Answer:
length of rectangle NEHI = NI = (38 – 8) = 30 feet
width of rectangle NEHI = NE = 5 feet
area of rectangle NEHI = length × width
= 30 × 5
= 150 square feet
Step-by-step explanation:
Write the quadratic equation whose roots are - 5 and -4, and whose leading coefficient is 3.
Answer:
The quadratic equation is
3x^2+ 27x + 60
Step-by-step explanation:
Here, we have the roots -5 and -4 and the leading coefficient of 3
Mathematically, we simply have this done to the roots;
x = -5 implies x+ 5
x = -4 implies x + 4
The product of this two will be;
(x + 5)(x + 4)
= x^2 + 5x + 4x + 20
= x^2 + 9x + 20
we add the leading coefficient
that would be;
3(x^2 + 9x + 20)
= 3x^2 + 27x + 60
write the number three million seven hundred thousand
In ΔKLM, l = 660 cm, ∠L=107° and ∠M=18°. Find the length of k, to the nearest 10th of a centimeter.
Answer:
565.3 cm
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
In triangle KLM:
∠K + ∠L + ∠M = 180° (sum of angles in a triangle)
∠K + 107 + 18 = 180
∠K + 125 = 180
∠K = 55°
We can find the length of k using sine rule:
[tex]\frac{l}{sinL}=\frac{k}{sinK} \\\\substituting:\\\\\frac{660}{sin(107)}=\frac{k}{sin(55)} \\\\k=\frac{660}{sin(107)}*sin(55)\\\\k=565.3\ cm\\[/tex]
a sequence is given by the rule 4n -5.
what is the tenth term in the sequence?
Answer: 35
because the sequence is given by the rule 4n -5 => a(n) = 4n - 5
the tenth term in the sequence is a(10) = 4.10 - 5 = 35
Step-by-step explanation:
A rectangle is 12 inches long and 2 inches wide. Find its area. A 22 square inches 14 square inches 24 square inches 26 square inches
Area of given rectangle = 24 square inches.
The correct option is C.
What is rectangle?A rectangle is cyclic: all corners lie on a single circle. ; It is equiangular: all its corner angles are equal (each of 90 degrees).
Given,
Length of rectangle = 12 inches
Width of rectangle = 2 inches
Area of rectangle = length × width
= 12 × 2
Area of rectangle = 24 square inches.
Hence, 24 square inches is the area of rectangle.
Learn more about rectangle here:
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What is the value of tan(60°)?
A
12
30°
B
60°
14
Answer:
the answer is 1.7320508076
What are some negative numbers and some positive numbers
Answer:
negative:-7, -8, -9
positive: 8,4,6
Step-by-step explanation:
Answer:
5 and -5
Step-by-step explanation:
you could use a number line and make it go two ways from 0, any number to the left is negative, any numbers right are positive.
Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. Which quadratic function represents the combined area A of the picture and the frame?
A. A(x) = x^2 + 20x + 96
B. A(x) = x^2 + 40x + 96
C. A(x) = 4x^2 + 20x + 96
D. A(x) = 4x^2 + 40x + 96
Answer:
D: A(x) = 4x² + 40x + 96
Step-by-step explanation:
Dimensions of photo is;
Length; L = 12 inches
Width; W = 8 inches
Now, this picture is surrounded by a frame that is "x" inches wide. Thus, new dimensions are;
L_new = 12 + x + x = 2x + 12
W_new = 8 + x + x = 2x + 8
New area is;
A_new = (2x + 12) × (2x + 8)
A_new = 4x² + 24x + 16x + 96
A_new = 4x² + 40x + 96
Judy baked a pizza for lunch.The size of the pizza was 14 inches in the diameter. Find the area of the pizza.
If h(a)= 3a+5 and h (a) = 27 the what is the value of a?
Hey there!
Okay, so when you get a problem like this, all you need to do in insert the given value into the function and solve.
For example:
As you can see, they state that (a) = 27, so you insert 27 in for a in the function and it will look like this:
h(27) = 3(27) + 5
Now you solve on the right side of the equal sign:
3(27) = 81 (you multiply them)
81 + 5 = 86
When you plug the value of 27 in for a in this function, your output is equal to 86.
Answer: 22/3 or 7,(3)
Solution:
h(a)=3a+5
h(a)=27
3a+5=27
3a=27-5
3a=22
a=22/3
a=7,(3)
If triangles ADE and ABC shown in the figure below are similar, what is the value of X?
A) 4
B) 5
C) 6
D) 10
Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5
Step-by-step explanation:
and 0.5 x 12 is 6
The measure of the side length of the triangle is 6. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
If triangles ADE and ABC shown in the figure below are similar.
From the figure, we have
x / 12 = 2 / 4
x = 6
Then the correct option is C.
The complete question is attached below.
More about the triangle link is given below.
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Brianliest for correct answer
Answer: i Think it would be 80
Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though
PLEASE HELP!! I NEED THE ANSWER REALLY SOON!
Answer/ explaination
the answer is 108, not 180 because 9 goes into 7, 0 times but he put 8
After 1 day, 300 copies of a book are sold. Each of the following days, 20 more copies are sold. Use an equation in point-slope form to model the sales of the book and determine how many copies will be sold after 15 days. copies
Answer:
the answer is 600!
Step-by-step explanation:
the formula would be... 300+20x when x=the amount of days, have a great day I hole this helped!
Answer:
300+20x, 600 total copies created.
Step-by-step explanation:
x= number of days.
20 papers per day.
20(15) is 300.
300+300=600
s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s
Basketball Arcade Game
You're buying the basketball arcade game for $4,500.00 with 5% tax. How much
will you pay all together? *
Answer:
$4,725
Step-by-step explanation:
multiply 4,500x0.07=225 add that to 4,500
22/44 in simplest form?
Answer:
22/44, divide both sides by 22, then you would got 1/2
1/2. This is because 22 is half of 44, so we can simplify it into 1/2.
4a) Why are the two triangles congruent? *
H
M
K
J
L
Answer:
SAS Congruency (see below)
Step-by-step explanation:
First, prove the two triangles congruent:
You should know that ∠HKL ≅ ∠MKL because of Vertical Angles Congruence Theorem because they're vertical angles.
If it's already given that HK ≅ MK and JK ≅ LK, then you can clearly see that you can use the SAS Postulate to prove ΔHKL ≅ ΔMKL.
For a flow chart proof for this, refer to the image:
1 1 point
Answer each of the following. Write your final answers in the blanks provided.
A building is 50 ft. high. At a distance away from the building, an architect observes that the angle of elevation to the top of the building is
28° How far is the observer from the base of the building? Round to the nearest foot.
Answer:
58
Step-by-step explanation:
57.5 round up. 58
write an improper fraction 3 4/5
Answer:
19/5
Step-by-step explanation:
hope it helps
Answer:
19/5 = 3 4/5
Step-by-step explanation:
hope this helps
Definition of equilateral triangle
Answer:
An equilateral triangle has all its 3 angles the same.
Hope this helped. :)
Equilateral triangle:
An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.
Additionally, an equilateral triangle has three equal angles of 60 degrees.
Equilateral Triangle Perimeter:
In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.
In the event that ABC is an equilateral triangle, then its perimeter is;
Perimeter = AB + BC + AC
P = a + a + a
P = 3a [where "a" is the triangle's side length.]
To read more about "Equilateral Triangle" here:
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PLEASE HELP ASAP!!! i’ll mark brainlessly
1.5 km per hour
ngl i could be wrong :/
1) Determine the length of "x" in the following triangle and mention if you're solving
for a leg or a hypotenuse.. (5 pts.)
55
Answer:
X=48
Step-by-step explanation:
x^2+y^2=z^2
but in this case it's z^2-y^2=x^2
so 73^2= 5329
and 55^2=3025
5329-3025=2304
Square Root of 2304 is 48, meaning X=48
Hope this helps!
Hi. I need help with these questions (see image)
Please show workings.
Answer:
A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]
B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]
c: 2x
Step-by-step explanation:
To find the derivative of x raised to the nth power we use the following template
[tex]x^{n}=nx^{n-1}[/tex]
Something else to keep in mind is that
[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]
So knowing this we can rewrite a as follows
[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]
so we can use the template above and get
[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]
So that simplifies to
[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]
[tex]\frac{(x-1)^{-.5}}{2}[/tex]
[tex]\frac{1}{2\sqrt{x-1} }[/tex]
B: Same kind of deal here
[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]
[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]
[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]
C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get
2x
1. SOCCER Suppose a youth soccer field has a
perimeter of 320 yards and its length measures 40
yards more than its width. Ms. Hughey asks her
players to determine the length and width of their
field. She gives them the following system of
equations to represent the situation. Use elimination to
solve the system to find the length and width of the
field.
2L + 2W=320
L - W = 40
Answer:
L = 100
W = 60
Step-by-step explanation:
2L + 2W = 320
-2L + 2W = -80
4W = 240
W = 60
L - W = 40
L - 60 = 40
L = 100
Can someone help me with this please
Answer: The system of equations is
40x + 55y = 920
40x + 65y = 1000
x is the cost of the adult ticket; y is the cost of the child ticket
Step-by-step explanation:
If you have to solve this, elimination is a good method.
Subtract the top equation from the second equation.
40x + 65y = 1000
-40x + 55y = 920 x cancels Solve for y
0 + 10y = 80 Divide both sides by 10
y = 8 . Substitute 8 for y in either equation and solve for x
40x + 65(8) = 1000
40x + 520 = 1000 Subtract 520 from both sides
40x = 1000 - 520
40x = 480 Divide both sides by 40
x = 12
PLEASE ANSWER ASAP !!!!!
Answer:
11
Step-by-step explanation:
well you have to multiply and divide
Answer:
-4
Step-by-step explanation:
A line passes through the points (0, 14) and (18, 15) . What is its equation in slope-intercept form?
Answer:
y= 1/18x + 14
Step-by-step explanation:
Well we can first right the equation like : to find the slope
14- 15
____ = -1/-18 = 1/18
0-18
Now we know the slope is 1/18
we can substitute one point in the equation and the slope to find the equation
let's take 0,14
14= 1/18 ( 0 ) + b
14=b
so b= 14
the y-intercept is 14
the equation is
y= 1/18x + 14
The factors of m^2 - 256 are
(m+4)^2
(m-4}^2
(m+4) (m-4)
none of these
[tex] {m}^{2} - 256 = ( x - 16)(x + 16)[/tex]
Therefore, none of these.
Please help me with this equation, you are supposed to find x
Answer:
I believe its 2/3
Step-by-step explanation:
