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3 years ago

Please Help for both 6 and 7. I’m confused on both. Please show Explanation. Will Select Brainliest.

Mathematics

1 answer:

krek1111 [17]3 years ago

8 0

answer: 32, 72

question 6

angle PQR and 148 are supplementary angles, so they add up to 180

PQR + 148 = 180

PQR = 180 - 148 = 32

question 7

in triangle RTS, all three angles must add up to 180

angle R = angle PQR = 32

angle S = 180 - 104 = 76 (because of supplementary angles)

angle T = angle RTS (we need to find this)

32 + 76 + angle RTS = 180

angle RTS = 72

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Rectangle A is a scale drawing of Rectangle B and has 25% of its area. If rectangle A has side lengths of 4 cm and 5 cm , what a

SpyIntel [72]

Answer:

8 cm and 10 cm

Step-by-step explanation:

Hello, <em> </em>I can help you with this.

Step 1

According to the question there are two rectangles A and B,

Rectangle A is a scale drawing of Rectangle B and has 25% of its area

in other words

$Area_{A}=0.25*Area_{B} (Equation\ 1)\\$

Step 2

Let

Rectangle A

length (1)= 4 cm

length (2)= 5 cm

$Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}$

put this value into equation 1

$Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\ Area_{B}=80\ cm^{2}$

Now, we know the area of rectangle B, to know its length we need to formule other equation

Step 3

$Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\$

the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then

$\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)} \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)$

Step three

using Eq 1 and Eq 2 find the lengths

put the value of length(1B) into equation (2)

$length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm$

Now, put the value of length(2B) into equation 3 to know length (1B)

$length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm$

I really hope this helps you, have a great day.

6 0

3 years ago

a number cube is labele 1 through 6. The probability of randomly rolling a 5 is 1/6.What is the probability of not roling a 5?Pl

olga_2 [115]

5/6 because; if you take out 5 as an option to roll then you would be left with the numbers 1, 2, 3, 4, 6. There are 5 possibilities to roll out of the 6 numbers. Therefore, your answer is 5/6

5 0

3 years ago

How much interest would $2,000 earn, with simple interest, in two years at the<br>rate of 4.2%?

Anna [14]

Answer:

$168

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

I=Prt

Where:

P is the principal amount, $2000.00.

r is the interest rate, 4.2% per year, or in decimal form, 4.2/100=0.042.

t is the time involved, 2....year(s) time periods.

So, t is 2....year time periods.

To find the simple interest, we multiply 2000 × 0.042 × 2 to get that:

The interest is: $168.00

8 0

3 years ago

Identify the property demonstrated. (7x3)^4 = 7^4 x 3^4

Vikki [24]

( 7 x 4 ) ^4 = 7^4 x 3^4
The rule is:
( a * b )^n = a^n * b^n
Answer:
D ) Power of a Product Property

6 0

3 years ago

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plzzzzzzz help if u know how to do this! anyone know how to do this? I need help and I'm giving 30 points

Leviafan [203]

Answer: D

Step-by-step explanation: If you turn all of them into decimals (with 2 decimal places) then you cacn order them from least to greatest. With negatives, it is the other way.

3 0

3 years ago