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2 years ago

Pls answer this asap

Mathematics

1 answer:

sveticcg [70]2 years ago

6 0

The side of the garden nearest tenth foot is - 9.5 feet

Given:Area of grandma's garden=90 square feet

To find:The length of the side nearest to tenth foot.

Solution:

Area=(side)^2

Side of the garden=√90

Therefore,√90=9.48683298

The sides of the garden are less than 10 feet but more than 9 feet

So,the side of the garden nearest tenth foot is -

9.5 feet

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Find x on this special right triangle

Vinil7 [7]

Answer:

x=9.79

Step-by-step explanation:

firstly find the hypotenuse of the first triangle

sin45=12/h

sin45h/sin45=12/sin 45

h=16.9

after finding the hypotenuse you can then use it to find x by using tan

tan60=16.9/x

tan60x/tan60=16.9/tan60

x=9.79

I hope this helps!!

3 0

2 years ago

The formula A equals =P left parenthesis 1 plus r right parenthesis squared (1+r)2 gives the amount A in dollars that P dollars

vlabodo [156]

The interest rate is 3.5%.

EXPLANATION

We substitute the given values into the formula;

$A=P(1+\frac{r}{100})^t$

to obtain

$6427.35=6000(1+\frac{r}{100})^2$

We divide through by 6000 to obtain,

$\frac{6427.35}{6000}=(1+\frac{r}{100})^2$

This implies that,

$1.071225=(1+\frac{r}{100})^2$

We take the square root of both sides,

$\sqrt{1.071225}=(1+\frac{r}{100})$

This gives us,

$1.035=(1+\frac{r}{100})$

Add -1 to both sides of the equation to obtain

$0.035=\frac{r}{100}$

Multiply through by 100 to obtain;

$r=3.5$ %

$Therefore the rate is 3.5%$

3 0

2 years ago

What is the sum of the last four terms of the series 7+9+11+...21

Sidana [21]

For sake of convenience, reverse the series, then it would be:

21,19,17.....7

a=21, d = -2,

s(4) = 4/2 (21+15)

s(4)=2(36)

s(4) = 72

8 0

3 years ago

Please help, would be greatful :)

tankabanditka [31]

Answer:

x ≈ 25.5°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = x°

Opposite Leg = 10

Hypotenuse = 21

Step 2: Solve for x

Substitute [tangent]: tanx° = 10/21
Inverse trig: x° = tan⁻¹(10/21)
Evaluate: x = 25.4633°
Round: x ≈ 25.5°

8 0

2 years ago

Factor by grouping.......

Gekata [30.6K]

Answer:

A. (7n-1) (8n-1)

Step-by-step explanation:

56n^2 -8n-7n+1

56n^2 -8n -7n+1

Factor out 8n from the first group and -1 from the second group

8n (7n-1) -1(7n-1)

Factor out the (7n-1)

(7n-1) (8n-1)

7 0

2 years ago