At a museum 100 posters are displayed in each of four rooms altogether how many posters are displayed

0.482 × 61.2² ÷√98.01

mixer [17]

Answer:

Use by Prime factorisation method

3 0

2 years ago

PLEASE ANSWER THIS AND SHOW WORK. FIND THE SURFACE AREA FOR THE FIGURE BELOW

Varvara68 [4.7K]

Answer:

Total surface area of the given figure is 246.75 square mile.

Step-by-step explanation:

Surface Area of the given figure = Lateral surface area + Area of the base

Lateral surface area of the figure = Sum of the areas of 5 triangular surfaces

= $5(\frac{1}{2} )(\text{Base})(\text{Slant height})$

= $\frac{5}{2}(7)(9.3)$

= 162.75 mi²

Surface area of the pentagonal base = 84 mi²

Total surface area of the figure = 162.75 + 84

= 246.75 mi²

Therefore, total surface area of the given figure is 246.75 square mile.

8 0

2 years ago

PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

3 years ago

An interior designer sketches a design for a rectangular rug. The dimensions of a sketch are 4 inches by 7.5 in. The dimensions

Black_prince [1.1K]

3,000 in.

(4 x 10) + (7.5 x 10) = 3000

The dimensions on the sketch are 10 times less than the actual rug.

40 in., 7.5 in.

The drawing lengths are ten times more, so you just multiply the dimensions by 10, and then multiply the product you find out to find the actual area of the rug.

4 0

3 years ago

What are the x-intercepts of the graph of the function f(x)=x2+ 4x-12

grin007 [14]

x^2 + 4x-12 =0

factor

(x+6) (x-2)=0

x+6=0 x-2=0

x=-6 x=2

are the x intercepts

Answer -6, 2

7 0

3 years ago

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