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3 years ago

30 points math question will give brainliest help please!

Mathematics

2 answers:

evablogger [386]3 years ago

8 0

Answer:

Step-by-step explanation:

x cos(75) + x sin(75) = 26 newton

x ( cos(75) + sin(75) ) = 26

x = 26/ (cos75 + sin75) = 26/1.225 = 21.229

vertical component is 21.229 x sin75 = 20.5055 newton.

melomori [17]3 years ago

4 0

Answer:

Work=Force×Displacement

Force=Force¤

Force cos 75°

Force=26×1/4=6.5N

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A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is e

Dahasolnce [82]

Answer:

Long part= 45

Short part= 25

Step-by-step explanation:

Let the short part of the stick be x

Let the long part be x+20

The total length of the stick is 70cm

x + (x+20)= 70

x+x+20= 70

2x+20= 70

2x= 70-20

2x= 50

x= 50/2

= 25

Longer part length= 20+25

= 45

The short part is 25

5 0

3 years ago

A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.

Tju [1.3M]

$ 1850 was invested in 9% account

<u>Solution:</u>

Given that

Total amount invested by man in two saving accounts = $9493

Simple interest on one account =9%

Simple interest on second account = 10%

Total interest earned = $930.80

Need to determine amount invested in 9 % account.

Let assume amount invested in account where Simple Interest is 9% = x

And assume amount invested in account where Simple Interest is 10% = y

As total amount invested in two accounts is $9493

=> x + y = 9493

=> y = 9493 - x ------(1)

$\text { Simple Interest }=\frac{\text { Amount Invested } \times \text {rate of interest } \times \text {time}}{100}$

$\begin{array}{l}{\text { Simple interest when rate of interest is } 9 \%=\frac{x \times 9 \times 1}{100}=\frac{9 x}{100}} \\\\ {\text { Simple interest when rate of interest is } 10 \%=\frac{y \times 10 \times 1}{100}=\frac{10 y}{100}}\end{array}$

As total interest earned = $930.80

$\begin{array}{l}{\Rightarrow \frac{9 x}{100}+\frac{10 y}{100}=930.80} \\\\ {\Rightarrow 9 x+10 y=930.80 \times 100} \\\\ {\Rightarrow 9 x+10 y=93080}\end{array}$

On substituting value of y from equation(1) in above equation , we get

9x + 10 (9493 – x) = 93080

=> 9x + 94930 – 10x = 93080

=> -x = 93080 – 94930

=> -x = -1850

=> x = 1850

Amount invested in account where Simple Interest is 9% = x = $1850

Hence $1850 was invested in 9% account.

5 0

3 years ago

Enny is a financial planner and wants to sell fixed-income investments. For this purpose, she requires a(n) certificate.

tatiyna

Answer: FINRA Series 7 certificate

Step-by-step explanation:

The best certificate for her to get is the Series 7 certificate that is issued by the Financial Industry Regulatory Authority (FINRA). This certificate allows the holder to trade in every type of security there is except commodities and futures.

This includes fixed-income investments which are what Enny would like to trade in. Enny will have to write an exam to prove that she has the basic knowledge required to trade.

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3 years ago

Given isosceles trapezoid TRHY, in units what is the length of b2 if the height is 13 units, b1 is 21 units, and the area is 215

GenaCL600 [577]

We are given a trapezoid TRHY.

Height of the trapezoid = 13 units.

b1 = 21 units and

Area = 215 units squares.

We need to find the length of b2.

We know formula for area of a trapezoid.

$A= \frac{1}{2} (b1+b2)\times h$

Plugging values in formula.

215 = $\frac{1}{2}$ (21+b2)× 13.

215 = 6.5(21+b2)

Dividing both sides by 6.5, we get

$\frac{215}{6.5}=\frac{6.5(21+b2)}{6.5}$

33.08 = 21+b2.

Subtracting 21 from both sides, we get

33.08-21 = 21-21+b2

b2 = 12.08.

<h3>Therefore, length of b2 is 12.08 units.</h3>

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3 years ago

An artisan wants to split his equilateral triangular-shaped piece of glass into four equally sized pieces as part of a window de

jeka94

The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.

In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;

Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR.
Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).

Since the triangle is equilateral,

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Mid-point divides the lines into equal parts. So,

PS = SQ = QU = UR = RT = TP

Thus, it is proved that

ΔPST = ΔSTU = ΔTUR = ΔQSU

Learn more about 'Equilateral Triangle' here:

brainly.com/question/2855144

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3 years ago