Question 1: Find the area of each triangle
(a)
(b)
10cm
8cm
7
6cm​

Answer:

332 ft²

Step-by-step explanation:

A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area of this path. Be sure to include the correct unit in your answer.

Solution:

The area of the rectangular garden = length * breadth = 33 ft. * 46 ft. = 1518 ft²

Since the path surrounding the garden is 2ft, the length of the path with the garden = 46 + 2 + 2 = 50 ft

The width of the path with the garden = 33 + 2 + 2 = 37 ft.

Area of the path with the garden = length * breadth = 50 ft * 37 ft = 1850 ft².

Area of the path = 1850 ft² - 1518 ft.² = 332 ft²

Answer:

C is the answer

Step-by-step explanation:

 because if you move the triangle two to the right then X=1

X=1 means the line is up and down going thought x=1

and if that line you make you reflect across it would be C

Answer:

C) The sum of the measures of the interior angles of a triangle is 180°.

Step-by-step explanation:

I got it correct on edge

The fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two triangles shown in the picture.

Angle B = 46 degrees

Angle C = 45 degrees

Angle A = 180 - 45 - 46 = 89 degrees

Angle R = 46 degrees

Angle S = 180 - 46 - 89 = 45 degrees

Angle T = 89 degrees

Thus, the fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.

Learn more about the similarity of triangles here:

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[tex]\sqrt{89}[/tex]

Hope This Helps You!

Good Luck Studying ^-^

Answer: 57.6m

Step-by-step explanation:

That's a lot of words that questions usually use to try to trip us up but not this time so lets pull all relevant information

199.2m= top of off shore oil rig

-9.6 m is the base of the rig

observation deck is 1/6 of the total height

helly pad is 22.8m above the observation deck

First lets try to find the total height of the rig. We can do this by adding the absolute value of the top and base of the oil rig. So 199.2 + 9.6 = 208.8m

So the total height is 208.8m now lets find the observation deck. We know the observaition is 1/6 of the total height which is 208.8m right so lets multiply. 1/6*208.8m= 34.8m

Now we know the observation deck is 34.8m high. Finally we can find the helly pad which is 22.8 m above the observation deck.

Since the observation deck is 34.8m and the helly pad is 22.8 above observation deck (34.8m) all we have to do is add so 22.8+34.8= 57.6m

So we know the total height is 208.8m

The observation deck is 34.8m

And the helly pad is 57.6m

Answer:

11.4

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

Answer:

Im not sure but hope you find it!!

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

douwdek0 The Titanic could stay afloat with four of its 16 watertight compartments flooded, more than anyone could imagine on a ship of its size. ... As the ice bumped along its starboard side, it punched holes in the ship's steel plates, flooding six compartments. In a little over two hours, the Titanic filled with water and sank. the answer is 128 if u read all this but brainlest????

Answer:

m = -10, 14 x = 1, -5

Step-by-step explanation:

m^2 - 4m = 140 (in a parallelogram, opposite angles are congruent)

(1)m^2 - 4m - 140 = 0

Objective: Find two numbers that multiply to -140(1 * -140) and add to -4

Numbers: 10, -14

(m + 10)(m - 14) = 0

m + 10 = 0, m - 14 = 0

m = -10, m = 14

x^2 + 4x = 5 (in a parallelogram, opposite sides are equal)

(1)x^2 + 4x - 5 = 0

Objective: Find two numbers that multiply to -5(1 * -5) and add to 4

Numbers: -1, 5

(x - 1)(x + 5) = 0

x - 1 = 0, x + 5 = 0

x = 1, x = -5

eighteen biscuits are made from each cup

Answer:

Volume of replica = 625 cubic inches

Step-by-step explanation:

Height of the gold statue = 80 inches

Volume of the gold statue = 320 cubic inches

Height of the replica = 100 inches

Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]

                                      = [tex]\frac{100}{80}[/tex]

                                      = 1.25

Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]

Since, volume scale factor = (Dimensional scale factor)³

[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]

Volume of replica = (1.25)³ × Volume of original statue

                              = (1.25)³ × 320

                              = 625 cubic inches

-2xy + 5x² +4y -10x

Step-by-step explanation:

Answer:

Not proportional because it's not linear. Hope this helps

Answer:

Step-by-step explanation:

The first is 2, the second is 6 and the third is 14.

Answer:h=11.2

Step-by-step explanation:

From the figure, we can write

[tex]\Rightarrow \sin x=\dfrac{8}{10}=\dfrac{4}{5}\\\\\Rightarrow x=53.13^{\circ}[/tex]

Also, [tex]\sin x[/tex] can be written as

[tex]\Rightarrow \sin x=\dfrac{h}{14}\\\\\Rightarrow \dfrac{4}{5}=\dfrac{h}{14}\\\\\Rightarrow h=11.2\ \text{units}[/tex]

Answer: h = 11.2

explain: I can't do this much but hope this helps.

Step-by-step explanation:

The Triangle Inequality Theorem states that any two sides of the triangle must add up to be greater than the third side.

Here we have a triangle that has side lengths of 10 in, 11 in, and ? in.

This last side length must add up to 10 in to be greater than 11 in.

The least possible whole number that would fit this description would be 2 in.

The missing side length should be labeled as 2 inches.

We are given a triangle with side lengths of 6 in and 8 in. We are asked to choose all answers that apply from this list:

We can tell that 2 in cannot be an answer since 6 in + 2 in is not greater than 8 in.

We also know that 14 in and 15.5 in cannot be part of the answer choices since 8 in + 6 in = 14 in, and this is not greater than 14 in or 15.5 in.

The rest of the answer choices will form a triangle if we follow the Triangle Inequality Theorem. You can test it out yourself to check.

Therefore, the answer choices are:

We are given these possible side lengths:

Let's test out which combinations will create a triangle.

The straw lengths 2, 4, and 5 will form a triangle.

The straw lengths 2, 5, and 6 will form a triangle.

The straw lengths 2, 4, and 6 will NOT form a triangle.

The straw lengths 4, 5, and 6 will form a triangle.

The straw lengths 5, 6, and 10 will form a triangle.

We have no more straw lengths that will form a triangle, since adding up each remaining pair of given straw lengths do not output a value greater than another number.

[tex]{\sf{\bold\green{\fcolorbox{grey}{grey}{✅\:\:Verified\:\:answer}}}} [/tex]

REQUIRED CHART :

The required chart has been attached

Answer:

31.8%

30.0%

Step-by-step explanation:

Required :

To obtain the Difference between Sweden and United States high and medium categories to the nearest %

Sweden :

High category = $23.51

Medium category = $15.73

United States :

High category = $34.48

Medium category = $22.46

Percentage Difference :

High category : (34.48 - 23.51) / 34.48 * 100% = 31.8%

Medium category : (22.46 - 15.73) / 22.46 * 100% = 29.96% = 30.0%

Answer:

solve the inequality in the form of w

Answer:

angle 1 is 39

angle 3 is 51

Step-by-step explanation:

Here, we want to get the value of angle 1 and angle 3

Let’s have the meeting point of the diagonals as E

Hence , ADE is a right triangle

Thus,

39 + angle 3 = 90

angle 3 = 90-39

angle 3 = 51

Furthermore;

we can see that ABD is isosceles, meaning that the base angles are equal

Thus, we have it that;

angle 3 and angle at B (for AEB triangle) are equal in values

So, we can conclude that the angle is 51 too

so if the angle is 51 too, then the triangles ADE and ABE are similar

That simply means angle marked 1 is 39

Answer:

if you multiply pi by 64^2 times 6 then it comes out to 77207.78

Step-by-step explanation:

64^2 = 4096

4096 (6) = 24576

24576 (π) ≈ 77207.78

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\frac{4}{5} = \frac{9}{10}[/tex] --- Jack's thought

Because:

[tex]\frac{4+5}{5+5} = \frac{9}{10}[/tex]

Jack's thought is incorrect.

This is so because, to get an equivalent fraction; you don't add common terms to the numerator and the denominator but instead you multiply the numerator and the denominator by a common term.

Take for instance, the common term is: 2

The fraction becomes:

[tex]\frac{4 * 2}{5 * 2} = \frac{8}{10}[/tex]

Answer:

64oz=4lb

Step-by-step explanation:

When converting ounces to pounds there is a 16:1 ratio, or there is 16 ounces in every pound.

To solve this, simply do 64/16 and you'll get your answer of 64oz=4lb.

64/16=4

64oz=4lb

The value of x in the hexagon is 17.

A hexagon is a polygon with six sides. The sum of angles in a hexagon is 720 degrees.

Therefore, x can be found in the hexagon as follows:

we have to sum the whole angles to get x.

110 + 8x - 1 + 5x + 36 + 116 7x + 19 + 6x - 2 + 110 = 720

combine like terms

110 + 116 - 2 + 36 - 1 + 19 + 8x + 5x + 7x + 6x  = 720

278 + 26x = 720

subtract 278 from both sides of the equation

278 + 26x = 720

278 - 278 + 26x = 720 - 278

26x = 442

divide both sides by 26

x = 442 / 26

x = 17

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9 × 13ˣ = 9 × exp(ln(13ˣ ))

… = 9 × exp(x ln(13))

… = A₀ × exp(kx)

so that

A₀ = 9

k = ln(13)

Answer:

D is the answer since you added all the numbers together ten divide by five

Answer:

D

Step-by-step explanation:

We need to find the missing value to make sure it averages out to 250.

So they will be 5 rounds of different scores.

Since we dealing with averages, we need to set up a

equalivent equation to 250. We would add up all our previous scores and try to find the new x score and divide it by 5 and set it equal to 250. So our equation will look like.

Let x represent of our next game.

[tex] \frac{236 + 274 + 246 + 236 + x}{5} = 250[/tex]

Multiply by 5 both sides

[tex]236 + 274 + 246 +236 + x = 1250[/tex]

[tex]992 + x = 1250[/tex]

[tex]x = 258[/tex]

d is the answer

Answer:

Thus, 11/30 is the simplified fraction for 55/150 by using the GCD or HCF method.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

-6x+8x=2x

5+3=8 (when you move a number to the other side of an equals sign, it changes its value)

2x=8

2x/2 and 8/2

x=4

Answer:

X=4

Step-by-step explanation:

Answer:

[tex]the\: answer \: is \: {108 \: mi.}^{2} [/tex]

Step-by-step explanation:

Given hints:

a.) A park has the shape of a trapezoid.

b.) The shortest side of the park and its height have the same dimension.

In the given figure, the shortest side of the park is A. Since it is mentioned that the height and its shortest side have the same dimension, we can therefore say that the measure of A is 9 mi.

The longest side appears to be 6 miles longer that the shortest side:

[tex]b = a + 3 \: mi + 3 \: mi = a + 6 \: mi[/tex]

Therefore, B = A + 6 mi. = 9 mi. + 6 mi. = 15 mi.

Let's now determine the area of the park:

[tex]area = \frac{a + b}{2} h[/tex]

Where,

A = 9 mi.

B = 15 mi

H = 9 mi.

[tex]area = \frac{a + b}{2} h \\ \\ = \frac{9 \: mi. +15 \: mi. }{2} (9 \: mi.) \\ \\ = \frac{24 \: mi.}{2}(9 \: mi.) \\ \\ = (12 \: mi.)(9 \: mi. \\ \\ area = {108 \: mi.}^{2} [/tex]

The area of the park is 108 mi^2.