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3 years ago

11

What is the area of this trapezoid?

2 answers:

umka21 [38]3 years ago

8 0

Answer:

108

Step-by-step explanation:

Base+Base÷2 × height
10+7+7=10+14
24÷2=12
12×9=108

Anestetic [448]3 years ago

5 0

Answer:

153 square units

Step-by-step explanation:

area of trapezoid = (base1 + base2)/2 * height

The bottom base is base1. base1 = 10 + 7 + 7 = 24

The top base is base2. base2 = 10

area = (24 + 10)/2 * 9

area = 17 * 9

area = 153

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A pick-up weighing 1.4 t is loaded with 40 bags of cement each weighing 50 kg. What in the total weight of the pick-up and its l

mixer [17]

Answer:

3.4 tonnes

Step-by-step explanation:

Kg --> tonnes = / 1000

50 x 40 / 1000 = 2. 2 + 1.4 = 3.4.

5 0

2 years ago

Given the following trigonometric ratio, enumerate the meaning ratio

Likurg_2 [28]

Answer:

The trigonometric ratios are presented below:

$\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}$

$\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}$

$\cot \theta = \frac{BC}{AC}$

$\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}$

$\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}$

Step-by-step explanation:

From Trigonometry we know the following definitions for each trigonometric ratio:

Sine

$\sin \theta = \frac{y}{h}$ (1)

Cosine

$\cos \theta = \frac{x}{h}$ (2)

Tangent

$\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}$ (3)

Cotangent

$\cot \theta = \frac{\cos \theta}{\sin \theta} = \frac{x}{y}$ (4)

Secant

$\sec \theta = \frac{1}{\cos \theta} = \frac{h}{x}$ (5)

Cosecant

$\csc \theta = \frac{1}{\sin \theta} = \frac{h}{y}$ (6)

Where:

$x$ - Adjacent leg.

$y$ - Opposite leg.

$h$ - Hypotenuse.

The length of the hypotenuse is determined by the Pythagorean Theorem:

$h = \sqrt{x^{2}+y^{2}}$

If $y = AC$ and $x = BC$ , then the trigonometric ratios are presented below:

$\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}$

$\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}$

$\cot \theta = \frac{BC}{AC}$

$\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}$

$\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}$

6 0

3 years ago

Evaluate the expression.

MaRussiya [10]

Answer:

1/125

Step-by-step explanation:

5^-3

We know that a^-b = a/a^b

1/5^3

1/125

8 0

3 years ago

Read 2 more answers

7^(x+4)=-34 solve for x

damaskus [11]

for
x^m=y
that means
$log_x(y)=m$
so

$7^{x+4}=-34$ means

$log_7(-34)=x+4$
minus 4 from both sides
$log_7(-34)-4=x$

6 0

3 years ago

Three cartons of juice cost $4.77? find the cost of 8 cartons

AleksAgata [21]

Note: <span>Make the rule of three simple

cartoons __ price $
3 --------------- 4.77
8 --------------- y

Solving: (</span><span>directly proportional)
</span>
$\frac{3}{8} = \frac{4.77}{y}$
<span>Product of extremes equals product of means
</span> $3*y = 8*4.77$
$3y = 38.16$
$y = \frac{38.16}{3}$
$\boxed{\boxed{y = 12.72}}\end{array}}\qquad\quad\checkmark$

Answer:
The price of eight cartoons was $\$\:12.72$

7 0

4 years ago