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3 years ago

Question 1

Mathematics

1 answer:

inn [45]3 years ago

7 0

Answer:

The number which is more than 6 and less than 8 is 7.

Step-by-step explanation:

There are the natural numbers.

To find the number which is more than 6 but less than 8.

The numbers which are more than 6 are 7, 8, 9, 10, ....

The numbers which are less than 8 are ...,3, 4, 5, 6, 7

So, the number which is more than 6 and less than 8 is 7.

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The side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.

GrogVix [38]

Answer: C) mC > mA > mB is correct regarding the angles of the triangle ABC.

Step-by-step explanation:

Given: In Δ ABC, the side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.

AB=4p-1 , AC=p+4 , BC=3p

where p+4 < 3p [as p≥3]

3p < 4p-1 [as p≥3]

⇒ 4p-1> 3p > p+4

⇒AB>BC>AC

Angle opposite to AB ,BC and AC is m∠C ,m∠A and m∠B.

Therefore mC > mB > mA [∵Angle opposite to greater side is greater]

Thus , mC > mA > mB is correct regarding the angles of the triangle ABC.

8 0

3 years ago

Read 2 more answers

Fatima saved $15,000 toward a down payment on a house. She makes $5,375 a month. What is the maximum loan she can take on a hous

Fittoniya [83]

We will use $\frac{28}{36}$ ratio to determine how much can Fatima afford as a loan for her house.

Let gross income of Fatima = $ x

Amount earned by Fatima monthly= $ 5,375

36 % of 5,375=

$\frac{36}{100}\times 5,375=1935$ $

Maximum amount that can be paid as a loan monthly = $ 1935

Total money that she can pay yearly for house loan if Fatima allowable money for paying loans is $ 1935=

$1935 \times 12=23220$ $

Money saved as a down payment = $ 15,000

So, maximum amount loan Fatima can take on a house= 23220 + 15000=$38,220

She is not allowed for loan for house if the cost of house is any of the four options.

(B) 28 % of $ 5375=

$\frac{28}{100}\times 5,375=1505$ $

Maximum amount that Fatima spend on her house monthly= $ 1505

Amount that fatima can spend yearly on her house = 1505× 12 =$18,060

For the four options given , none of the option matches Fatima's expectations.

7 0

4 years ago

Read 2 more answers

Jason draws a line in the sand at the beach the line is 7/8 feet long he wants to divide the line into sections that are 1 8 fee

abruzzese [7]

The answer is 7 sections
In this type of question, you just need to divide the total length of the line that drawn by Jason with the length of sections that Jason want.

So, the calculation would be:

(7/8) / (1/8)

= 7/8 x 8/1

= 7 amount of sections

4 0

4 years ago

Read 2 more answers

Which of the following climates regions tends to have short grasses and shrubs that receive little rain A.tropical wet and dry B

GREYUIT [131]

Semiarid,

Source: Quizlet Science lesson 21 Climate Regions

8 0

3 years ago

Read 2 more answers

Determine the longest interval in which the given initialvalue problemis certainto have a unique twicedifferentiable solution. D

AlekseyPX

Answer:

t_o = 3, so solution exists on (0,4).

Step-by-step explanation:

Use Theorem

Divide equation with t(t — 4).

y''+[3/(t-4)]*y'+ [4/t(t-4)]*y=2/t(t-4)

p(t)=3/t-4—> continuous on (-∞, 4) and (4,∞)

q(t) = 4/t(t-4) —> continuous on (-∞,0), (0,4) and (4, ∞)

g(t) = 2/t(t-4)—> continuous on (-∞, 0), (0,4) and (4,∞)

t_o = 3, so solution exists on (0,4).

6 0

3 years ago