Answer:
yes because both sides of the triangle are equal lengths
Step-by-step explanation: plz mark brainliest
Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 0A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?
A. 30-35
B. 65-70
C. 130-135
D. 265-270
Answer:
Step-by-step explanation:
B?
in an iso triangle the length of a leg is 17 cm in the base is 16 cm find the length of the altitude to the base
If the length of the leg of the isosceles triangle is 17 cm and the base is 16 cm then the length of altitude to the base is 15cm .
An Isosceles triangle is defined as a triangle in which any two side are of equal length .
The Length of the leg is = 17cm ,
the base of the triangle is = 16cm ;
let the length of the altitude to the base be = x cm ,
The altitude to the base of the triangle divides it into two right angle triangle.
So , in one of the right angle triangles, Base = 16/2 = 8 cm
the Hypotenuse of triangle = length of the leg = 17 cm
By Applying Pythagoras theorem,
we get ,
17² = 8² + x² ,
289 = 64 + x² ,
x² = 289 - 64
x² = 225 ,
taking Square root(√) on both the sides ,
we get , x = 15 .
Therefore , the length of the altitude to the base is = 15 cm .
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To find the altitude of an isoceles triangle with a base length of 16 cm and a leg length of 17 cm, use the Pythagorean Theorem. Calculate 17² + 16² = c², then solve for c² to get c = √545 = 23.3 cm.
The altitude of the triangle can be found using the Pythagorean Theorem.
a² + b² = c²
17² + 16² = c²
289 + 256 = c²
545 = c²
c = 23.3 cm
(or)
17² + 16² = c² => 289 + 256 = c²
=> 545 = c²
=> c = √545 = 23.3 cm
The altitude of an isoceles triangle can be found by using the Pythagorean Theorem. The formula for the theorem is a² + b² = c², where a and b are the two sides and c is the hypotenuse, which is the altitude. In this situation, a is the leg length of 17 cm and b is the base length of 16 cm. Substituting these values into the equation gives 17² + 16² = c². Solving for c² gives c = √545 = 23.3 cm, which is the length of the altitude.
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Where do we use mode and median in our daily lives? and,How mode and median helps us ?
Answer: Tbh It doesn't Im 27 and I have never used this and im an engineer
Step-by-step explanation:
the receipt you are using indicate that a mixture should be heated to a temperature of 132F.The mixture is currently at 109F. how many more degrees d does the mixture need to be heated
The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.
How much must the receipt be heated to be at recommended temperature?
Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.
Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:
ΔT = R - r
Where:
ΔT - Temperature difference, in degrees Fahrenheit.r - Real temperature, in degrees Fahrenheit.R - Expected temperature, in degrees Fahrenheit.If we know that r = 109 °F and R = 132 °F, then the temperature difference is:
ΔT = 132 °F - 109 °F
ΔT = 23 °F
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Algebra Question
Let v = (-7,6,-6) and w = (-5,-3,-6) be vectors in R^3. Find the orthogonal projection of v onto w.
Answer:
Projection on w: (-54/14, -159/70, -159/35)
I have the correct answer but I don't know how they got it.
The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).
To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:
proj_w(v) = (v⋅w) / (w⋅w) * w
where ⋅ denotes the dot product.
Calculating the dot product of v and w:
v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53
Calculating the dot product of w with itself:
w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70
Now, substituting these values into the formula, we have:
proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)
Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).
In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.
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in the backwaters of Kerala a boatman was throwing a Boat using a long pole of length 4.80 when he put the pole vertically into the water so that the pole touch the ground under the water 0.25 part of the pole was above the water level what is the depth of the water at that point
Answer:
3.60m
Step-by-step explanation:
In backwaters of Kerala, a boatman was throwing a boat with a long pole which has a length of 4.80m
The boatman put the pole into the water vertically, the part of the pole that was seen above the water level is 0.25m
The first step is to calculate the length of the pole that is seen above the water level
= 4.80 × 0.25
= 1.20m
Therefore the depth of the water at that point can be calculated as follows
=4.80m - 1.20m
= 3.60m
Hence the depth of the water at that point is 3.60m
The perimeter of a rectangle is 72 cm one side is 3 times the length of the other form an equation and solve for the length and width
Answer:
2(length) +2(width)=perimeter
2(3(width))+2(width)=72
8×width=72
width=9
length=3×9=27
area=27×9
247=area
Step-by-step explanation:
Hiram drove a total of 1542.75 miles in 3 days. Each day he drove 81 hours and then
stopped for the night. What was his average speed in miles per hour for the 3-day trip?
does anyone have the answers to this worksheet??? i really need them!
Answer: I'm sorry
Step-by-step explanation: I don't have the answer...
Match each equation to its solution
Step-by-step explanation:
First one on the left = Second one on the right
Second one on the left = First one on the right
Third one on the left = Third one on the right
Given f(x) = x³ - 6x + k, and the remainder when f(x) is divided by x - 1 is 14, then what is the value of k?
Answer: 19
Step-by-step explanation: The best way is to set this up with synthetic division (as the attached image).
Hope this helps!
what is equivalent to 7w +7w
Answer:
14w
Step-by-step explanation:
Hope this helps
please help me will give u extra points :)
•
Therefore , the solution of the given problem of compound sentence's comes out to be { x|–2< x < 5}
What is Compound Inequalities?Indicated by the conjunction "or," the compound sentence is true as long as either of the two statements is true. In other words, it is the union or combination of the solution sets for each unique assertion. The term "conjunction" refers to a compound inequality that contains the word "and". The words "and" and "or," which are considered to be variables of speech, have a different meaning in mathematics than they do in grammar.
Here,
Given :
=> On the number line
=> -5 to -2
and 5 to infinity .
So,
Both x| x > -2 and x < 5
The following is another method to state this solution set:
{ x|–2< x < 5}
It is assumed that the word "and" will always be used in compound inequality expressions when neither "and" nor "or" is explicitly used. You say, "x is more than -2 and (reading to the right) x is less than 4," reading from the "x" position as "x|-2" "x," "x," and "x," respectively. This is the solution set's graph.
The Complete Question.
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Please I rlly need this
Answer:
Volume of triangular pyramid = 2,090 inch³
Step-by-step explanation:
Given:
Side height of base = 19 inch
Side length of base = 22 inch
Height of triangular pyramid = 30 inch
Find:
Volume of triangular pyramid
Computation:
Area of triangular base = (1/2)(b)(h)
Area of triangular base = (1/2)(19)(22)
Area of triangular base = 209 inch²
Volume of triangular pyramid = (1/3)(A)(h)
Volume of triangular pyramid = (1/3)(209)(30)
Volume of triangular pyramid = 209 x 10
Volume of triangular pyramid = 2,090 inch³
Mike is c years old, he is half as old as Steve. How old was Steve two years ago?
Answer:
2(c-1)
Step-by-step explanation:
MIke is c
Steve is 2c
Steve was 2c -2 two years ago
pls help me pls pls pls
Answer:
where is the question? si need the question pls
What is the surface area of the right cone below?
A. 63r units2
B. 545 units2
C. 1267 units2
D. 997 units2
Group the terms with variables on one side of the equal sign, and simplify.
5z + 3 = 36z
Answer:
z = 3/31
Step-by-step explanation:
5z + 3 = 36z
subtract 5z on both sides
3 = 31z
divide by 31 on both sides
z = 3/31
given a binary-class classification problem in which the class labels are binary, the dimension of feature is d, and each attribute can take k different values. please provide the numbers of parameters to be estimated with and without the simplifying assumption. please explain your answer. briefly justify why the simplifying assumption is necessary.
For binary class classification, assumptions are necessary in a way:
Given that
From Boyer Naive classifier,
We evaluate (ai | vj) is given below
(ai | vj) = n(e) + m(p) / n + m
Here,
m = equivalent sample size
n(e) = number of training examples
for which v = vj and a = ai
n(i) = number of training example for which v = vj
P = a prior estimate for P(ai | vj)
Here, we calculate that
P(SUV | yes), P(Red | yes), P(Domestic | yes)
P(SUV | no), P(Red | no), P(Domestic | no)
We evaluating this value like
yes:
RED : SUV: DOMESTIC:
n = 5 n = 5 n = 5
n(c) = 3 n(c) = 1 n(c) = 2
P = 0.5 P = 0.5 P = 0.5
m = 3 m = 3 m = 3
Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.
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Which of the following can NOT be answered from a regression equation?
a
predict the value of y at a particular value of x
estimate whether the linear association is positive or negative
estimate whether the association is linear or non linear
none of the above
Answer:
estimate whether the association is linear or non linear
Step-by-step explanation:
Find x (circle)
(Btw I don’t know if 5.6 is correct so just ignore that)
Answer:
A. 11.2
Step-by-step explanation:
But this has nothing to do with 5.6 × 2. Erase that! Lol.
You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.
The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.
The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.
The hypotenuse is 14.
Let's do some Pythagorean Theorem.
Leg^2+ leg^2=hypotenuse^2
you know,
a^2 + b^2 = c^2
fill in what we know.
8.4^2 + b^2 = 14^2
simplify.
70.56 + b^2 = 196
subtract 70.56
b^2 = 125.44
squareroot both sides
b = 11.2
simplify each product (v+7) (v-7p
Given data:
The given expression is (v+7)(v-7)
The formula for
\((a^2-b^2)=(a+b)(a-b)\)Using the above expression to write the expression as,
\((v+7)(v-7)=(v^2-49)\)Thus, the result of the given expression is v^2-49.
On its own, 5 � � 5ab5, a, b is the product of
The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form
The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.
The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.
The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.
Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.
Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.
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A sience teacher uses an overhead projector to display a diagram of a pulley sytem. the actual diagram is 6'' by 7.2''. The image projected onto the wall is 4' 2'' by 5'' what is the scale factor of the projection
Answer:
25/36, or .694444
Step-by-step explanation:
First, let's convert 6" to inches.
That gives us 72. After we convert 4'2" into inches, we get 50.
This means that the diagram goes from 72 inches wide to 50. Put this into a proportion to find the scale factor:
50/72 = 25/36 = .6944444
Which of the following points is a solution of the inequality y < -Ixl?
(1, 0)
(1, -1)
(1, -2)
Answer:
(1, -2)
Easy Question for me
Inequalities - Introduction
Answer:
Step-by-step explanation:
This number line says that we can take all values of x that are less than or equal to 2. That is, the solution is
\(x\leq 2\)
NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)
If a car is traveling at 120 km/s within 120 min, what is its distance? (Remember: 60 seconds = 1 min. 120 km = 120,000 m) *
Answer:
\(d=864\times 10^6\ m\)
Step-by-step explanation:
Given that,
Speed of a car, v = 120 km/s
It takes 120 minutes
v = 120000 m/s
t = 7200 s
We need to find the distance covered. Speed is given by :
v = distance/time
\(d=v\times t\\\\d=120000\ m/s\times 7200\ s\\\\d=864\times 10^6\ m\)
So, the distance covered is \(864\times 10^6\ m\).
HELP PLEASEEEEEEE!!!!!
The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
What are similar shapesSimilar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.
Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:
the measure of angle Z is equal to 65°
the side EF corresponds to JK and side FG corresponds to KL, so:
8/20 = 11/x
x = (11 × 20)/8 {cross multiplication}
x = 27.5
the side EF corresponds to JK and EH corresponds to JM, so:
8/20 = y/30
y = (30 × 8)/20 {cross multiplication}
y = 12
Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
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HELP DOING CORRECTIONS DUE IN A HOUR GIVING BRAINLIEST AND 25 POINS
Answer: a = 9
Step-by-step explanation:
The triangle follows the 45-45-90 rule, meaning:
- This is the only isosceles triangle where the Pythagorean theorem can be used.
There are 2 ways to solve this problem...
The easy way is to identify the fact that the sides of a 45-45-90 triangle will be:
– the sides opposite the 45° angles will be 'a'
– the hypotenuse is a•\(\sqrt{2\)
The hard way will help visualize this:
Since there's a right angle, you can use the Pythagorean theorem
a² + a² = c² = \((9\sqrt{2})^{2}\)
2a² = \((9\sqrt{2})^{2}\)
2a² = (9²•2) = 162
a² = 81
a = 9