Find the slope of p1 =( 7,-6) p2 = (- 9, 3)

The volume of the shape is 490cm³

A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.

The base of this prism is rectangular. The volume of a prism is expressed as;

V = base area × height

base area = 7 × 10 = 70cm²

height = 7cm

the volume of the shape = 70× 7 = 490cm²

therefore the volume of the shape is 490cm³.

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Answer: ok the first one is 45 i think and the second one is 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

LCD = 35

Ben: 3/5 = 21/35

Sister: 1/7 = 5/35

The whole sandwich = 35/35

Ben ate 21/35

Sister ate 5/35

9/35 remain

21/5 = 4.2

Ben ate 4.2 times more of the sandwich than his sister

Step-by-step explanation:

perimeter means to add all sides

SO

perimeter of triangle is

QR+QP+RP

SO

= 63+70+47

=180

Answer:

perimeter= 180

Step-by-step explanation:

Add 63+70+47=180

63

70

47

+

---------

  180

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

Step-by-step explanation:

2x+6=14

2x=14-6

2x=8

x=8/2

hence; x=4

Answer:

x = 4

Step-by-step explanation:

2(x+3)=14

Distribute

2x + 6 = 14

Subtract 6 on both sides

-6. - 6

Move the variable on one side and the other number on the other

2x = 8

Divide by 2 on both sides

2. 2

Answer:

x = 4

I hope it helps! Have a great day!

Lilac~

Based on the stress-strain curves shown, the most likely statement is that Material A is likely a ceramic material because it shows brittle behavior.

Brittle behavior is characterized by low ductility and little plastic deformation before failure, which is evident in the stress-strain curve for Material A. The curve for Material B shows some plastic deformation before fracture, which indicates a higher level of ductility than Material A. The stress-strain curve for Material C shows a high level of ductility, with a long plastic deformation region before fracture. This behavior is typical of polymeric materials, so Material C is most likely a polymeric material.

It is not possible to determine the specific type of material based solely on stress-strain curves, as many materials can exhibit similar behaviors. Additionally, it is not accurate to say that Material B or Material C are likely ceramic materials based on their stress-strain curves, as both exhibit significant plastic deformation before failure, which is not typical of brittle ceramics.

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Answer:

100 ounces of 12% solution and 60 ounces of the 20% solution.

Step-by-step explanation:

Let x ounces be the amount of 12% solution, then there will be 160-x ounces of the 20% solution.

So, we have the equation:

0.12x + 0.20(160 - x) = 0.15* 160

0.12x - 0.20x + 32 = 24

-0.08x = -8

x = 100.

So, it is 100 ounces of 12% solution and 60 ounces of the 20% solution.

Answer:

its 63

Step-by-step explanation:

cause 8 laps is 56 and then you see what is half of 14 and that 7 so you do 56+7 and that equal 63 because your looking at the 56 and seeing what is half of 14 and that 7 so you just add it to the 56 and you get 63

Hope This Helped :)

Answer:

Ayo boys it a, c, and d

Step-by-step explanation:

Answer: a,b,c

Step-by-step explanation:

157/34 ≈ 4.61764705882....∞

0,34 × n + 3.43 = 5

0,34n = 5 - 3.43

0,34n = 1,57

n = 157/2 ÷ 1/17

n = 157/34 ≈ 4.61764705882....∞

\( \)

The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.

Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.

For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.

Therefore,  a) The inverse of “Add 25” would be “Subtract 25.”What is the  b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”

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Answer:

A Positive

Step-by-step explanation:

Two negatives cancel out and make a positive.

For example: -5  x -6 = 30

The experiment conducted resulted in a '2' five times out of 24 rolls , so the experimental probability is   5 / 24

Answer:

Step-by-step explanation:

As per question ΔCED is right triangle:

Use Pythagorean  to find EC:

Answer:

3 cm

Step-by-step explanation:

mark brainest

Long Division of Polynomials

Divide:

Arranging dividend and divisor for the long division procedure:r thefrrrArA

Divide the first term of the dividend by the first term of the divisor:of the d

Multiply 5x by the divisor: div

Subtract this product from the dividend:

Now divide 2x+2 by x = 2. Repeat the procedure:rocedurrocedu

The quotient is 5x + 2 and the remainder is 4

a

Answer:

-18

Step-by-step explanation:

So we have the expression:

\(a-6y\)

And we want to evaluate it when y=2 and a=-6.

Substitute in these values:

\(=(-6)-6(2)\)

Multiply:

\(=(-6)-12\)

Subtract:

\(=-18\)

Answer:

-18

Step-by-step explanation:

We are given the expression:

\(a-6y\)

and asked to evaluate when a= -6 and y=2.

Therefore, we must substitute -6 in for a and 2 in for y.

\(a-6y , a=-6, y=2\)

\((-6)-6(2)\)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction.

Multiply 6 and 2.

\((-6)-(6*2)\)

\((-6)-(12)\)

\((-6)-12\)

Subtract 12 from -6.

\((-6-12)\)

\(-18\)

The expression a-6y when evaluated for a=-6 and y=2 is equal to -18.

If the amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16. The distance the jumper fall is: A 400 feet.

Using this formula to find the distance by solving for d

t=√d/q

Where:

t = Time = 5 seconds

d = Distance = ?

q = Quantity = 16

So,

5 seconds=√d/16

d=16x5²

d=16 × 25

d= 400 feet

Therefore we can conclude that the correct option is A.

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Answer:

The Vertex is (2,4)

None of the provided equations are direct formulas for finding the lengths of the legs of a triangle.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals symbol ("="). For illustration, 2x - 5 Equals 13.

Here,

5 and 13 are phrases for 2x.

FROM THE QUESTION?

The number of x, which is one of the lengths of a right triangle's legs, can be determined by solving the quadratic equation \(0.5(x)(x+2)=24\) . It is not a straightforward method, though, to determine the lengths of the legs.

It is possible to simplify and calculate the quadratic equation \(x(x+2)=24\) to determine the values of x, which correspond to the lengths of a rectangle whose area is 24. Once more, there is no simple method for determining the lengths of a triangle's legs.

You can simplify and calculate the equation \(x^2+(x+2)2=100\) to determine the value of x, which is one of the lengths of a right triangle's legs. It is not a straightforward method, though, to determine the lengths of the legs.

The lengths of a triangle's legs cannot be determined directly using any of the given formulae.

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Answer: 56.72 m, 72.6 m

Step-by-step explanation:

Given

The initial angle of elevation is \(38^{\circ}\)

after walking 25 m, the angle of elevation is \(50^{\circ}\)

In \(\triangle ABD\)

\(\Rightarrow \tan 38^{\circ}=\frac{h}{x+25}\)

\(\Rightarrow h=\tan 38^{\circ}(x+25)\quad \ldots(i)\)

In \(\triangle ABC\)

\(\Rightarrow \tan 50^{\circ}=\frac{h}{x}\\\\\Rightarrow h=x\tan 50^{\circ}\quad \ldots(ii)\)

From (i) and (ii)

\(\Rightarrow x\tan 50^{\circ}=(x+25)\tan 38^{\circ}\\\Rightarrow 1.191x-0.781x=25\times 0.781\\\Rightarrow 0.4104x=19.532\\\Rightarrow x=47.59\approx 47.6\ m\)

\(\Rightarrow h=47.6\times \tan 50^{\circ}=56.72\ m\)

The distance of tree bottom and Chidi's  is

\(\Rightarrow x+25=47.+25=72.6\ m\)

Answer:

Step-by-step explanation:

The equivalent fractions with a denominator of 12 are

To rewrite each fraction with a denominator of 12, we need to find an equivalent fraction that has 12 as its denominator.

3/4 can be rewritten as (3/4) * (3/3) = 9/12.

5/3 can be rewritten as (5/3) * (4/4) = 20/12.

Therefore, the fractions with a denominator of 12 are:

3/4 = 9/12

5/3 = 20/12

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complete questions

Rewrite each fraction with a denominator of 12.

3/4

5/3

The system of equations y+4x=7 and −2y−4=8x has no solutions.

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y+4x=7 ...(1)

−2y−4=8x...(2)

2y+8x=-4

From equation 1

y=7-4x

Simplifying and solving for x, we get:

-14 + 8x - 4 = 8x

-18 = 0

This is a contradiction, since -18 is not equal to 0. Therefore, there is no solution that satisfies both equations.

Hence, the system of equations has no solutions.

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The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

Three correct statements connoting proofs are:

A proof statement simply refers to a particular statement unleashing evidences and points that prove a claim to be true. The three major types of proof are:

In conclusion; a proof statement is a statement which convinces that a claim is absolutely true.

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Answer:

A: In a paragraph proof, statements and their justifications are written in sentences in a logical order.

B: A two-column proof consists of a list statements and the reasons the statements are true.

D: A flowchart proof is a visual way of describing the statements and reasons for a proof.