim = AB = 4.5 ft.
Distance between tower and victim BC = 780 feet
The angle of elevation =[tex]\angle DAE = 48^{\circ}[/tex]
Let DE be x
AB = CE = 4.5 feet
BC =AE = 780 feet
Height of tower = DE+CE=x+4.5
In ΔDAE
[tex]\frac{Perpendicular}{Base}=Tan\theta\\\frac{DE}{AE}=Tan 48^{\circ}\\\frac{x}{780}=1.11061\\x=1.11061 \times 780\\x=866.275[/tex]
Height of tower = DE+CE=x+4.5=866.275+4.5=870.775 feet
Hence the sniper shoot from 870.775 feet vertical distance.
A stack of 12 bricks is 27 inches high. How high is each brick?
Answer: 2.25 inches
Step-by-step explanation:
27/12= 2.25
Macy has a circular garden that has a radius of 4.5 meters. What is the circumference of her garden? Use 3.14 for pi
A. 28.26
B. 56.52
C. 63.58
D. 14.13
Answer:
A)28.26Step-by-step explanation:
4.5 * 2 = 99 * 3.14 = 28.26I hope you find this helpful.Need help please owo with all of them
Answer:
d, c and a
Step-by-step explanation:
O///O
i need to know how to do this one!!!!!!!!!!!! its to raise my grade!!!!!!!!!!
Evaluate the radical.
27−−√3
Enter your answer in the box.
Answer:
27+square root to 3 is 28.73205081
Step-by-step explanation:
Hope I helped
2x + 3 = x - 4
what is the answer
So the right answer is -7.
Look at the attached picture
Hope it will help you...
Good luck on your assignment
Answer:
2x+3 = x-4
Step-by-step explanation:
X = -7
2 x -7 + 3 = -11
-7 - 4 = -11
Therefore, X is -7 since both sides are equivalent and equal to -11
Ade has two similar scale models of the same pyramid. The first model has a
height of 5 inches and a surface area of 80.9 square inches. The linear dimensions
of the second model are each increased by a common factor so that the height of
the second model is 15 inches. To the nearest tenth of a square inch, what is the
surface area of the second model?
Please help!
Answer: 242.7 square inches
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
The first model has a height of 5 inches and a surface area of 80.9 square inches:
The proportion is : height/ surface area= 5 in / 80.9 in2
For a height of 15 inches
15 in/ x in2
So:
5/80.9 = 15/x
x= 15/ (5/80.9 )
x= 242.7 square inches
Feel free to ask for more if needed or if you did not understand something.
Help anyone? Brainliest and five stars if correct
Answer:
X=1
Step-by-step explanation:
6x+2=9x-1
-6x on both sides
2=3x-1
+1 on both sides
3=3x
/3 on both sides
1=x
Flip
X=1
Find the area of a trapezoid, base 1 measures 5 inches, base 2 measures 11 inches, height measures 7 inches
Answer:
56
Step-by-step explanation:
Please can’t Gail this
Answer:
4
Step-by-step explanation: because you up four and move 1 so the answer is 4/1 but is simplified by 4
What is the circumference
Answer:
Circumfrence is the distance around the circle. Sort of like a perimeter of a square.
Step-by-step explanation:
To solve the picture: the answer is 8 pi cm. The formula for circumference is C= 2pir, in which r is the radius. This means multiply the radius by 2 and then by pi. This is also known as C= dpi (d meaning diameter)
Please help with this
Answer:
A
Step-by-step explanation:
a line passes through the point (-9, 1) and had a slope of -2/3. Write an equation in point-slope form for this line
Answer:
y-1=-2/3(x+9)
Step-by-step explanation:
y-1=-2/3(x-(-9))
y-1=-2/3(x+9)
ASAP! PLEASE HELP. What is the measure of BCD?
Answer:
(5x)°
Step-by-step explanation:
Vertical angles.
Please mark as Brainliest! :)
Have a nice day.
Find the area and the circumference of a circle with a diameter of 17cm
Answer:
Step-by-step explanation:
d = 17 cm
r = 17/2 = 8.5 cm
Circumference of circle = πd
= 3.14 * 17
= 53.38 cm
Area of circle = πr²
= 3.14 * 8.5 * 8.5
= 226.865 cm²
6 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in customers per minute?
Answer:
3 minutes
Step-by-step explanation:
18 divided by 6 = 3 minutes
Hope this helps :)
What strategy you used to solve Problem 3.
Answer: where is it??
Step-by-step explanation:
what is the sum of -7 and its additive inverse?
Answer:
0
Step-by-step explanation:
An additive inverse is any number that adds to a certain number to make the value 0. For example, 6 has an additive inverse of -6. Therefore, -7 has an additive inverse of 7 because 7-7 (or -7+7)=0
Answer:
0
Step-by-step explanation:
Mia made 5 pies. What fraction represents all of the pies?
5/10, 5/1, 5/5, 1/5
Answer:
5/5
Step-by-step explanation:
So imagine you have 1 pie, and its fresh out of the oven so its still hole, that makes it 1/1 or ! whole, the same with 5 because the pies are still whole and not eaten its 5/5
what is the answer to 18x-5 < 3(6x-2) ?
Answer:
No solution
Step-by-step explanation:
18x - 5 < 3(6x - 2) Distribute the 3 to (6x - 2)
18x - 5 < 18x - 6
-18x -18x Subtract 18x from both sides
-5 < -6 There is no solution because -5 is not less than -6.
If this answer is correct, please make me Brainliest!
What does the word ‘Denotation’ mean?
Answer: Depends on what your talking about so I'll give all 3 definitions.
Step-by-step explanation:
1.)The literal or primary meaning of a word, in contrast to the feelings or ideas that the word suggests.
-Used in a sentence- Beyond their immediate denotation, the words have a connotative power.
2.) When used in philosophy it means, the object or concept to which a term refers, or the set of objects of which a predicate is true.
3.) And, the last definition is, the action or process of indicating or referring to something by means of a word, symbol, etc.
what is the difference between - 21 and -8 on a number line?
Answer:
They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.
Which property is illustrated by the
equation below?
7 + (-7) = 0
A. Additive Inverse Property
B. Distributive Property
C. Associative Property of Addition
D. Additive Identity Property
Answer:
additive inverse
Step-by-step explanation:
-7 is the inverse of 7 so adding it would cancel it out making it 0
7)
Which expression is a SUM?
5(2 + 3)
8 x (6 + 3)
5(2) + 2(6 - 3)
(5 + 2) = (2 + 3)
Answer:
The answer is c.) 5(2)+2(6-3)
Step-by-step explanation:
This is an addition problem, because you are solving for the multiplied numbers added together.
5(2)+ 2(6-3)
10+(12-6)
10+6
= 16 I hope this help :)
Is the following transformation rigid motion, dilation, or neither?
(x, y)→(2x, 2y)
Answer:
rigid motion
Step-by-step explanation:
because is a isometric transformation
9am not sure9
Which transformation preserves only angle measurement? A)dilation B)rotation C)reflection D)translation
Answer:
A)dilation
Step-by-step explanation:
The transformation preserves only angle measurement is dilation. The transformation helps in taking up the production of an image that is of the same shape as the main original image.
Ans
A dilation
........,....
Which linear function has the same y-intercept as the one that is represented by the graph?
The function shown is y=-2x+10
If we want the same y-intercept all we need to fo is change the slope.
For example, these are valid asnwers,
y=-3x+10
y=0.5x+10
y=10x+10
Answer:
y = 2x+10
Step-by-step explanation:
