Through (1,0) slope = -1

Answer:

Lateral Surface Area = 472 m²

Total Surface Area = 486m²

Step-by-step explanation:

The above prism is a Triangular prism

a) Lateral Surface Area = Perimeter of the Base × H

H = 29m

Perimeter of the Base = (7m + 7.28m + 2m)

= 16.28m

Lateral Surface Area = 16.28m × 29m

= 472.12 m²

Approximately to the nearest whole number = 472 m²

b) Total Surface Area

Triangular prism =

2 Triangles and 3 Rectangles

1st Triangle = 1/2 × base × Height

= 1/2 × 2m × 7m

= 7m²

2nd Triangle = 1/2 × base × height

= 1/2 × 2m × 7m

= 7m²

1st Rectangle = Length × Width

= 29m × 2m = 58m²

2nd Rectangle =

Length × Width

= 29m × 7.28m = 211.12m²

Length × Width

= 29m × 7m = 203m²

Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²

= 486.12m²

Approximately to the nearest whole number = 486 m²

Option A is the correct option

4x(2x + 3) .......

hope it helps

Answer: b= 4x( 2x + 3)

Step-by-step explanation:

8x2 + 12x = (4x) × (2x) + (4x) × (3) ; we factor 4x out.

= 4x( 2x + 3)

Answer:

28 square yards

Step-by-step explanation:

Answer:

$26750

Step-by-step explanation:

1/5 * (total salary) = 5350

So, 5*5350 = total salary = 26750

Answer:

C

Step-by-step explanation:

In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4

Using sohcahtoa, we can establish that

sin(∠C) = opposite/hypotenuse = 14.4/17.5, and

arcsin(14.4/17.5) = ∠C = 55°

Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°

Answer:

14 5/24

Step-by-step explanation:

Ariana's rode the bus 5 3/8 miles to the mall

She rode 2 3/4 miles to her friends place

Then she rode anrhe 6 1/12 miles back home

Therefore the total distance can be calculated as follows

= 43/8 +11/4 + 73/12

= 5456/384

= 341/24

= 14 5/24

Hence the total distance is 14 5/24 miles

Answer:

a = 45 millimeters

Step-by-step explanation:

In order to solve this, we need to know that for right-angled triangles the following is true:

[tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the hypotenuse and "a" and "b" are the legs)

From the formula above we can conlude that...

[tex]a = \sqrt{c^{2} - b^{2} }[/tex]

Now we just substitute the variable that we know and get that...

[tex]a = \sqrt{c^{2} - b^{2} }\\a = \sqrt{75^{2} - 60^{2} } \\a = \sqrt{5,625 - 3600} \\a = \sqrt{2025} \\a = 45[/tex]

Therefore a = 45millimeters.

x = 16°

Step-by-step explanation:

The sum of angles in a straight line = 180°

Therefore

5x + 100° = 180°

5x = 180° - 100°

5x = 80°

x = 80/5

x = 16°

Answer:

SR = 28

Step-by-step explanation:

Recall: The corresponding side lengths of any two similar polygons are proportional.

Since the two polygons given are similar, it implies that:

SR/DC = PQ/AB

SR = ?

DC = 20

PQ = 21

AB = 15

Plug in the values

SR/20 = 21/15

Solve for SR. Cross multiply

SR*15 = 21*20

SR*15 = 420

Divide both sides by 15

SR = 420/15

SR = 28

Find the distance of each trip:

68 km / 34 trips = 2 km per trip

Divide total distance by distance per trip:

348 km / 2 km per trip = 174 trips

Answer: 174 trips

Answer:

f(x + 1) = -(3/4)*f(x)

(second option)

Step-by-step explanation:

Here we have the sequence:

64, -48, 36, -27, ...

First, we can notice two things:

Each term has a different sign than the previous term, so the relation is something like:

f(x + 1) = -k*f(x)

Now to find the value of k, we can just replace some of the values (for example, the first and the second one)

-48 = -k*64

48/64 = k

3/4 = k

Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:

36 = -k*(-48)

36 = k*48

36/48 = k

3/4 = k

We got the same value, so we can conclude that k = (3/4)

Then the relation that describes this sequence is:

f(x + 1) = -(3/4)*f(x)

Answer:

a

Step-by-step explanation:

Answer:

Imaginary: 20i

Real: 26

Step-by-step explanation:

Hope this helped.

Answer:

6,14

Step-by-step explanation:

yeah that is the answer

because if you substitute you get the answer

Answer:

C

Step-by-step explanation:

6=x

14=y

input those 2 values into the equation

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The option that has the same range than f(x) is:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

Here we first have the function:

[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]

Remember that the square root only can be evaluated arguments equal or larger than zero.

So the minimum value of x that we can use is x = 3.

[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]

And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.

So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.

The option that meets these two conditions is the third one:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

If you want to learn more about domains and ranges, you can read:

https://brainly.com/question/10197594

Answer:

18.08 million people increase per year

Step-by-step explanation:

870.5 to 960.9 difference in 5 years.

960.9- 870.5 divided by 5 is your formula

comes to a 18.08 million people increase per year

no agruing this answer

Answer:

The correct answer is D. The debt will never be completely repaid.

Step-by-step explanation:

Since the question refers to a credit card debt on which the minimum monthly payment is paid for an indefinite period of months, in this case the debt will never be fully repaid, since the minimum payments will be constantly added values as interest, which will increase the value of the debt due to compound interest.

Answer:

c. 12 years

Step-by-step explanation:

according to the book, it says it would take 12 years to get it paid off with just the minimum payments

Answer:

$1865

The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.

The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.

Answer:

Point Form:

(1,−2)

Step-by-step explanation:

Equation Form:

x=1 , y=−2

glad to be of assistance

Answer:

i just don't known

Step-by-step explanation:

1.20

Answer:

3

Step-by-step explanation:

Simply follow the translation rule by adding 5 to the x value and subtracting 4 from the y value

The question is essentially asking us to find the y value after the translation

If 7 was the pre image y value and the rule for y value = is -4 then the new y value = 7 - 4 = 3

Answer:

a(n) = -20 + 3(n - 1)

Step-by-step explanation:

a(n) = -20 + 3(n - 1)

Answer:

2. The ratio of the corresponding sides of ΔUTS and ΔUDE are not equal

3. ΔCBA ~ ΔHGF

4. ΔVUT ~ ΔVML

5. ΔTUV ~ ΔJKL

6. The ratio of all the corresponding sides and all the corresponding angles in triangles ΔSTU and ΔSCB are not equal

7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are not equal

Step-by-step explanation:

2. The ratio of the corresponding sides of ΔUTS and ΔUDE are;

36/43, 16/39, and 16/40

We have;

[tex]\dfrac{36}{43} \neq\dfrac{16}{39}[/tex]

∴ ΔUTS is not similar to ΔUDE, because the ration of the corresponding sides of both triangles are not equal

3. The interior angles of ΔCBA are;

∠A = 33°, ∠B = 88°, and ∠C = 59°

The interior angles of ΔHFG are;

∠H = 33°, ∠F = 59°, and ∠G = 88°

∴ ΔCBA ~ ΔHGF (ΔCBA is similar to ΔHGF) (Letters rearranged) by Angle-Angle, AA, similarity postulate

4. The measure of angle ∠LMV = 25° = The measure of angle ∠UTV Given

The measure of angle ∠MVL = ∠TVU by reflexive property

Therefore, ΔVUT ~ ΔVML (ΔVUT is similar to ΔVML) by Angle-Angle, AA, similarity postulate

5. The measure of angles ∠T and ∠U in triangle ΔTUV are equal to the measure of angles ∠J and ∠K in triangle ΔJKL

Therefore, ΔTUV ~ ΔJKL (ΔTUV is similar to ΔJKL) by Angle-Angle, AA, similarity postulate

6. In triangles ΔSTU and ΔSCB, we have;

The ∠TSU = ∠TSU by reflexive property

However, ∠SUT ≠ ∠SNC ≠ ∠STU

Therefore, ΔSTU is not similar to ΔSCB due to the triangles have one non equal angle

[tex]\dfrac{SB}{SU} =\dfrac{22}{33} = \dfrac{2}{3} =\dfrac{18}{27} = \dfrac{CB}{TU} \neq \dfrac{21}{30} = \dfrac{7}{10} = \dfrac{CS}{TS}[/tex]

From which we get;

[tex]\dfrac{SB}{SU} \neq \dfrac{CS}{TS}[/tex]

∴ ΔSTU is not similar to ΔSCB, because not all the ratio of the corresponding sides and angles are equal

7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are;

[tex]\dfrac{KB}{KL} = \dfrac{18}{88} = \dfrac{9}{44}[/tex]

KM = KC + CM = 25 + 107 = 132

[tex]\dfrac{KC}{KM} = \dfrac{25}{132}[/tex]

Therefore;

[tex]\dfrac{KB}{KL} \neq \dfrac{KC}{KM}[/tex]

The ratio of the sides of triangles, ΔKLM and ΔKBC are;

Therefore ΔKLM and ΔKBC are not similar, because the ratio of the corresponding sides are not equal

Answer:

See below.

Step-by-step explanation:

In a rhombus, all sides are congruent.

In a rhombus, opposite angles are congruent, and consecutive angles are supplementary.

XW = 4 cm

WZ = 4 cm

ZY = 4 cm

YX = 4 cm

m<X = 100 deg

m<Z = 100 deg

m<W = 80 deg

m<Y = 80 deg

4.26

[tex]12 \times 0.4 = 4.8 \\ [/tex]

Given:

A cube has square sides with area [tex]x^2+24x+144[/tex].

To find:

The expression that represents the surface area of the cube.

Solution:

We have

The area of each side of cube = [tex]x^2+24x+144[/tex]

Number of sides of a cube = 6

We know that, the total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is

[tex]SA=6(x^2+24x+144)[/tex]

[tex]SA=6(x^2)+6(24x)+6(144)[/tex]

[tex]SA=6x^2+144x+864[/tex]

Hence, the expression that represents the surface area of the cube is [tex]6x^2+144x+864[/tex].

Answer:

39

Step-by-step explanation: