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3 years ago

Find the unknown angle

Mathematics

2 answers:

Naily [24]3 years ago

8 0

Answer:

Step-by-step explanation:

X=180_(90+41)=49

leonid [27]3 years ago

8 0

Answer:

x = 49

Step-by-step explanation:

180 = 41 + 90 + x (90 bc it a rt angle btw)

180 = 131 + x

49 = x

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Whats kjfsjfhafkjsfvkasvkasfjgajsf 10 + 2

notsponge [240]

Answer:

Step-by-step explanation:

I think that’s what u saying

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3 years ago

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The model of a shopping mall is made using a scale of 1: 50

jekas [21]

Answer:

20 m

Step-by-step explanation:

Given that :

Scale of 1 : 50 is used to make a model

If the model has a height of 40 cm ; the height of the house is:

Then, the actual height of the house is (40 * 50) = 2000 cm

Thus the height of the house in metre is :

100cm = 1 meter

2000 cm = 2000 / 100

2000 cm = 20 meter

Height of house in meter = 20 meter

3 0

3 years ago

Alison walks 2/5 mile from her house to the mailbox. Then she walks 1/3 mile to the bus stop. What is the total distance Alison

stealth61 [152]

Answer:

Total distance:

d=11/15 miles or 0.73 miles

Step-by-step explanation:

Alison walks 2/5 miles from her house to the mailbox.

Then she walks 1/3 mile to the bus stop.

Thus, the total distance can be calculated by adding the miles

i.e.

$d=\:\frac{2}{5}+\frac{1}{3}$

LCM of 5,3 is 15

$=\frac{6}{15}+\frac{5}{15}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$=\frac{6+5}{15}$

$=\frac{11}{15}$

$=\:0.73$ miles

Thus,

Total distance:

d=11/15 miles or 0.73 miles

7 0

3 years ago

Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4

jok3333 [9.3K]

Answer:

$\displaystyle \int\limits^4_3 {2x + 3} \, dx = 10$

General Formulas and Concepts:
Calculus

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

Step 1: Define

Identify.

y = 2x + 3

x-interval [3, 4]

x-axis

See attachment for graph.

Step 2: Find Area

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^4_3 {2x + 3} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle A = \int\limits^4_3 {2x} \, dx + \int\limits^4_3 {3} \, dx$
[Integrals] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle A = 2 \int\limits^4_3 {x} \, dx + 3 \int\limits^4_3 {} \, dx$
[Integrals] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = 2 \bigg( \frac{x^2}{2} \bigg) \bigg| \limits^4_3 + 3(x) \bigg| \limits^4_3$
[Integrals] Integrate [Integration Rule - FTC 1]: $\displaystyle A = 2 \bigg( \frac{7}{2} \bigg) + 3(1)$
Simplify: $\displaystyle A = 10$

∴ the area bounded by the region y = 2x + 3, x-axis, and the coordinates x = 3 and x = 4 is equal to 10.

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Learn more about integration: brainly.com/question/26401241

Learn more about calculus: brainly.com/question/20197752

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

3 0

2 years ago

The sum of three consecutive odd numbers is one hundred fifty-nine

xeze [42]

First remember that sum means to add. now think about the equation. we need to find 3 numbers that equal 159 when added together. And they are all consecutive odd numbers. so let's call the first number X. the second number would be X+2 since we have to jump over 1 even number. The third number would be X+4 since we have to jump over 2 even numbers. so now an equation to represent this would be X+(X+2)+(X+4)=159. Add like terms, and remember order of operations. if you need help getting the answers leave me a comment.

8 0

3 years ago