Which two triangles are congruent
UVW and HIJ are congruent
Is r<23 true or false
Answer:
Step-by-step explanation:
True
Consider Functions F and G
Answer:
A
Step-by-step explanation:
We are given two functions:
[tex]\displaystyle f(x)=\frac{x-16}{x^2+6x-40}\text{ and } g(x)=\frac{1}{x+10}[/tex]
And we want to find:
[tex]f(x)+g(x)[/tex]
Thus:
[tex]\displaystyle =\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}[/tex]
We can factor the denominator of the first term:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}[/tex]
In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\Big(\frac{x-4}{x-4}\Big)[/tex]
Multiply:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{x-4}{(x+10)(x-4)}[/tex]
Combine:
[tex]\displaystyle =\frac{(x-16)+(x-4)}{(x+10)(x-4)}[/tex]
Simplify:
[tex]\displaystyle =\frac{2x-20}{(x+10)(x-4)}[/tex]
We can expand the denominator:
[tex]\displaystyle =\frac{2x-20}{x^2+6x-40}[/tex]
Therefore, our answer is A.
Answer:
A
Step-by-step explanation:
A triangle has side lengths of 1.9cm, 2.7cm and 3.3cm, all measured to 1 decimal place could this be a right angled triangle
Answer:
Yes
Step-by-step explanation:
A triangle is a "right" triangle if its lengths fullfil the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
Here, a and b are the shorter "legs" of the triangle, adjacent to its right angle, while c is the "hypotenuse," the longest side and the one opposite the right angle.
If we call the 1.9 cm and 2.7 cm our legs, the sum of their squares is:
[tex]2.7^2+1.9^2=10.9[/tex] cm
While squaring our hypotenuse gives us
[tex]3.3^2=10.89[/tex] cm
The fact that we measured the triangle's side lengths to 1 decimal point of accuracy means that there's a little margin of error baked into the measurement. The two previous calculations are within 0.01 cm of each other, which is more than close enough, so we can say that yes, this could be a right triangle.
The area of the trapezoid is 40 square units. A trapezoid is shown. The lengths of the bases are 6 and 10, and the height of the altitude is h. What is the height of the trapezoid? Group of answer choices 10 units 12 units 5 units 3 units
Answer:
5 units or B
Step-by-step explanation:
Answer:
It is 5 units
Step-by-step explanation:
Need help plzzz will give Brainlyest
Answer:
Rate = 4%
Step-by-step explanation:
Simple interest = (principal × rate × time) / 100
Principal = $399.00
Rate = ?
Time = 2 years
Interest = $31.92
Simple interest = (principal × rate × time) / 100
31.92 = (399 * x * 2) / 100
31.92 = 798x / 100
Cross product
31.92 * 100 = 798x
3192 = 798x
x = 3192 / 798
x = 4%
Rate = 4%
triangle EFG has vertices at E(4,7) F(2,-7) and G(-6,-3). Prove that triangle EFG is.isosceles
Step-by-step explanation:
fyp :)
Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot shows the temperatures from the previous year during the time that Dominick will take his vacation
Help please I don’t know what to do ASAP last question
Answer:
y = x - 3/5
Step-by-step explanation:
Slope = -1
(0 , -3/5)
y - y1 = m(x - x1)
y + 3/5 = -1(x - 0)
y + 3/5 = x
y = x - 3/5
Answer:
y = x - 3/5
Step-by-step explanation:
Hope this helps
if the volume of a prism in 18 in3 , what is the volume of a pyramid with the same base area and height?
The volume of a pyramid is 1/3 the volume of a prism with the same area and height.
Volume of the pyramid would be 18/3 = 6 in^3
Answer:
fdsfdgggfs
Step-by-step explanation:
slove The System of linear
equations by graphing.
3) y=x+3 Y=x+1
Answer:
10
Step-by-step explanation:
1. Find the value of x.
76°
(3x-1)
PLEASE HELP ,
show work
Step-by-step explanation:
Divide each term in 3x = 1 by 3
3x/3 = 1/3
cancel the common factor of 3
x = 1/3
decimal form
0.3
A triangle has three angles, z1, z2, and Z3. if Z1 = 34o and Z2 = 86o, what is the measure of Z3
Answer:
60
Step-by-step explanation:
Triangle Angle Theorem
In any triangle, the sum of all angles equals 180
180 - 34 + 86
= 60
The perimeter of a rectangular field is 84 yards. The ratio of the length to the width is 2:1. What are the length, width and area of the field?
Given:
the perimeter of a rectangular field is 84 yardsthe ratio of the length to the width is 2:1To find:
the lengththe widththe areaAnswer:
Let's assume that the length is 2x and the width is 1x.
We know that the formula to find the perimeter of a rectangle is as follows:
Perimeter = 2 × (Length + Width)
Substituting the values that we have, into the formula above,
84 = 2 × (2x + 1x)
84 = 2 × 3x
84/2 = 3x
42 = 3x
x = 42/3
x = 14
Since we know the value of 'x', let's use it to find the length and the width.
Length = 2x = 2 × 14 = 28
Width = 1x = 1 × 14 = 14
Since we now know the length and the width, let's find the area of the rectangle.
The formula to find the area of a rectangle:
Area = Length × Width
Substituting the values we have into the formula,
Area = 28 × 14
Area = 392
Therefore, the area of the rectangle is 392 square yards.
Hope it helps. :)
Maxine find a dress on sale for 10% off at a boutique.The original price was $62, Maxine must also pay 6.75% sales tax.What is the final cost of the dress?
10% off means she pays 90% of the original price. (100% - 10% = 90%)
62 x 0.90 = 55.80 the sale price of the dress is $55.80
Now add the tax by multiplying the sale price by 1 + tax rate:
55.80 x 1.0675 = 59.57
She paid $59.57
Answer:
10% off means she pays 90% of the original price. (100% - 10% = 90%)
62 x 0.90 = 55.80 the sale price of the dress is $55.80
Now add the tax by multiplying the sale price by 1 + tax rate:
55.80 x 1.0675 = 59.57
She paid $59.57
Step-by-step explanation:
If cos (A+B) = cosAcos B – sinAsin B , find the value of cos 75
Answer:
Step-by-step explanation:
Cos 75 = Cos ( 30 + 45) {Use Cos (A + B) identity}
= Cos 30*cos 45 - Sin 30 Sin 45
[tex]= \frac{\sqrt{3}}{2}*\frac{1}{\sqrt{2}}-\frac{1}{2}*\frac{1}{\sqrt{2}}\\\\= \frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}\\\\=\frac{\sqrt{3}-1}{2\sqrt{2}}\\\\=\frac{(\sqrt{3}-1)*\sqrt{2}}{2\sqrt{2}*\sqrt{2}}\\\\=\frac{\sqrt{3}*\sqrt{2}-\sqrt{2}}{2*2}\\\\=\frac{\sqrt{6}-\sqrt{2}}{4}[/tex]
Your yard is the shape of a trapezoid you go to the store to find fertilizer please help
your answer is 1725 hope that helped
A plane intersects the center of a sphere
with a volume of about 9,202.8 m3. What is
the area of the cross section? Round to the
nearest tenth.
Answer:
530.66
Step-by-step explanation:
The computation of the area of the cross section is shown below
Given that
Volume = 9208 m^3
Now let us assume the radius be r
So volume = 4 ÷ 3 πr^3
9202.8 × 3 ÷ 4π = r^3
27,608.4 ÷ 4 × 3.14 = r^3
27,608.4 ÷ 12.56 = r^3
2,198.12 = r^3
r = 13
Now the area of the cross section is
= πr^2
= 3.14 × (13)^2
= 530.66
44 cu. cm of wire is drawn into a wire of diameter 2 mm , the length of wire will be _____.
Given:
44 cu. cm of wire is drawn into a wire of diameter 2 mm.
To find:
The length of the wire.
Solution:
We know that,
1 cm = 10 mm
1 cu. cm = 1000 cu. mm
We have, a wire of cylindrical shape.
Volume of the wire = 44 cu. cm
= 44000 cu. mm
Radius of the wire = 2 mm
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Putting V=44000, [tex]\pi=\dfrac{22}{7}[/tex] and r=2, we get
[tex]44000=\dfrac{22}{7}\times 2^2\times h[/tex]
[tex]44000\times \dfrac{7}{22}=4h[/tex]
[tex]14000=4h[/tex]
Divide both sides by 4.
[tex]\dfrac{14000}{4}=h[/tex]
[tex]3500=h[/tex]
Therefore, the length of the wire is 3500 mm or 350 cm.
20 large plastic bottles can be recycled to 1 fleece jacket.
How many fleece jackets can be made with 280 large plastic bottles?
Answer:
14 jackets
Step-by-step explanation:
20 plastic bottles=1 fleece jacket
280 plastic bottles=?
(280×1)÷20
=14
What would be the answer?
Answer:
I don't know what is the answer if this question
Max typically drinks 3 3/4 cups of milk each day. Today he tripled that amount.
How much milk did Max drink today?
Answer:
11 1/4
Step-by-step explanation:
Multiply this by three, 3, 6, 9.
3/4, 1 2/4, 2 1/4.
2 + 9 = 11.
11= 1/4 = 11 1/4
Answer:
Max drank 11 1/4 cups of milk today.
Explanation:
Convert the mixed number (3 3/4) to a fraction.
Then your equation becomes:
15/4 x 3/1 (since he tripled the cups of milk he drank you multiply by 3 which as a fraction is 3/1)
Next:
15/4 x 3/1= 11 1/4!
Hope this helps :)
Plz help me figure this one out I need the answer ASAP ILL GIVE 5 stars and branliest
3. The material Santiago will use to build the ramp costs $2.20 per square foot. What will the total cost of building the ramp be?
Answer:
262 square feet
Step-by-step explanation:
The required expression model for the cost of the ramp is y = 2.20x.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let the area of the ramp be x and the cost to build the ramp be y,
According to the question,
The material Santiago will use to build the ramp costs $2.20 per square foot.
Total cost = 2.20 × area of the ramp
Substitute the variable in the above expression,
y = 2.20x
The above equation represents the equation model for the cost of ramp y for the x square foot area of the ramp.
Thus, the required expression model for the cost of the ramp is y = 2.20x.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ5
How many solutions does the system have?
12x-5y=-20 y=x+4
a. Exactly ONE solution
b. Infinitely MANY solutions
c. NO solutions
Answer:
its letter c
Step-by-step explanation:
its error ....
........
Answer:
c
Step-by-step explanation:
yeah.....................................
Which statement is NOT true about the normal probability density function?
A. It is also known as the bell curve.
B. Its shape is completely concave downward.
C. It has 2 inflection points.
D. It has reflectional symmetry.
Answer: The correct answer is
B. Its shape is completely concave downward.
Translate this phrase into an algebraic expression. Eight more than the product of 8 and a number Use the variable n to represent the unknown number.
Answer:
8n + 8
Step-by-step explanation:
We already know that n is the unknown number. Product means multiplying, so you multiply 8 by the unknown number. More than means adding, so you add 8 to the product of 8n.
1. A calculator that costs $130 is on sale for 20%
off, what is the sale price? (Show work)
When factoring an expression, how can you tell if you used the GCF as the factor? Explain.
Answer:
LARGEST FACTOR
Step-by-step explanation:
The greatest common factor or GCF is the largest factor that all terms have in common. Step 2: Factor out (or divide out) the greatest common factor from each term. Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common.
whats ur fav book, song, movie
for brainliest; [whats ur fav economic system and why]
:)
Answer:
hm i like the giver and my favorite economic system is a traditional economy
Step-by-step explanation:
I say that because tradition is pretty much based on customs and beliefs and because of that it helps form the goods
Answer:
My fav book is The Tail of Emily Windsnap. My fav song is Imagine Dragon -Believer. My fav movie is Frozen II & Raya and the Last Dragon
Step-by-step explanation:
My fav economic system is market economy because they make the prices fair :)
