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DedPeter [7]
3 years ago
11

Find the the first two steps necessary to simplify 16+4(3+8)2-21

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0
Due the parentheses first so 16+4+11*2-21 then multiply 16+4+22-21 from here you can answer left to right 20+4+22-21 then 24+1=25
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In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.
jok3333 [9.3K]

Answer:

The measurement of EF is 1.98 units

Step-by-step explanation:

In Δ DEF

∵ m∠E = 90°

∴ FD is the hypotenuse of the triangle

∵ m∠D = 26°

∵ EF is opposite to angle D

- We can use the sine ratio to find it

∵ sin D = \frac{EF}{FD} ⇒ (opposite side / hypotenuse)

∵ FD = 4.5 units

∴ sin(26) = \frac{EF}{4.5}

- Multiply both sides by 4.5

∴ 4.5 sin(26) = EF

∵ sin 26° ≈ 0.44

∴ 4.5(0.44) = EF

∴ 1.98 = EF

The measurement of EF is 1.98 units

3 0
3 years ago
In △PQR, find the measure of ∡P.
prisoha [69]
57.6² = 33.8² + QR²
QR² = 2.175,32
QR = 46.64

57.6/sen90º = 46.64/sen(P)
sen(P) = 46.64*sen90º/57.6
sen(P) = 0.809
angle P is sen^-1 = 54.06º ≈ 54.1º

8 0
4 years ago
Read 2 more answers
Please can I have some urgent homework will mark anyone whjo does it as brainliest
polet [3.4K]

Answer:

<h2>210 cm³</h2>

Step-by-step explanation:

let V represent the volume of the triangular prism

V = base × height

base = (7×6)/2 = 42/2 = 21

height = 10

then

V = 21×10 = 210

7 0
4 years ago
The table shows the masses of four objects. A 2-column table with 4 rows. The first column labeled object has entries book, rock
Ede4ka [16]

Answer:

ROCK 2.3 kg

is about 22.5N

Step-by-step explanation:

To convert kg>>>>N

You multiply by 9.8 (this is good for estimating, but use more decimal places like, 9.80665 for more exact calculations).

You can divide N÷9.8 to find kg

see image

6 0
2 years ago
phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year
Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0
3 years ago
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