Answer:
78 x 160 /100
= 124.8
12 x 325/100
= 39
Step-by-step explanation:
The areas of the squares adjacent to two sides of a right triangle are shown below.
What is the area of the square adjacent to the third side of the triangle?
Answer:
[tex]85\:\mathrm{units^2}[/tex]
Step-by-step explanation:
All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.
All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.
Therefore, let [tex]h[/tex] be the side length of this largest square. Since the area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex], [tex]h^2[/tex] will represent the area of the square:
[tex]\sqrt{35}^2+\sqrt{50}^2=h^2=\boxed{85\:\mathrm{units^2}}[/tex]
Answer:
85
Step-by-step explanation:
We can use the Pythagorean theorem (a^2+b^2=c^2) to find the area of square adjacent to the third side.
Area of a square=side^2
So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2, and c^2 in the Pythagorean theorem.
For example, in the diagram above, the area of the square that shares a side with side length a is 35 square units. So, a^2=35.
Let's fill in the remaining values:
a^2 + b^2 = x^2
35+50-x^2
85=x^2
The area of the square adjacent to the third side of the triangle is 85 units^2.
find the x-intercept of the function y=4x+6
Answer:
The x-intercept = -3/2
Step-by-step explanation:
Set y = 0 to find the x-intercepts;
=> y = 4x + 6
=> 0 = 4x + 6
=> 0 - 6 = 4x
=> -6 = 4x
=> -6/4 = x
=> -3/2 = x
Therefore the x-intercept = -3/2
Hope this helps!
7.) There are about 9,987,000 people that live in Michigan. How do you write
9,987,000 in scientific notations?
a.) 99.87 x 105
b.)9.987 X 105
c.) 9.987 x 107
d.) 9.987 X 106
Solve using the quadratic formula and show work: 2x^2+5x+4=0
Answer:
No solution
Step-by-step explanation:
x = -5 +- √5^2 -4 x 2 x 4/ 2 x 2
x = -5 +- √-7/4
d = -7
The square root can't be a negative number so it is no solution.
Peters mom gave him a $10 bill he purchased a magazine for $4.50 and the tax was 6% how much change did peter get
Answer:
$5.50
Step-by-step explanation:
10 - 4.50 = 5.50
Find the 7th term in the
sequence
,
32
1, 3, 9,...
Hint: Write a formula to help you.
1st term • Common Ratio desired term – 1)
Enter
Answer:
243
Step-by-step explanation:
formula is
Un = ar^n-1
U7 = ar^7-1
U7 =ar^6
U7 =1/3 ×3^6
where a=1/3 and r= 3
U=243
ABDE is a rectangle ED is 8cm BDC is a right-angled triangle bc is 4.5cm ABC is a straight line the area of the rectangle abde is 40cm^2 work out the area of the triangle BDC
also I need working out sooooooo
Answer:
11.25cm^2
Step-by-step explanation:
given the area of the rectangle as 40cm^2, we can get the width of the rectangle.
Area =Length x width
40cm^2 = 8cm x width
we can divide both sides 8 to be left with the width
40/8 = 5cm
so the width is 5cm which is equal to the height of the triangle.
Area of BDC = 1/2 x base x height
BDC = 1/2 x 4.5 x 5
=11.25cm^2
hi please answer me asap I will mark brainlist please please I don't have
10.) x-23=-3x+5
x+3=5+23
4x=28
x=711.) C. 2ab12.) -4ab+5-(-2ab + 3)
-4ab+5+2ab-3
-2ab+213.) (-3)+(-5)
-3 -5
-814.) 8.4can someone help me with this please ?
Answer:
Step-by-step explanation:
∠EMC = ∠EMD + ∠DMC
∠EMC = 90
∠EMD + ∠DMC = 90
∠EMD + 20 =90
∠EMD = 90 - 20
∠EMD = 70
∠FMD + ∠DMB = 180 {Linear pair}
90 + ∠DMB = 180
∠DMB = 180 - 90
∠DMB = 90
please help
it would mean the
absolute world:/ giving away lots of points:/
Answer:
:)
Step-by-step explanation:
[tex]M = 3x^2y^3-4xy +x^3y\\\\2M = 2 \times (3x^2y^3-4xy +x^3y) \\\\[/tex]
[tex]= 6x^2y^3 - 8xy + 2x^3y[/tex]
[tex]N = -2x^3y + 6x^2y^3 -8xy -8[/tex]
[tex]= 6x^2y^3 -8xy -2x^3y -8[/tex] [tex][ re-arranging \ the \ terms][/tex]
a)
[tex]2 M - N = ( 6x^2y^3 -8xy +2x^3y) - (6x^2y^3-8xy -2x^3y - 8)[/tex]
[tex]= 6x^2y^3 - 8xy +2x^3y -6x^2y^3 +8xy +2x^3y + 8\\\\= 4x^3y +8[/tex]
b)
[tex]2M - N \ for \ x = -1 \ and \ y = 2: (4(-1)^3\times (2)) + 8 = -8 + 8 = 0[/tex]
Increase 25cm in the ratio 6:5
Answer:
Step-by-step explanation:
25 x 6/5 = 30
Find the distance between the two points in simplest radical form (-3,1) (-6,-7) plz
Answer:
√73
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
√[-6 - (-3)]² + (-7 - 1)²
√(-3)² + (-8)²
√(9) + (64)
√73
8.5
Prove that the following four points will form a rectangle when connected in order
by showing the diagonals are congruent. Show all work.
A(0, -3), B(-4, 0), C(2,8), D(6.5)
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between A(0, -3) and C(2, 8),
AC = [tex]\sqrt{(8+3)^2+(2-0)^2}[/tex]
= [tex]\sqrt{125}[/tex]
= [tex]5\sqrt{5}[/tex]
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = [tex]\sqrt{(5-0)^2+(6+4)^2}[/tex]
= [tex]\sqrt{125}[/tex]
= [tex]5\sqrt{5}[/tex]
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
What is the y intercept of the line that has a slope of 4 and goes through the point (-3, 12)?
Answer:
y = 4 x + 24 i think thats the answer if not im sorry
Step-by-step explanation:
Check all that are equivalent!
Answer:
3^6, 3^-4 * 3^10, 3^3 * 3^3, and (3*3) * (3*3*3*3) are the answers that are equivalent!
Step-by-step explanation:
These four are correct:-
3² × 3⁴ = 3⁶3-⁴ × 3¹⁰ = 3-⁴+¹⁰ = 3⁶3³ × 3³ = 3³+³= 3⁶(3×3)(3×3×3) = 3²× 3³= 3²+3⁴= 3⁶Kevin bought dvds of different movies he spent $5 for each movie the equation y=5 shows how much he spent for the movies
Answer:
The dependent variable is y (the amount paid)
Step-by-step explanation:
Given
[tex]y = 5x[/tex]
Where
[tex]x \to[/tex] number of movies
[tex]y \to[/tex] amount paid
Required
The dependent variable
From the question, we have:
[tex]y = 5x[/tex]
This means that the value of y is determined by the value of x.
Take for instance:
[tex]x = 2[/tex]
The value of y will be:
[tex]y =5*2 = 10[/tex]
If x changes (say; x = 12), y will also change
[tex]y =5*12 = 60[/tex]
Hence, y is the dependent variable
3+(-7)
solve for x help meee
Answer:
3 + ( -7 )
7 - 3
= 4 is the answer
A pyramid is 24ft tall. A scall model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model
Answer:
1 : 12
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
24/2 = 12
1 : 12
PLEASE HELP I'LL GIVE BRAINLIEST!!! Tysm, it's urgent plz
The force, F (Newtons), between two
objects is inversely proportional to the
square of the distance, d (metres),
between them.
The force is 0.35 Newtons when the
distance between the objects is 8 metres,
Work out F (rounded to 2 DP) when
d = 7 metres.
F
Newtons
Answer:
F=0.46N
Step-by-step explanation:
[tex]F[/tex]∝[tex]\frac{1}{d^{2}}[/tex],
[tex]F=\frac{k}{d^{2} } \\[/tex]
[tex]F=0.35N, d=8m\\[/tex]
[tex]0.35=\frac{k}{8^{2} }[/tex]
[tex]k=0.35\times 8^{2} \\\\k=22.4\\F=\frac{22.4}{d^{2} } \\d=7m, F=\frac{22.4}{7^{2} } =0.46N[/tex]
Find the measure for angles 1 and 2.
1.)A loan of 12,000 was borrowed from a bank at 14% per annum. calculate (i) the intrest loan at the end of the first year.
(ii)the total amount owing at the end of the first year
Answer:
(i) interest = $1680
(ii) total amount = 13680
Step-by-step explanation:
Interest.
12000 × 14/100
=168000/100
=1680
Total amount.
Interest + Loan
1680 + 12000
=13680
The area of a opening rectangular window is to be 440 square centimeters. If the length measures x centimeters and the width measures x-2 centimeters, what are the dimensions?
Answer:
[tex]L=1+20i[/tex]
[tex]B=3+20i[/tex]
Step-by-step explanation:
From the question we are told that:
Area [tex]A=440cm^2[/tex]
Generally the equation for For Area is mathematically given by
[tex]A=L*B[/tex]
[tex]A=x*(x-2)[/tex]
Therefore
[tex]x^2-2x-440=0[/tex]
[tex]x=1+20i[/tex]
Therefore The Dimensions are
[tex]L=1+20i[/tex]
[tex]B=1+20i+2[/tex]
[tex]B=3+20i[/tex]
need help don't understand
Answer:
the mode is found by how much of the same number there is making the mode 1
the average is found by adding up all of it and dividing it by how many there is making it 4.2 if you need to round it, tha anwser is 4
Mikes truck can drive 115 miles on 5 gallons of gas. How many miles can be driven with 11 gallons of gas, using the same mpg?
Answer:
253 miles
Step-by-step explanation:
Ratio:
115:5 and x:11
Method 1:
115/5 = x/11
1265 = 5x (cross multiplying)
x = 253 miles
Method 2:
11/5 = 2.2
2.2 x 115 = 253
253 miles
Method 3:
115 / 5 = 23
23 x 11 = 253
253 miles
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Determine the measure of angles 1, 2 and 3.
Measure of 211
Measure of 22
O
Measure of 23
22°
479
1
262
3
Answer:
1) 40
2) 118
3) 71
Step-by-step explanation:
3) is the easiest. All interior angles add to 180
Angle 3 = 180 - 62 - 47
Angle 3 = 71
2) Angle 2 is on the same straight line as 62 and together they equal 180
Angle 2 = 180 - 62
Angle 2 = 118
1) Using 22, Angle 2 and the knowledge that all interior angles equal 180
180 - 22 - 118 = Angle 1
40 = Angle 1
What is the value of w?
Answer:
It would be 1 or just w
Step-by-step explanation:
What is the volume of the rectangular prism?
Answer:
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in.
give me the factors of 30
Answer: 1,2,3,5,6, and 10
Step-by-step explanation:
Add.
3 7/11 + 9 6/11
Write your answer as a mixed number in simplest form.
Help
Answer:
13 2/11
Step-by-step explanation:
40/11+105/11
145/11
13 2/11
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]
[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]
[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]
[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]
[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]
[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]
[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]
[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]
[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]
[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]
[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]
[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
[tex]\frak{Amphitrite1040:)}[/tex]
What is the following sum?
Answer:
i think its c
Step-by-step explanation: