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3 years ago

ABCD is a square. What is the measure of angle BAC?

Mathematics

2 answers:

bezimeni [28]3 years ago

8 0

Angle BAC is 45 degrees. The diagonal bisects angle BAD and since all angles in a square are 90 degrees, half of 90 is 45 degrees.

horrorfan [7]3 years ago

5 0

It's 45° because each angle is 90 so div by 2

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Kate wants to buy a new sled. She has already saved 35% of the amount she needs. What fraction (in the simplest form) describes

Mila [183]

Answer:

7/20.

Step-by-step explanation:

Simply convert 35% to a fraction. You get 35/100. Then, you are expected to leave your fraction in its simplest form. Do the simplification, and you will derive <u>7/20</u>.

5 0

2 years ago

Ian has the option of purchasing or renting a home. The purchase option requires a loan of $100,000 for a 20-year term at a 4.9%

jenyasd209 [6]

Answer:

The correct answer to the following question will be "70.56".

Step-by-step explanation:

The given values are:

Loan requires, PV = $100,000

Years = 20

Number of months, n = 240

Rate interest = 4.90000%

Monthly rate, r = 0.408333%

Monthly rental payment = $725

As we know,

$PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]$

On putting the values in the above formula, we get

⇒ $100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]$

⇒ $100000=PMT\times 152.8014557$

⇒ $PMT=\frac{100000}{152.8014557}$

⇒ $PMT=654.44$

Now,

$Saving \ Per \ Month =Rent \ per \ month-PMT$

On putting the values, we get

⇒ $=725-654.44$

⇒ $=70.56$

3 0

2 years ago

Find the area of the regular polygon. Round to the nearest tenth.

mojhsa [17]

Given:

Side length = 12 in

To find:

The area of the regular polygon.

Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

$$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}$

where s is side length and n is number of sides.

$$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}$

$$a=\frac{6}{ \tan (30^\circ)}$

$$a=\frac{6}{ \frac{1}{\sqrt{3} }}$

$$a=6\sqrt{3}$

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

$$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )$

$$A=\frac{1}{2}(72)(6\sqrt{3} )$

$A=216 \sqrt{3}$

$A=374.1$ in²

The area of the regular polygon is 374.1 in².

4 0

3 years ago

The ratio of the surface areas of two similar solids is 49:100. What is the ratio of their corresponding side lengths?

algol13

<span>ratio of surface area = 49:100
ratio of corresponding lengths = √49:√100 = 7:10
answer: C

Hope this helps

</span>

3 0

3 years ago

Read 2 more answers

Please help I need this ASAP!

yanalaym [24]

Answer:

nope

Step-by-step explanation:

3 0

2 years ago