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Sergeeva-Olga [200]

3 years ago

14

Geometry! Please help! What is the area of this triangle?

1 answer:

djverab [1.8K]3 years ago

3 0

In both cases, the area of the triangle can be computed from the formula
A = (1/2)bh
where b is the length of the base, and h is the height perpendicular to the base.

1. It is convenient to use DE as the base. Its length is 4-1 = 3. Then the height is the distance from F to DE, which is 1-(-3) = 4. By the formula, the area is
A = (1/2)(3)(4) = 6

2. It is convenient to use LK for the base. Its length is 4-0 = 4. Then the height is the distance from J to the line y=-5, which is -1-(-5) = 4. By the formula, the area is
A = (1/2)(4)(4) = 8

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Simplify the expression.

Doss [256]

Distribute 6 thru the parenthesis=

198 pie plus 6 pie

Factor out the perfect square=
Pie 3 to the second power times 22 plus 7 pie 6

Calculate the square root =

3 pie 22 plus 7 pie 6

Which equals to 31.2177

5 0

3 years ago

An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s

marin [14]

Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

<u>Surface area of the tower = 5,218.1 m²</u>

4 0

3 years ago

5(-6 - 12) +4.1= <br> can you help me with this question

Sophie [7]

Answer:

-85.9

Step-by-step explanation:

4 0

3 years ago

Find each difference. Write in simplest form 7/8-5/8=

Ivanshal [37]

7/8-5/8= 2/8 and if you reduce 2/8 by 2 it becomes 1/4. So 1/4 is your answer. Hope This Helps :D

5 0

3 years ago

Write the equation in slope-intercept form then change it to standard form with integer coefficients.

SCORPION-xisa [38]

Answer:

1. Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

2. Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

3. Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

Step-by-step explanation:

Slope intercept form: $y = mx + b$

where:

$y$ = y-coordinate
$m$ = slope
$x$ = x-coordinate
$b$ = y-intercept

Standard form: $Ax + By = C$

$\textsf{1. as} \ m=2: \ \ y = 2x + b$

$\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b$

$\implies b = -4$

Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

$\textsf{2. as} \ \ m = \dfrac12: \ \ y = \dfrac12x + b$

$\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b$

$\implies b = -1$

Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

$\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b$

$\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b$

$\implies b = \dfrac{21}{5}$

Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

7 0

2 years ago