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4 years ago

Is <1 and <7 supplementary

Mathematics

1 answer:

andrew-mc [135]4 years ago

7 0

Yes

Angle 1 and angle 4 add up to 180 degrees because they are on the same straight line split into two parts, and a straight line is 180 degrees. Angle 4 and angle 7 are corresponding angles, which means they occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal. Supplementary angles mean that any two angles add up to 180 degrees. Since 4 and 7 are corresponding, 1 and 7 must be supplementary

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Find the determinant of the given matrix.

JulijaS [17]

Answer: -42

Step-by-step explanation: 2*2 matrices are easy to find the determinant with. Its just ad-bc, so (5*-2)-(4*8), which is -42

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3 years ago

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What is the justification for each step in solving the inequality?

Nuetrik [128]

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3 years ago

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Please help me, I don’t understand how I keep getting it wrong!

GenaCL600 [577]

9514 1404 393

Answer:

1.2 t/m³

Step-by-step explanation:

1 tonne is 1 Mg = 10⁶ g

1 m³ is (100 cm)³ = 10⁶ cm³

The conversion is ...

(1.2 g/cm³) · (1 t)/(10⁶ g) · (10⁶ cm³)/(1 m³)

= 1.2(10⁶)/(10⁶) t/m³

= 1.2 t/m³

For this conversion, the numerical value does not change. Megagrams per cubic meter is the same ratio as grams per cubic centimeter.

6 0

3 years ago

It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude o

Juli2301 [7.4K]

Given that,

An egg takes 198 seconds to boil a perfect egg has an altitude of -418 m.

Also it takes 209 seconds at an altitude of 8848 m.

To find,

The domain of T.

Solution,

Domain is the set of input values for which the function is defined. The least value is -418 m and the highest value is 8848 m. So, the domain is :

$-418\le x \le 8848$

Therefore, this is the required solution.

3 0

3 years ago

Carmella is purchasing a $105,000 home and her bank is offering her a 30-

GREYUIT [131]

Answer:

$132.93

Step-by-step explanation:

We will use annuity formula, which is:

$P=C[\frac{1-(1+r)^{-n}}{r}]$

Where P is the loan amount

C is the monthly payment

r is the rate of interest [monthly]

n is the time period [in months]

Firstly, let's calculate her normal monthly payment (without purchasing points):

P is 105,000

C is what we need to find

r is the 0.045/12 = 0.00375

n is 12*30 = 360

Now, we have:

$P=C[\frac{1-(1+r)^{-n}}{r}]\\105,000=C[\frac{1-(1+0.00375)^{-360}}{0.00375}]\\105,000=C[197.3612]\\C=532.02$

So monthly payment would be around $532.02

Now,

With each point purchase, the interest rate goes down by 0.25%, so for 2 points it will be 4.5% - 2(0.25) = 4%

Also, since 20% downpayment, the loan amount would be (0.8)(105,000) = 84,000.

Now, putting these values into the annuity formula we have:

$84,000=C[\frac{1-(1+0.0033)^{-360}}{0.0033}]\\84,000=C(210.4766)\\C=399.09$

The monthly payment would be around $399.09

The amount that is lower is 532.02 - 399.09 = $132.93

4 0

3 years ago