The area as a function of the height H is:
[tex]A= 9cm*H[/tex]
Which equation models the area of the metal plate?
We know that for a triangle of base B and height H, the area is given by:
[tex]A = \frac{B*H}{2}[/tex]
In this case, we already know that the base measures 18cm, then the formula for the area as a function of the height H is:
[tex]A= \frac{18cm*H}{2} = 9cm*H[/tex]
If you want to learn more about triangles:
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Find the value of x.
Answer:
x=7
Step-by-step explanation:
Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.
14x+7+10x+5=180
First, add like terms
24x+12=180
Then, subtract 12 from both sides
24x=168
Next, divide both sides by 24
x=7
What is the value of x in the equation 6x + 3 + 4x =
(9 + 10x)?
Enter your answer in the box.
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Answer:
x = 3/10
Step-by-step explanation:
Given
6x +3 +4x = 1/2(9 +10x)
We can collect term, then multiply by 2.
10x + 3 = (1/2)(9 +10x)
20x + 6 = 10x + 9 . . . . . . . multiply by 2
10x = 3 . . . . . . . . . . . . . . . . subtract (6+10x)
x = 3/10 . . . . . . . . . . . . . . . divide by 10
_____
Check
6(3/10) +3 +4(3/10) = (1/2)(9 + 10(3/10))
1.8 + 3 + 1.2 = 1/2(9 +3)
6 = 6 . . . . . solution checks OK
When is the graph of f (x) = 2x2 – 5x – 3 negative?
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Answer:
-1/2 < x < 3
Step-by-step explanation:
First you need to find the x-intercepts. Since the leading coefficient is positive, you know the graph is decreasing through the left x-intercept, so will be negative between the x-intercept values.
f(x) = 2x^2 -5x -3
f(x) = 2x^2 -6x +x -3
f(x) = 2x(x -3) +1(x -3)
f(x) = (2x +1)(x -3)
The x-intercepts are the values of x that make these factors zero:
2x +1 = 0 ⇒ x = -1/2
x -3 = 0 ⇒ x = 3
The graph of f(x) is negative on the interval ...
-1/2 < x < 3
What is the solution to the equation sqrt 2x+3 minus sqrt x+2=2? x =
Answer:
x= 1/4 or 0.25
Answer:
23
Step-by-step explanation:
on edg
Solve: -2x - 5 = -3
plz help me hurry
Answer:
x=-1
Step-by-step explanation:
-2x - 5 = -3
add 5 to both sides
-2x = 2
divide both sides by -2
x = -1
Answer:
x = -1
Step-by-step explanation:
-2x - 5 = -3
Same to both sides:
-2x = -3 + 5
Simplify:
-2x = 2
Divide by -2 on each side to isolate x:
x = -1
Let me know if you have any questions
What is the missing angle
120°
70°
Answer:
the measure of angle B is 50
Step-by-step explanation:
the measure on the other side of the 120 is 60
hope this helps!!
Find the area of parallelogram with base b and height h
b=82.cm
h=16.6cm
area= b*h
82.* 16.6
area= 1361.2 since i dont know the number after the decimal in 82. that was the only answer i could give
Which of the following is a situation in which an equation cannot be solved
using the quadratic formula?
A. The coefficient of the x-term is zero.
B. One term of the polynomial has a degree of 3.
C. The right-hand side of the equation is zero.
D. The coefficient of the XP-term is 1.
Answer:
B One term of the polynomial has a degree of 3
in the pond were 240 little fish and 90 big fish. what was the ratio of big fish to little fish
Answer:
266.66666667%
Step-by-step explanation:
240 / 90 = 266.666666666667%
In the figure above, PQRS is a circle. If PQT and SRT
are straight lines, find the value of x.
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
[tex]m\angle SPQ+m\angle QRS=180^\circ[/tex]
[tex]81^\circ+m\angle QRS=180^\circ[/tex]
[tex]m\angle QRS=180^\circ-81^\circ[/tex]
[tex]m\angle QRS=99^\circ[/tex]
Now, SRT is a straight line.
[tex]m\angle QRT+m\angle QRS=180^\circ[/tex] (Linear pair)
[tex]m\angle QRT+99^\circ=180^\circ[/tex]
[tex]m\angle QRT=180^\circ-99^\circ[/tex]
[tex]m\angle QRT=81^\circ[/tex] ...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
[tex]m\angle PQR=m\angle QRT+m\angle QTR[/tex]
[tex]x=81^\circ+22^\circ[/tex]
[tex]x=103^\circ[/tex]
Therefore, the value of x is 103 degrees.
1. Add the same number to both the numerator and the denominator of
the fraction 7/17, to change it to 3/5.
Answer:
8
Step-by-step explanation:
Let x be the number added to both numerator and denominator.
Initial fraction=7/17
After adding x to both the numerator and the denominator
Then ,we get fraction=3/5
We have to find the value of x.
According to question
[tex]\frac{7+x}{17+x}=\frac{3}{5}[/tex]
[tex]5(7+x)=3(17+x)[/tex]
[tex]35+5x=51+3x[/tex]
[tex]5x-3x=51-35[/tex]
[tex]2x=16[/tex]
[tex]x=\frac{16}{2}=8[/tex]
I need help with B. Do you I think this will mean the end of life on earth?
Please answer ASAP
Answer:
yes
Step-by-step explanation:
select the correct choice and fill in the box to complete your choice. pls help!!!
Omg please help it is due in 21 minutes please help me!!!!!
Answer:
Atleast 63
Step-by-step explanation:
Hope that helps!
25 over 50 as a reduced fraction
Answer:
1/2
Step-by-step explanation:
i think that is right
i hope so
have a good day hope that is correct
Answer:
1/2
Step-by-step explanation:
25 is half of 50
PLEASE HELP,, A home decorator is adding new flooring to a living room using the blueprint shown.
image
What are the actual length and width of the living room? Show your work.
A.
7ft, 6ft
B.
14 ft, 10ft
C.
10ft, 8ft
D.
20ft, 16ft
Answer: 20ft, 16ft
Step-by-step explanation:
Because 0.5in=2ft, you would divide the length (5in) and the width (4) both by 0.5. Which give you 10 for the length and 8 for the width. Then you multiply both of those products by 2 and that gives you your answer. 20ft and 16ft. Hope this helps. :)
What kind of clues do fossils tell about animals that lived long ago?
Answer:
if they start to brown
Step-by-step explanation: They are white if they are new brown if old
Answer:
By studying fossils, we can tell how long life has existed on Earth, and how different plants and animals are related to each other. We can work out how and where they lived, and use this information to find out about ancient environments.
Step-by-step explanation:
A particular country has 60 total states. If the areas of all 60 states are added and the sum is divided by 60, the result is 187,626 square kilometers. Determine whether this result is a statistic or a parameter.
ABC is similar to XYZ. The length of AB is 3 inches. The length of BC is 5 inches. The length of YZ is 13 inches. What is the length, in inches of XY
Answer:
7.8
Step-by-step explanation:
Find a possible solution to the equation cos(x+2) = sin(3x)
A. x=0.5
B. x=1
C. x=22
D. x=44
Answer: C. x=22
Step-by-step explanation:
cos(22+2)= 0.913545457
sin(3*22)= 0.913545457
So, cos(x+2)=sin(3x)
What is the radius of a circle with a circumference of 81.64 feet.
Answer:
Step-by-step explanation:
Your answer
Circumference = 2 * π* r = 81.64
r = 12.99 → 13
Mark it as Brainlist answer. Follow me.
x2 + 3x + 2 by x + 1
Answer:
x²+3x+3
Step-by-step explanation:
hope it helps you
please mark me as brainlist
Sara was cliff jumping. She was on a cliff 25 feet above sea level. She jumped into the sea and descended a total of 37 feet. How many feet below sea level did she travel? Justify your reasoning.
Answer:
12 feets below sea level
Step-by-step explanation:
Initial height = 25 feets above sea levwl
Total descent = 37 feets
Distance traveled below sea level = 37 feets - 25 feets = 12 feets
Hence, Sarah traveled 12 feets below sea level
Please Help!!!!!! Use what you've learned today about the sum of the interior angles of triangles and quadrilaterals to determine the measure of ALL unknown angles in the figure below.
Answer:
m = 116
x = 24
y = 76
z = 40
Step-by-step explanation:
For startes the interior angles of triangles always add up to 180 degrees.
That means....
73 + 83 + x = 180
z + m + x = 180
z + y + 64 = 180
Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.
So m + 64 = 180
Let's start with 73 + 83 + x = 180
If you add 73 and 83 you get 156
x + 156 = 180 then subtract 156 from both sides and
x = 24
Then use m + 64 = 180 subtract 64 from both sides and
m = 116
z + m + x = 180 become
z + 116 + 24 = 180
Add 116 and 24 and you get 140
z + 140 = 180 subtract 140 from both sides and
z = 40
Check to make sure m + x + z = 180
24 + 40 + 116 = 180
z + y + 64 = 180 becomes
y + 40 + 64 = 180
40 + 64 = 104 so
y + 104 = 180 subtract 104 from both sides and
y = 76
Congratulations you have found all of the angles!
Find the scale factor of the small triangle to the large triangle.
Answer:
scale factor is: 2.25
Step-by-step explanation:
Susan Carver will purchase a home for $190000. She will use a down payment of 18% and finance the remaining portion at 4.2%, compounded monthly for 30 years
Answer:
$548053.69
Step-by-step explanation:
Cost of home = $190000
Down payment = 18%
Loan amount = (1 - 0.18) * 190000 = $155800
Rate, r = 4.2% = 0.042 ; compounded monthly for 30 years
Using the relation :
A = P(1 + r/n)^nt
n = number of compounding times per period = 12
A = 155800(1 + 0.042/12)^(12 * 30)
A = 155800(1.0035)^360
A = 155800 * 3.5176745
A = 548053.69
Final loan amount = $548053.69
1. In Mr. B's classroom, there are 20 students.
Twelve students got a B, one student got a C, and
the rest received an A. What percent of the class
received an'A?
Help please
Answer:
1.5%
Step-by-step explanation:
how many odd integers are between -20 and 10?
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Answer:
15
Step-by-step explanation:
The given range of numbers is -20 to 10, so is 10-(-20)+1 = 31 numbers. Since the end points of the range are both even, there is one more even number than there are odd numbers in the range. The number of odd numbers is ...
(31 -1)/2 = 15
There are 15 odd numbers between -20 and 10.
me Digão qual e a resposta
Answer:
As somas estão abaixo
Step-by-step explanation:
a) 158
b) 2095
c) 2819
d) 9082
Eu espero que isso ajude :)
What is the difference between the profits Mr. Brown's store earned in the first quarter and the third quarter?
Answer:
Hi we need a picture or a chart.
Step-by-step explanation:
Answer:
2,411.44
Step-by-step explanation: